Answer:
The measure of angle ALO = 35°
Step-by-step explanation:
* Lets talk about the tangents to a circle drawn from a point
outside the circle:
- They are equal in length
- They are perpendicular to the radii at the point of tang-ency
- If we join the points of tang-ency withe the center of the circle
and join the outside point with center of the circle, we
formed two congruent triangles
* Now lets check our problem
- AL and LB are two tangents to the circle O ant points A and B
∴ LA = LB ⇒ (1)
- OA and OB are radii in circle O
∴ OA = OB ⇒ (2)
∴ OA ⊥ AL and OB ⊥ BL ⇒ radius and tangent
∴ m∠OAL = 90° , m∠OBL = 90
∴ m∠OAL = m∠OBL ⇒ (3)
* From (1) , (2) , (3)
- The two triangles LAO and LBO are congruent ⇒ SAS
- SAS is one case of congruence
∵ The lengths of two sides and the measure of the including
angle between them in one triangle equal to the
corresponding sides and angles in the second triangle,
then the two triangles are congruent
∴ m∠LOA = m∠LOB
∵ m∠AOB = 110°
∴ m∠LOA = m∠LOB = 110/2 = 55°
* In ΔLAO
∵ m∠ LAO = 90° , m∠LOA = 55°
∴ m∠ALO = 180 - (90 + 55) = 180 - 145 = 35°
* The measure of angle ALO = 35°
Mark all the statements that are true.
A. The range for this function set (3)
B. All real numbers are in the range of this function
C. This graph is not a function because the value of y is the same for every value of x.
D. The domain for this function is the set. (3)
E. The domain for this function is all real numbers.
Answer:
A, E
Step-by-step explanation:
The function is the rule that maps to each x exactly one y (these y can be the same). Thus the given graph represents the function (option C is false).
The domain of the function are all possible values for x. Thus, from the given graph the domain of the function are all real numbers (option E is true, option D is false).
The range of the function are all possible values for y. Thus, from the given graph the range of the function is the set {3} (option A is true, option B is false).
Answer:
A&E
range is the y axis so its stuck at 3 and the
domain is all real numbers
A&E
Please help !
Graph ; Y= 3= 1/2 (x+3)
Answer:
See picture.
Step-by-step explanation:
This line is in point slope form [tex]y - y_1 = m(x-x_1)[/tex] where [tex](x_1, y_1)[/tex] is a point on the line. Begin graphing the line by first graphing the point (-3, 3) from the equation. Then move up 1 unit and over 2 units according to slope. This new point is (-1,4).
Answer mine!
Step-by-step explanation:
Answer my question to please!!
The supplies are packed inside a cube – shaped box with side lengths 4 ½ in. These boxes are then packed into a shipping box with dimensions of 18 in x 9 in x 4 ½ in.
Answer:
eight cubes can be shipped.
Step-by-step explanation:
The height of the shipping box is the same as the height of the boxes that are about to be shipped. (4 1/2 inches). So you can get 1 layer of the boxes to be shipped.
The length of the shipping box is 18 inches. You will be able to get 18/4.5 = 4 boxes along the 18 inch side.
The 9 inch side will allow 2 boxes.
In all you can ship 2 * 4 boxes in the shipping box which is eight 4 1/2 inch cubes in all.
Help please and thank you
The correct option is C
Step-by-step explanation:See the attached image
John had 5 apples, Jimmy took 4. How many apples does John have now?
one apple left you subtract 5 from 4 and get 1
Answer:
1
Step-by-step explanation:
ok so if john had 5 but then micky mouse said oh no this is worng and mutiplie that by 903238424203849 x 0q98e0qw98e9q0we9w0q that is if the answer your looking for is 1 :>
what os two ways to show 76x29
Do a box and split it into four then on 1/4 do 70, 1/4 do 6 then on the top side do 20 and 4 and multiply
the height of the slide is 10 feet. The distance between the ladder and the edge of the slide is 12 feet. what is the distance of the slide?
Answer:
a^2 + b^2 = c^2 so
10^2 + 12^2 = Distance
100 + 144 = C^2
15.62 ft=C or the distance of slide
Step-by-step explanation:
A graduate school plans to increase its enrollment capacity by developing its facilities and the programs it offers. Their enrollment capacity this year was 120 graduate students. Beginning next year, the school plans to triple this number every year, with a target enrollment capacity of 3,240 students. Which equation represents this situation, and after how many years, t, will the graduate school be able to achieve its target enrollment capacity? A. 120(3)t = 3,240; t = 3 B. 120 + (3)t = 3,240; t = 7 C. (120 · 3)t = 3,240; t = 2 D. 120(1.3)t = 3,240; t = 27
Answer:
A. 120(3)t = 3,240; t = 3
Step-by-step explanation:
We are given that enrollment capacity for first year = 120
The school plans to triple the capacity every year.
Assuming t to be the number of years, the capacity for every t year will be [tex]3^t[/tex].
This is expressed by the equation [tex]120(3)^t = 3240[/tex]
Substituting t =3 in the above equation to get:
[tex]120(3)^3 = 120\times 27=[/tex] 3240
So the equation is true when t = 3.
Therefore, the correct answer option is A. 120(3)t = 3,240; t = 3.
Answer: the one your looking for is A
10..................................
Answer:
The answer is 7 ⇒ answer (C)
Step-by-step explanation:
∵ (3 + √2)(3 - √2) =
9 - 3√2 + 3√2 - 2 = 9 - 2 = 7
∴ The answer is 7
For this case we must simplify the following expression:
[tex](3+ \sqrt {2}) (3- \sqrt {2})[/tex]
We apply distributive property:
[tex]9-3 \sqrt {2} +3 \sqrt {2} - \sqrt {2} * \sqrt {2} =[/tex]
We take into account that different signs are subtracted and the sign of the major is placed:
[tex]9 - (\sqrt {2}) ^ 2 =\\9-2 =[/tex]
We take into account that different signs are subtracted and the sign of the major is placed:
[tex]9-2=7[/tex]
So, we have:
[tex](3+ \sqrt {2}) (3- \sqrt {2}) = 7[/tex]
Answer:
Option C
A medical researcher prepares a number of sugar tablet doses. The only ingredient is sugar, they are absolutely safe to administer, and they have no medical effects whatsoever. The likely purpose of these tablets is:
Answer:
The answer is probably E (placebos)
Step-by-step explanation:
Because the sugar tablets will do nothing to the patient, the reasearcher wants to see how the patient will act thinking that they are being treated with medication, when infact it is just a sugar tablet, he is trying to find out the psychological effect it will have on the patient, so the answer is E.
The sugar tablets devoid of any medical effects are most likely used as placebos in medical research. They serve as a control measure in drug trials to ensure any observed changes are attributed to the medication being tested and not from biases or expectations.
Explanation:In the field of medical research, sugar tablets without any medical effects are likely used as placebos. Placebos are administered as control measures in experimental studies to ensure that any observed effects can be attributed to the medication being tested, rather than participant expectations or experimenter bias. For instance, in a drug trial, one group (the experimental group) receives the medication, while another group (the control group) receives a placebo, in this case, a sugar tablet. If the experimental group shows different results as compared to the control group, it can be deduced the differences are likely due to the drug itself. This process helps to maintain the integrity and credibility of medical research.
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Simplify 12/16 to lowest terms and find an equivalent fraction that has a denominator of 32
The lowest terms are 3/4 using the the least common denominator. The equivalent fraction over 32 would be 24/32 because it would reduce to 3/4 as well
Given:
The fraction value is:
[tex]\dfrac{12}{16}[/tex]
To find:
The simplified form of the given value and then find the equivalent fraction that has a denominator of 32.
Solution:
We have,
[tex]\dfrac{12}{16}[/tex]
It can be written as:
[tex]=\dfrac{3\times 4}{4\times 4}[/tex]
Cancel out the common factors.
[tex]=\dfrac{3}{4}[/tex]
Therefore, the simplified form of the given fraction is [tex]\dfrac{3}{4}[/tex].
Multiply numerator and denominator by 8 to find the equivalent fraction that has a denominator of 32.
[tex]\dfrac{3\times 8}{4\times 8}=\dfrac{24}{32}[/tex]
Therefore, the equivalent fraction that has a denominator of 32 is [tex]\dfrac{24}{32}[/tex].
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Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle graph.
How many people prefer banana?
Enter your answer in the box.
A pie chart displaying favorite flavors of frozen yogurt. Chocolate is at 36 percent, strawberry is at 18 percent, vanilla is at 22 percent, banana is at 4 percent, and peanut butter is at 20 percent.
20% peanut butter
4% banana
22% vanilla
18% strawberry
36% chocolate
WORTH 50 POINTS!!! PLS HELP ME!
Answer: the answer is 25 people
Step-by-step explanation:
To determine how many people prefer banana-flavored frozen yogurt, calculate 4% of the 50 people surveyed. The calculation (4/100) × 50 results in 2 people preferring banana flavor.
Explanation:The student is asking how many people prefer banana flavor based on a pie chart that displays the percentage breakdown of favorite flavors of frozen yogurt. To find the number of people who prefer banana flavor, we need to calculate 4% of the 50 people surveyed because the pie chart indicates that banana flavor is preferred by 4% of the participants. Here's a step-by-step breakdown:
Identify the total number of people surveyed, which is 50.Determine the percentage of people who prefer banana, which is 4%.Calculate the number of people who prefer banana by taking 4% of 50: (4/100) × 50 = 2.Therefore, 2 people out of the 50 surveyed prefer banana frozen yogurt.
What is
[tex] - \frac {12}{80} [/tex]
as a decimal?
Answer:
12/80 as a decimal equals 0.15
Step-by-step explanation:
Answer: -0.15
Step-by-step explanation:
Get both sides on 100
12 + 12 * 1/4 = 15
80 + 80 * 1/4 = 100
-15/100 = -0.15
please help, i’ve been in apex and i don’t know what the answer is
Answer:
A
Step-by-step explanation:
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{7}{17.46}[/tex] ≈ 0.40 → A
whats the volume of the cylinder
I think it is 63cm3.
Answer:
63 cm³
Step-by-step explanation:
The linear ratio between the 2 cylinders = 1 : 4
The volume ratio = 1³ : 4³ = 1 : 64
Thus the volume is 64 times smaller than the large cylinder
volume = [tex]\frac{4032}{64}[/tex] = 63 cm³
I need to know what is 18% of 27 please help
Answer:
4.86
Step-by-step explanation:
27*.18=4.86
Answer:
4.86
Step-by-step explanation:
The decimal form of 18% is 0.18. Multiply that by 27 to get 18% of 27
27 x 0.18 = 4.86
Hope this helps!
Please give me brainliest answer! Thanks!
PLZ HELP
Ivan is doing an experiment with a number cube. About how many times should he expect to roll an even number on the number cube if he rolls it 600 times?
Answer:
300
Step-by-step explanation:
A number cube has total six possible outcomes:
1, 2, 3, 4, 5 and 6
Probability of the occurrence of each side is: 1/6
From the possible outcomes, the even number are 2,4,6
Therefore the probability of the occurrence of an even number is:
1/6 + 1/6 + 1/6
=> 3/6
=> 1/2
1/2 probability shows that if a number cube is rolled 'n' times, (1/2)*n number of chances are it is an even number.
So the expectation of rolling an even number with 600 trials is:
(1/2)*600
=> 300
Answer:
its numbers
Step-by-step explanation:
A _____ economy is based on personal choice. business command supply market
Answer:
The answer is "Market" economy
Answer:
A Market economy is based on personal choice.
Step-by-step explanation:
Edge 2021-2022
The length of a school hallway is 115 meters how many kilometers long is the hallway
Answer:
0.115 kilometers
Step-by-step explanation:
One kilometer is equal to 1,000 meters, so 115 meters is
115/1,000 kilometers, or 0.115 kilometers
What's 1-1 please help.
the answer to “1-1” is 0
Answer:
Yes. 1-1=0
Step-by-step explanation:
The steps are:
Step 1: Hold 1 finger up.
Step 2: Put that one finger down and that's what 1-1 is.
Hope this helps a LOT.
ectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation? (x, y) → (x + 5, y – 3) (x, y) → (x + 5, y + 3) (x, y) → (x – 3, y + 5) (x, y) → (x + 3, y + 5)
Answer: third option.
Step-by-step explanation:
By definition, translation is transformation in which you move the shape.
Then, you know that the rectangle on a coordinate plane is translated 5 units up and 3 units to the left.
Therefore, you must add 5 units to each y-coordinate and subtract 3 units to each x-coordinate.
So, keeping the above on mind, you can conclude that the rule that describe this translation is the shown below:
[tex](x,y)[/tex]→[tex](x-3,\ y+5)[/tex]
a bank loaned out $13,000 part of it at a rate of 8% per year and the rest at 16% per year. if the interest received in one year totaled $1500 how much was loaned at 8%.
Final answer:
To find out how much of the $13,000 was loaned at 8%, set up a system of equations based on the total amount of the loan and the total interest received. Solve the equations to find that $7,250 was loaned at an 8% interest rate.
Explanation:
The student is dealing with a problem related to the allocation of two different simple interest rates for portions of a loan. To find out how much was loaned at 8%, we set up two equations representing the amounts loaned at each rate and the total interest earned. Let's assume the amount loaned at 8% is x and the amount loaned at 16% is y. The following system of equations can be formed:
x + y = 13000 (total amount loaned)0.08x + 0.16y = 1500 (total interest earned)By solving this system of equations, we can determine the value of x and y.
The first step is to express y in terms of x from the first equation: y = 13000 - x. Next, we substitute this expression into the second equation: 0.08x + 0.16(13000 - x) = 1500. Simplifying this gives us 0.08x + 2080 - 0.16x = 1500, which further simplifies to -0.08x = -580. Dividing by -0.08, we find x = 7250. Therefore, $7,250 was loaned at 8%.
Kiara made a square blanket. she decided to add 1 foot of material to one side, then cut four inches off tfrom the adjacent side. the area of the resulting blanket is 960 square inches. find the area
The original blanket was a square with side 31 inches both in length and width. After adding 1 foot to one side, and subtracting 4 inches from the other, new dimensions are 43 inches and 27 inches, respectively. Thus, the new area of the blanket is 1161 square inches.
Explanation:To solve this problem, we first need to note that the area of a rectangle (which our blanket has now become) is the product of its length and width. Since Kiara's blanket was originally a square before she added 1 foot to one side (12 inches) and subtracted 4 inches from the adjacent side, the original side length was the square root of the given area, i.e., √960 inch² = 31 inch. So, one dimension after alteration is 31 inches + 12 inches = 43 inches, and the other (after cutting) is 31 inches - 4 inches = 27 inches. Therefore, the new area of the blanket is 43 inches x 27 inches which equals 1161 square inches.
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The area of the original blanket is 784² square inches
Let's denote the side length of the original square blanket as 'x' inches.
After adding 1 foot (12 inches) to one side, the length of that side becomes x + 12 inches.
After cutting 4 inches off from an adjacent side, the length of that side becomes x - 4 inches.
We are given that the area of the resulting blanket is 960 square inches. This can be expressed as:
(x + 12)(x - 4) = 960
Expanding the left side of the equation, we get:
x^2 + 8x - 48 = 960
Adding 48 to both sides of the equation, we get:
x^2 + 8x = 1008
Dividing both sides of the equation by x, we get:
x + 8 = 1008/x
Solving for x using a quadratic equation solver or by trying out different values, we find that x ≈ 28.
Therefore, the area of the original square blanket is:
x^2 = 28^2 = 784 square inches
Complete question
Kiara made a square baby blanket. She decided to add 1 foot of material to one side, then cut 4 inches of material off from an adjacent side. The area of the resulting blanket is 960 square inches. Find the area of the original blanket. A) 625in^2 amazed B) 676in^2 perplexed C) 729in^2 thrilled D) 784in^2 baffled
Lillian collects stickers. Of her collection, 5/12 are animals stickers. Of remainder, 5/14 are flower stickers. What fraction of her stickers are not animal or flower?
well, this is simple subtraction as it is! 12-5= 7 so 7 for animal. 14-5= 9 so 9 for flower. 9+7= 16! so your final answer is, 16.
Answer:
The fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]
Step-by-step explanation:
Topic: Fractions
Let A represent the fraction of stickers that are animals
Let S represent the remaining stickers including the flower stickers
Given
A = [tex]\frac{5}{12}[/tex]
To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.
Mathematically, A + S = 1;
By Substitution, A + S = 1 becomes
[tex]\frac{5}{12} + S = 1[/tex] ------ Collect like terms
[tex]S = 1 - \frac{5}{12}[/tex]
[tex]S = \frac{12 - 5}{12}[/tex]
[tex]S = \frac{7}{12}[/tex]
Hence, the fraction of her stickers that are not animal is [tex]\frac{7}{12}[/tex]
From the question, we have that [tex]\frac{5}{14}[/tex] of the remainder are flower stickers.
Let F = Flower Stickers
F = [tex]\frac{5}{14}[/tex] * S
F = [tex]\frac{5}{14}[/tex] * [tex]\frac{7}{12}[/tex]
F = [tex]\frac{5}{2}[/tex] * [tex]\frac{1}{12}[/tex]
F = [tex]\frac{5}{24}[/tex]
To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.
Mathematically, A + F + R= 1;
R = 1 - A - F
Where R represent the fraction of stickers that are not animal or flower
[tex]R = 1 - \frac{5}{12} - \frac{5}{24}[/tex]
[tex]R = \frac{24 - 10 - 5}{24}[/tex]
[tex]R = \frac{9}{24}[/tex]
Hence, the fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]
Please find the area of the shaded region.
here is the solution to the question
how many seconds are in 2 1/2
Answer:
if you mean minutes the answer is 150 seconds
Step-by-step explanation:
each minute is 60 seconds so 2 minutes is 120 and the half a minute is 30 seconds so 60+60+30=150
if you ment hours then the answer is 9000 seconds
2 and a half days= 216000
Answer: Depends
Step-by-step explanation: For minutes, it's 150 seconds. Every minute is 60 seconds, and 2.5*60 = 150. If you mean hours, then it's 9000 seconds. That equation would be [tex](60*60)*2.5[/tex]. If you mean milliseconds, then it would be 0.0025 seconds.
he initial number of views for a certain website was 15. The number of views is growing exponentially at a rate of 22% per week. What is the number of views expected to be four weeks from now? Round to the nearest whole number. Enter your answer in the box.
Answer:
27 views
Step-by-step explanation:
Week 1: 15 views
Week 2: 15 x 1.22 = 18.3 views
Week 3: 18.3 x 1.22 = 22.326 views
Week 4: 22.326 x 1.22 = 27.24 views
What is the general form of the equation of a circle with the center at (-2,1) and passing through (-4,1)
Answer:
[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The general form of an equation of a circle:
[tex]x^2+y^2+Dx+Ey+F=0[/tex]
We have the center (-2, 1). Substitute to the equation in the standard form:
[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]
Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:
[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]
Therefore we have the equation:
[tex](x+2)^2+(y-1)^2=4[/tex]
Convert to the general form.
Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]
solve the picture, solve n
Answer: n = 63
Step-by-step explanation:
n ÷ 21 = 3
Do the opposite to find n!
3 × 21 = 63
So, to check our answer
63 ÷ 21 = 3
n = 3
:))
Answer:
[tex]21*\frac{n}{21} 3*21[/tex] ← Multiply both sides by 21[tex]n=63[/tex] ← Simplify----------------------------------
Answer:
n = 63Check by substituting the solutions back into [tex]\frac{n}{21} =3[/tex]
-------------------------------
hope it helps...
have a great day!!
Put the following fractions in order from least to greatest.
a. 7/3
b. 8/2
c. 2/1
d. 6/5
A) a, d, b, c
B) b, a, d, c
C) c, a, b, d
D) d, c, a, b
Pls answer fast!
I think the correct answer is C
Answer:
D) d,c,a,b
Step-by-step explanation:
To arrange the fractions in the order requested we have to express them to a common denominator . This is done by finding the Least common multiple of the denominators. Thus, the fractions,7/3, 8/2, 2/1,6/5, the L.C.M of the denominators is 30 thus lets divide the L.C.M by the denominator of each number then multiply with the numerator.
7/3=70/30
8/2=120/30
2/1=60/30
6/5=36/30
thus from the least to the largest we arrange them as follows 6/5, 2/1, 7/3 then 8/2