Answer:
(A) [tex]x=60^{\circ}[/tex]
Step-by-step explanation:
Given: It is given that the circle P is circumscribed about quadrilateral ABCD and ∠BCD=120°.
To find: The value of x
Solution: It is given that the circle P is circumscribed about quadrilateral ABCD and ∠BCD=120°.
Now, we know that the sum of opposite angles in a cyclic quadrilateral is 180°, therefore
[tex]{\angle}BAD+{\angle}BCD=180^{\circ}[/tex]
substituting the given values, we get
[tex]x+120^{\circ}=180^{\circ}[/tex]
[tex]x=60^{\circ}[/tex]
Thus, the value of x is 60°.
Hence, option A is correct.
Answer: 60
Step-by-step explanation:
DeSean throws a ball up with an initial vertical velocity of 30 ft/s from a platform that is at ground level. How long will the ball be in the air?
Answer:
Time, t = 1.875 seconds
Step-by-step explanation:
It is given that,
Initial velocity of the ball, u = 30 ft/s
DeSean throws a ball from a platform that is at ground level. The equation of motion when an object is thrown vertically upward is given by the following equation as :
[tex]h(t)=-16t^2+vt+h[/tex]
Here, h = 0 since, the ball is thrown up at the ground level. We have to determine the time when the ball be in air. The quadratic equation becomes :
[tex]-16t^2+30t+0=0[/tex]
t = 1.875 seconds
So, the ball be in air for 1.875 seconds. Hence, this is the required solution.
Do any of you know the answer to this
Answer: n< -4 , or Interval notation as ( -∞, -4 )
Step-by-step explanation:
* Hopefully the work below helps:) Mark me the brainliest:)!!
∞ 234483279c20∞
Answer:
n < -4 is equivalent to -n > 4Step-by-step explanation:
-n > 4 change the signs
n < -4
A bakery has 63 donuts and 36 muffins for sale. What is the ratio of muffins to donuts?
A.
4 to 1
B.
7 to 4
C.
1 to 4
D.
4 to 7
Answer:
D.) is the answer
Step-by-step explanation:
I know this because the ratio of muffins to donuts is 36:63 but simplified is 4:7
The ratio of muffins to donuts is 4:7 if the bakery has 63 donuts and 36 muffins for sale, option (D) 4 to 7 is correct.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Number of donuts = 63
Number of muffins = 36
The ratio of muffins to donuts:
36:63
4:7
Ratio is 4 to 7
Thus, the ratio of muffins to donuts is 4:7 if the bakery has 63 donuts and 36 muffins for sale option (D) 4 to 7 is correct.
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Which of these is an example of an employer using benefits to encourage employees to stay with their company
Answer:
maybe convince them for a higher pay rate
Step-by-step explanation:
Plz help me i need it
I'm sorry I'm not entirely sure. But I think -2 and 4. If it's not multiple choice I say -2.
Answer: 4
Step-by-step explanation:
Average rate of change is the slope between that interval
[tex]f(x) = x^2-3\\\\f(1)=1^2-3\\.\qquad =-2\\,\qquad (1, -2)\\\\f(3)=3^2-3\\.\qquad =6\\.\qquad =(3,6)\\\\slope=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\slope=\dfrac{6-(-2)}{3-1}=\dfrac{8}{2}=\large \boxed{4}[/tex]
Which expressions are equivalent to 8(-10x+3.5y-7) check all that apply
Answer:
-80x + 28y - 424(-20x + 7y - 14)Step-by-step explanation:
Use the distributive property a(b + c) = ab + ac:
8( -10x + 3.5y - 7)
= (8)(-10x) + (8)(3.5y) + (8)(-7)
= -80x + 28y - 42
8(-10x + 3.5y - 7)
= (4)(2)(-10x + 3.5y - 7)
= 4[(2)(-10x) + (2)(3.5y) + (2)(-7)]
= 4(-20x + 7y - 14)
The expression 8(-10x+3.5y-7) equivalent to -80x + 28y - 56.
How to solve an expression?Let the expression be
8(-10x + 3.5y - 7)
Simplifying the above equation as
[tex]$\ 8\left(-10 x+\frac{35}{10} y-7\right)$[/tex]
Multiplying the equation, then we get
[tex]$-80 x+8 \times \frac{35}{10} y-8 \times 7$[/tex]
[tex]$-80 x+4 \times \frac{35}{5} y-56$[/tex]
[tex]$-80 x+4 \times 7 y-56$[/tex]
- 80x + 28y - 56
Therefore, the correct answer is option (b) - 80x + 28y - 56.
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What is the measure of PQR
A.51
B.55
C.74
D.78
Please I really need help
the answer is B maybe
180- 51- 74
=55
Answer:
b
Step-by-step explanation:
Which of the following is the graph of y= x2 + 2x +1
Answer:
Step-by-step explanation:
you should show the graph
but
simplify it
Complete the series. 9 = 4, 21 = 9, 22 = 9, 24 = 10, 8 = 5, 7 = 5, 99 = 10, 100 = 7, 16 = ?, 17 =?
just simply count the number of letters in each number, that is to say:
NINE= 4 letters
TWENTY-ONE= 9 letters
so 16=7 since
SIXTEEN is 7 letters
and 17=9 since
SEVENTEEN is 9 letters
what graph shows the solution to the inequality p ≥ -1
The solution to the inequality [tex]\( p \geq -1 \)[/tex] represents all the values of p that are greater than or equal to -1.
To represent this on a graph, you would draw a number line with an open circle at -1 (since it's "greater than or equal to", not just "greater than"), and then shade to the right to indicate all values greater than -1.
The open circle at -1 indicates that -1 is not included in the solution, and the shaded area to the right indicates all values greater than -1.
1-sin^2x/sinx-cscx
How do I solve this problem? I keep getting the wrong answer.
Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
If a cone has a surface area of 822.78cm^2 and a diameter of 18cm, find the slant height of the cone
Answer:
[tex]20.11\ cm[/tex]
Step-by-step explanation:
we know that
The surface area of the cone is equal to
[tex]SA=\pi r^{2}+\pi rl[/tex]
where
r is the radius
l is the slant height
In this problem we have
[tex]SA=822.78\ cm^{2}[/tex]
[tex]r=18/2=9\ cm[/tex] -----> the radius is half the diameter
substitute and solve for l
[tex]822.78=\pi (9)^{2}+\pi (9)l[/tex]
[tex]822.78=81\pi +9\pi l[/tex]
[tex]l=(822.78-81\pi)/9\pi[/tex]
[tex]l=(822.78-81(3.14))/9(3.14)=20.11\ cm[/tex]
The slant height of the cone is approximately 20.1154 cm.
[tex]\[ \text{Surface Area} = \pi r (l + r) \][/tex]
where r is the radius of the base of the cone, and l is the slant height of the cone.
Given that the diameter of the cone is 18 cm, we can find the radius r by dividing the diameter by 2:
[tex]\[ r = \frac{diameter}{2} = \frac{18 \text{ cm}}{2} = 9 \text{ cm} \][/tex]
Now we can substitute the values we know into the surface area formula:
[tex]\[ 822.78 \text{ cm}^2 = \pi \times 9 \text{ cm} \times (l + 9 \text{ cm}) \][/tex]
To find l, we need to solve for l in the equation:
[tex]\[ 822.78 \text{ cm}^2 = 9 \pi \text{ cm} \times (l + 9 \text{ cm}) \] \[ \frac{822.78 \text{ cm}^2}{9 \pi \text{ cm}} = l + 9 \text{ cm} \] \[ \frac{822.78}{9 \pi} = l + 9 \] \[ l = \frac{822.78}{9 \pi} - 9 \][/tex]
Now we calculate the value of l:
[tex]\[ l = \frac{822.78}{9 \times \pi} - 9 \] \[ l = \frac{822.78}{28.27433388} - 9 \] \[ l \approx 29.1154 - 9 \] \[ l \approx 20.1154 \text{ cm} \][/tex]
how much larger is 8,000,000 than 200 ?
Answer:
7,999,800
Step-by-step explanation:
8,000,000 minus 200 = answer
The number of painters, p, employed to paint a building is inversely proportional to the time taken to paint the building, b. Which equation best models the number of painters required to finish the painting?
Answer:
Option B. [tex]p=k/b[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
Let
p-----> the number of painters
b----> the time taken to paint the building
we know that
[tex]p*b=k[/tex]
so
[tex]p=k/b[/tex]
Answer:
B. [tex]p=\frac{k}{b}[/tex]
Step-by-step explanation:
Given,
The number of painters, p, employed to paint a building is inversely proportional to the time taken to paint the building, b
[tex]\implies p\propto \frac{1}{b}[/tex]
[tex]\implies p=\frac{k}{b}[/tex]
Where, k is the constant of proportionality,
Hence, the required equation that models the relation between p and b is,
[tex]p=\frac{k}{b}[/tex]
Option 'B' is correct.
Please help me!
Write y = x2 + 2x + 5 in vertex form.
y = (x – 1)2 + 5
y = (x + 1)2 + 5
y = (x + 1)2 + 4
y = (x – 1)2 + 4
Answer:
the answer is
y=(x+1)2+4
Which equation represents a circle with a center at -3,-5 and a radius of 5
Answer: [tex](x+3)^2+(y+5)^2=25[/tex]
Step-by-step explanation:
The equation of the in center-radius form is the shown below:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where the center is at the point (h,k) and r is the radius of the circle.
Based on the information given in the problem, the center of the circle is at the point (-3,-5) and a radius of the circle is 5, then, you must substitute values into the equation shown above.
Therefore, you obtain the following equation:
[tex](x-(-3))^2+(y-(-5))^2=(5)^2[/tex]
[tex](x+3)^2+(y+5)^2=25[/tex]
Find the surface area of the rectangular prism.
Answer:
130 ft^2
Step-by-step explanation:
SA= surface area
SA= 2*l*w + 2*l*h + 2*w*h
l= length = 10
w= width =5
h = height = 1
SA= 2*l*w + 2*l*h + 2*w*h
SA= 2*10*5 +2*10*1+2*5*1
SA= 100+20+10
SA= 130 ft^2
The trainers you bought came in a cuboid shaped box. Which of the following is a net of a cuboid?
Here's what a net of a cuboid looks like if that was what you were asking.
Final answer:
The question involves identifying a net for a cuboid, which is a two-dimensional arrangement of rectangles that can be folded into a three-dimensional box shape.
Explanation:
The subject of the question is identifying a net of a cuboid. A net is a two-dimensional shape that can be folded to form a three-dimensional object. In the case of a cuboid, its net consists of 6 rectangles that correspond to the faces of the cuboid: top, bottom, front, back, and two sides. To create a net, you would draw these 6 rectangles in such an arrangement that when the edges are folded up, they would form the sides of a cuboid. The question requires understanding of basic geometry and how two-dimensional shapes can construct three-dimensional forms.
what asks no questions but must be answered
The riddle 'what asks no questions but must be answered' typically refers to a telephone or a doorbell, both of which signal when someone is attempting to communicate or get attention.
Explanation:The student's question, "what asks no questions but must be answered," is a type of riddle, which is a question or statement intentionally phrased to require ingenuity in ascertaining its answer. In this context, the answer to the riddle is typically the telephone or a doorbell, as both signal when someone is trying to get in contact or gain attention, and generally, one responds to them. Riddles can form part of the teaching in English, particularly when focusing on language play, word definitions, and understanding semantics. They can encourage students to pay attention to wording and to contemplate why certain expressions carry the meanings they do.
x/2 + 3/2 < 5/2 give solution
Start with
[tex]\dfrac{x}{2}+\dfrac{3}{2}<\dfrac{5}{2}[/tex]
Multiply the whole equation by 2. Since 2 is positive, we don't need to switch the inequality sign:
[tex]x+3<5[/tex]
Subtract 3 from both sides:
[tex]x<2[/tex]
the pair of variables x=–3, y=8 is the solution to the equation 5x+by=17. Find the coefficient b.
Answer:
Step-by-step explanation:
I think I have helped you before with this problem, substitute x and y with -3 and 8 respectively, so 5*(-3)+8b=17, -15+8b=17, 8b=32, divide both sides by 8 and you get b=4
What is the sum of -3 2/8 + 1/4
what is 6(2y+8)-2(3y-2)
The answer is 6y + 52.
What word is synonymous for take-home pay
Answer:
net pay
Step-by-step explanation:
"Net" refers to what you get to keep after taxes or any fees,
"Gross" is your total before taxes and fees
Answer: Take-Home Pay is the money a person has after paying off all the things that are forced, like taxes.
Step-by-step explanation: There is none. It's English.
(___)^2=(secx-1)(secx+1)
Answer:____
Answer:
tan
Step-by-step explanation:
(secx - 1)(secx + 1)
Remove parentheses = sec²x - 1
Use the identity: tan²x + 1 = sec²x = tan²x + 1 - 1
= tan²x
tan²x = (secx - 1)(secx + 1)
Answer: The required answer is tan x.
Step-by-step explanation: We are given to complete the following trigonometric identity :
[tex](\_\_\_\_\_)^2=(\sec x-1)(\sec x+1).[/tex]
We will be using the following identity from trigonometry to complete the given identity :
[tex]1+\tan^2\theta=\sec^2\theta\\\\\Rightarrow \sec^2\theta-1=\tan^2\theta~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Now, we have
[tex](\sec x-1)(\sec x+1)\\\\=\sec^2x-1\\\\=\tan^2x~~~~~~~~~~[\textup{from equation (i)}]\\\\=(\tan x)^2.[/tex]
Thus, the complete identity is
[tex](\tan x)^2=(\sec x-1)(\sec x+1).[/tex]
Thus, the required answer is tan x.
Consider the following geometric sequence -5, 10, -20, 40,..... if the recursive formula for the sequence above expressed in the form a(n)=b*c^n-1, determine the value of b and c.
The function y = -2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x ist the price of a hot dog (in dollars). Find and interpret the zeros of this function
Answer:
The answer in the procedure
Step-by-step explanation:
we know that
The zeros of the function are the values of x when the value of y is equal to zero
In this problem
The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero
we have
[tex]y=-2(x-3)^{2}+4[/tex]
using a graphing tool
The zeros of the function are
x=$1.59, x=$4.41
so
for these prices the daily profit are zero
see the attached figure
Helpppp!BASIC MATHhhh
How much we need for start-up supplies . . . . . $25
AFTER start-up supplies we want to have . . . $70
Total amount we need to get started . . . (25 + 70) = $95
Number of people contributing . . . (me + 4) = 5
Amount each person needs to kick in . . . (95/5) = $19
As your preliminary Accountant, please reserve me one dozen (13) bagels from the first batch you produce !
Consider the following figure. Which of the following statements are true?
A. 2 and 3 form a linear pair
B. 1 and 4 are supplementary angles
C. m1 + m2 + m 3 = 180
D. m3 + m4 = m1 + m2
E. 1 and 4 are vertical angles
The answer would be D and E
The following statements that are true: m1 + m2 + m 3 = 180 and 1 and 4 are vertical angles.
Statement A is false. Angles 2 and 3 are not adjacent to each other, so they do not form a linear pair.
Statement B is false. Supplementary angles add up to 180 degrees, but angles 1 and 4 do not add up to 180 degrees.
Statement C is true. The sum of the measures of the angles in a triangle is 180 degrees. Therefore, the sum of the measures of angles 1, 2, and 3 is 180 degrees.
Statement D is false. Angles 3 and 4 are not opposite each other, so they are not vertical angles.
Statement E is true. Vertical angles are opposite each other, and angles 1 and 4 are opposite each other. Therefore, angles 1 and 4 are vertical angles.
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When you don’t know the answer on a multiple choice questions, it is generally best to:
APEX
When you don’t know the answer on a multiple choice questions, it is generally best to use the process of elimination, make an educated guess, or use prior knowledge to increase your chances of getting the right answer.
Explanation:When you don’t know the answer on a multiple choice questions, it is generally best to:When you encounter a multiple choice question and you don't know the answer, there are a few strategies you can use to increase your chances of getting it right:
Process of elimination: Go through each answer choice and eliminate the ones that you know are incorrect. This reduces the options and increases your chances of guessing correctly.Guess strategically: If you can eliminate a few answer choices, make an educated guess based on the remaining options. For example, if you know that two answer choices are incorrect, your guess will have a 50% chance of being correct.Use prior knowledge: Sometimes, even if you don't know the answer, you can make an educated guess based on what you already know about the subject. Use any clues or information from the question stem to help guide your guess.Remember, when guessing on multiple choice questions, it's important to consider the context of the question and eliminate obvious incorrect choices before making your guess.
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