Answer:
41 Units
Step-by-step explanation:
You have to use Pitagora.
Diagonal (d) = √9²+40² = √1681 = 41
The length of a diagonal is 41 units.
Length of a diagonalUsing Pythagorean theorem formula
Diagonal (d) =√width²+length²
Let plug in the formula
Diagonal (d)=9²+40²
Diagonal (d) =81+1600
Diagonal (d)=√1681
Diagonal (d) =41 units
Inconclusion the length of a diagonal is 41 units.
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Factor completely 2x^2+4x-2
Answer:
2x^2+4x-2 = 2 * (x - 1 -[tex]\sqrt{2}[/tex]) * (x - 1 + [tex]\sqrt{2}[/tex])
Step-by-step explanation:
Factor completely 2x^2+4x-2
2x^2+4x-2 = 2* (x^2 + 2x - 1)
x = 1 + root( 4 - 4*(-1))/2
x = 1 + root(2)
and x = 1 - root(2)
Ok so I need to evaluate three questions without a calculator
a.) log2 32
b.) log7 1
c.) log5 625
I did them but can someone check my work(I didn’t put down answers yet)? I put:
a.) log2 32= log32/log2 =?
b.) log7 1= log1/log7 =?
c.) log5 625= log625/log5 =?
Step-by-step explanation:
log2 32= log32/log2= log 2^5/log2=5log2/log2=5 (log2=0.3)
log7 1= log1/log7= 0 (log1=0)
log5 625= log625/log5= log5^4/log5= 4log5/log5= 4 (log5=0.69)
Helppp plzz!! Will mark you as brainliest!! A semi–circle with points A and B is shown below.
When the semi–circle is rotated about the side AB, which of the following three–dimensional figures is created?
A. cone
B. cylinder
C. cube
D. sphere
What is the name of the federal agency that regulates the investment industry?
A. SEC
B. S&P 500
C. NYSE
D. Dow Jones
Answer:
sec
Step-by-step explanation:
The name of the federal agency that regulates the investment industry is SEC. Therefore, option A is the correct answer.
What is the federal agency?Federal agencies are specialized government institutions created for a particular function, such as resource management, financial regulation of specific sectors, or matters of national security. Although a presidential order may also be used to establish these organisations at first, legislative action is usually required to establish them.
The Securities and Exchange Commission (SEC) was founded as an independent federal agency by the Securities Exchange Act of 1934. The Securities and Exchange Commission (SEC) is one of the most wide and powerful bodies, enforcing Securities legislation in the United States controlling the bulk of the securities business. In addition to other electronic securities markets and enterprises, it oversees stock exchanges, options markets, and options exchanges in the United States. It also regulates financial advisers who are not governed by the government.
Therefore, option A is the correct answer.
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Which statements can be interpreted from the equation for a real estate value, V(t)=228,000(1.03)t where V(t) represents the value of the real estate and t represents the time in years?
Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –16t2 + 20t. After how many seconds does the ball return to the ground? Round to the hundredths place as needed. seconds
Answer:
The ball will return to the ground after 1.25 seconds
Step-by-step explanation:
Given
f(t) = -16t² + 20t
Required
After what time (in seconds) does the ball return to the ground?
Function f(t) is a function of time and it represents the displacement of the ball.
For the ball to return to the ground, it means the displacement is 0.
So, we have f(t) = 0.
Substitute 0 for f(t) in the above, we have
0 = -16t² + 20t ---- Factorize
0 = -4t(4t - 5) ---- Reorder
-4t(4t - 5) = 0
This above expression can be splitted to;
-4t = 0 or 4t - 5 = 0
For -4t = 0,
divide through by -4
This will give t = 0
For 4t - 5 = 0,
Collect like terms
4t = 5 + 0
4t = 5
Divide through by 4
t = 5/4
t = 1.25
So, we have that
t = 0 or t = 1.25
But t can't be 0 because the ball has already traveled some distance.
So, t = 1.25
Hence, the ball will return to the ground after 1.25 seconds
Answer:
its 1.25....
Step-by-step explanation:
on edge, thank me later
Helpp quickly please this is a test
Answer: 3
Step-by-step explanation:
How can a scientific investigation be an adventure?
Answer: Because you do many tasks and activities to find your goal/answer. Therefore, similar to an adventure hunt
Step-by-step explanation:
Please answer this question
Answer:
2.25KM
Step-by-step explanation:
The trapezoids are similar. The area of the smaller trapezoid is 709 m2. Find the area of the larger trapezoid to the nearest whole number.
Answer:
564 (57/24)2
= 564 · 5.64
= 3,181
Step-by-step explanation:
i think i dont know
Answer:
1479
Step-by-step explanation:
Help please quick it's for my grades
I think it is 14, I’m not sure tho
Find the slope of the line graphed. A) − 4 5 B) − 5 4 C) 4 5 D) 5 4
show a picture of the line please
Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid
Answer:
Whichever refrigerator has the HIGHEST temperature will make the hot liquid cool slower and whichever one has the LOWEST temperature will cool the hot liquid faster
Step-by-step explanation:
EXAMPLE: If one is 55 degrees and the other one is 5 degrees, the one that is 5 degrees will cool the hot liquid faster.
Answer:When Gianna placed the two cups in the refrigerators, the liquid placed in refrigerator A was WARMER than the liquid placed in refrigerator B.
The END BEHAVIOR of the two functions implies that refrigerator A is set to a HIGHER temperature than refrigerator B.
Step-by-step explanation:
trust me bro
Did these sales increase decrease stay the same or are they undetermined
From sea level, a submarine descends 40 feet per
minute. Where is the submarine in relation to sea level 5
minutes after it starts descending?
feet [Seleccionar
sea level
(Seleccionar ]
Answer:
200 ft below sea level
Step-by-step explanation:
40•5= 200
Joe saved most of his allowance every week since his 7th birthday.If joe saves $4 per week, how much money would he have on his 15th birthday?
Answer:
He will have $1,664 on his 15th birthday.
Step-by-step explanation:
If he is saving $4 per week for 8 years(15-7=8), and there are 52 weeks in a year, then 8x52=416 weeks. Then 416x4=1,664. Therefore, he will have $1248 dollars by his 15th birthday.
Answer:
1664 Hope this is right
Step-by-step explanation:
You first need to find how many weeks is in a year.
Then multiply how many weeks that are in a year 52 by amount of money per week 4.
You get 208
Before the last step you need to subtract 15-7=8
Multiply 208 times 8 and that's your answer
Which of the following possibilities will form a triangle?
A: Side = 15 cm, side = 7 cm, side = 7 cm
B:Side = 15 cm, side = 7 cm, side = 9 cm
C: Side = 14 cm, side = 6 cm, side = 7 cm
D:Side = 14 cm, side = 6 cm, side = 8 cm
Answer:
B
Step-by-step explanation:
A: 15+7>7
7+7<15
B: 15+7>9
15+9>7
7+9>15
Answer:
Answer:
B
Step-by-step explanation:
A: 15+7>7
7+7<15
B: 15+7>9
15+9>7
7+9>15
Which is the equation for the graph of the limacon curve below? [- 5, 5] by [- 5, 5) r=3-2sin theta r=2-3 sin theta r=2-2 sin theta r=4- sin theta
Answer:
D
Step-by-step explanation: On Edge
Answer:
A
Step-by-step explanation:
i know its late for the original post but for people coming after to get the answers its definitely A. i graphed it on desmos
Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis? 100 POINTS
A'(–5, –3)
B'(3, –2)
C'(–2, –2)
A'(–5, –3) B'(3, –2)
C'(2, 2)
A'(5, 3) B'(3, –2)
C'(2, 2)
A'(5, 3) B'(–3, 2)
C'(–2, –2)
Answer: Notice that since the line of reflection was the x-axis, the x-coordinate of each vertex stays the same and the y-coordinate of each vertex is the opposite of the original vertex, so in that case, the answer is
Option 4 or D.
Plz mark brainliest thxx
Answer:
its the 2nd one jarvis
Step-by-step explanation:
What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth
Answer:
The volume of the square pyramid is 766.3 in³ approximately.
Step-by-step explanation:
To find the volume of the square pyramid whose perimeter of the base is 44 in and a height of 19 in, we will follow the steps below:
Write down the formula for calculating volume of the square pyramid
v=A(h/3)
where v is the volume, A is the area of the base and h is the height.
From the question given, the perimeter of the base is 44.
If the perimeter of the base is 44, then we can say;
4l = 44
Dividing both-side by 4
l = 11
The length of the base = 11
Area of the base = l² =11² = 121 in²
Als from the question given, height is 19 in.
we can now proceed to plug in our values into the formula
v=A(h/3)
v = 121 (19/3)
v≈766.3 in³ to the nearest tenth.
Therefore, the volume of the square pyramid is 766.3 in³ approximately.
Find the exact value of cot( sin-'(-1)).
O A. Undefined
O B. O
O C. -1
O D. 1
The value of the trigonometric relation cot ( sin⁻¹ ( -1 ) ) = 0
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
A = cot ( sin⁻¹ ( -1 ) ) be equation (1)
On simplifying , we get
The value of ( sin⁻¹ ( -1 ) ) = -π/2
where sin (-θ) = -sin (θ)
So , A = cot ( -π/2 )
From the trigonometric relations ,
cot (-θ) = -cot (θ)
cot ( -π/2 ) = 0
Hence , the trigonometric relation is solved
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racer had a bag of marbles he had 7 blue marbles 5 green marbles 5 red marbles and 1 yellow marble whta is the probrability of choosing a blue marble? i need the answer in fraction pls
The probability of choosing a blue marble is 7/18.
To find the probability of choosing a blue marble, we use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
In this case, the number of favorable outcomes is 7 (because there are 7 blue marbles) and the total number of possible outcomes is 18 (because there are 7 blue marbles + 5 green marbles + 5 red marbles + 1 yellow marble). So the probability of choosing a blue marble is 7/18.
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PLEASE HELP FAST!
Dustin is the manager at the local coffee shop. He is trying to decide which of two employees should get a raise. Both are great with customers and are hard workers. Below are the number of hours of sick time (each month) that the employees have taken over the last year.
Maria: 2, 2, 1, 1, 3, 4, 8, 2, 1, 0, 2, 1
Paul: 6, 6, 2, 4, 6, 3, 8, 14, 8, 0, 3, 4
Based on the hours of sick time taken, who do you think should get the raise? Think about who is the more dependable employee. Support your answer with data!
Answer:
Maria
Step-by-step explanation:
If you add all the sick days, Paul is 64 and Maria is 27
find the length of the third side to the nearest 10th
Answer:
9.5
Step-by-step explanation:
Using the pythagorean theorem a^2+b^2=c^2, we can say that 3^2+b^2=10^2.
Simplify and you get 9+b^2=100. Subtract 9 from both sides and you get b^2=91. When you take the square root you get 9.53939... round to the nearest tenth and the missing side is 9.5.
The color of the light changes in the scenario because a volcano erupts. The light is the variable.
When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable.
The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.
What is Expression?An expression is combination of variables, numbers and operators.
Dependent variable is something that depends on other factors.
Independent variable is a variable that stands alone and isn't changed by the other variables you are trying to measure.
The color of the light changes in the scenario because a volcano erupts. The light is the independent variable.
When the color of the light changes, the number of light red walking beans will also change. The population of light red walking beans is therefore the dependent variable.
Hence, The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.
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Answer:
The color of the light changes in the scenario because a volcano erupts is independent variable and When the color of the light changes, the number of light red kidney beans will also change. The population of light red kidney beans is therefore the variable is dependent variable.
Step-by-step explanation:
Find the total paid on a $65,000 loan with 6% simple interest for 4 years
Answer:
**If the interest is by year then this should work
The interest is $15600 and the amount is $80600.
Step-by-step explanation:
Problem
You deposit $65000 into a bank account paying 6% simple interest per year. You left the money in for 4 years. Find the interest earned and the amount at the end of those 4 years?
Result:
The interest is $15600 and the amount is $80600.
convert 4600 centigrams to decagrams
Answer:
4.6 decagrams.
Step-by-step explanation:
If you multiply 4600 x .001 you get 4.6.
Feel free to let me know if you need more help. :)
Your math teacher asks you to calculate the height of the goal post on the football field. You and a partner gather the measurements shown. Find the height of the goal post, rounded to the nearest tenth of a foot.
Answer: The height of the goalpost is 41.6 feet (to the nearest tenth of a foot)
Step-by-step explanation: The figure shows an observer looking up at a goalpost at an angle of elevation of 61 degrees. The observer is 20 feet away from the base of the goalpost and he is standing 5.5 feet from the ground. This means the total height of the goalpost shall be an addition of the observer's height plus the calculated length of the portion of the goalpost as indicated by the right angled triangle.
We now have a right angled triangle, with one of the other two angles measuring 61 degrees and this shall be the reference angle. The side facing the reference angle is the opposite and is yet unknown. Also, the length from his position to the base of the goalpost is the adjacent (the side that lies between the right angle and one of the other two sides. To calculate the height,
Tan 61 = opposite/adjacent
Tan 61 = opposite/20
Tan 61 x 20 = opposite
1.8041 x 20 = opposite
36.082 = opposite.
Remember that the entire length of the goalpost includes the height of the observer (which is 5.5 ft). The height of the goalpost therefore is
Height = 5.5 + 36.082
Height = 41.582
The height of the goalpost rounded to the nearest tenth of a foot is
41.6 feet
The height of the goal post rounded to the nearest tenth is 41.6 ft
The situation forms a right angle triangle .
Properties of a right angled triangle:One of its angle is equals to 90 degreesThe sides and angle can be found using trigonometric ratios.The height of the goal post is the height of the person plus the height of the triangle formed.
Therefore, lets find the height of the triangle formed using trigonometric ratios,
tan 61° = opposite / adjacent
tan 61° = h / 20
cross multiply
h = 20 tan 61
h = 20 × 1.80404775527
h = 36.0809551054
Therefore,
height of the goal post = 36.0809551054 + 5.5 = 41.5809551054
height of the goal post ≈ 41.6 ft
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Find the equation of the line
use exact numbers
Answer:
b
Step-by-step explanation:
Does anyone knows this ?
Answer:
The answer to this question is B
Step-by-step explanation:
Answer:
I think its b) y=2x-3
Step-by-step explanation:
The answers are all in slope-intercept form: y= mx+b. In slope-intercept form m represents the slope and b represents the y-intercept. (Its confusing, I know).
The slope here is 2/1 or 2. Considering rise/run we can see that the line goes up (rise) two (2) points and over (run) one (1).
Now we have y= 2x+b, we just need the y-intercept.
Looking at the y-axis, the line crosses at (0, -3). So the y-intercept is -3!
That gives us y=2x-3
I really hope this helps