The diagram below shows ΔPQT; its altitude, which is segment PR ; and some of its measurements.

(a) What is mTPR? Show or explain how you got your answer.


For Parts (b), (c), and (d), write the exact answer in simplified radical form.


(b) What is the length, in inches, of segment PR? Explain your answer.


(c) What is the length, in inches, of segment TR? Explain your answer.


(d) What is the length, in inches, of segment PQ? Explain your answer.

Answer:

21

Step-by-step explanation:

It is given that y varies inversely with x.

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]       ...(i)

where, k is constant of proportionality.

It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.

[tex]-105=\dfrac{k}{-3}[/tex]

[tex]-105\times (-3)=k[/tex]

[tex]315=k[/tex]

Now,

[tex]y=\dfrac{315}{x}[/tex]

Substitute x=15 in the above equation.

[tex]y=\dfrac{315}{15}[/tex]

[tex]y=21[/tex]

Therefore, the value of y is 21 when x=15.

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

Answer:

The picture doesn't pop up.

Step-by-step explanation:

Answer:

120, -80, -90

Step-by-step explanation:

Use order of operations to solve each:

(10 − 6)3 ∙ 4(2) + (10 + 2)2

(4)3 x 4(2) + (12)2

12 x 8 + 24

96 + 24 = 120

(8 − 6)5 ∙ 2(-4) + (6 − 8)0

(2)5 x (-8) + (-2)0

10 x (-8) + 0 = -80

(5-2)-5 x 3(2) + (5+2)0

(3)-5 x 6 + (7)0

-15 x 6 + 0 = -90

Answer: Hi! I'd love to help you but I'd need to see the graph.

Step-by-step explanation: Can you add a picture?

Answer:

1, 2, 3, and so on are natural numbers.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

image attached!

Answer:

would be 4cm x 4 cm = 16 sq.cm. 6 surfaces of the cube would be 6 x 16 = 96 sq.cm. By definition, a cube has congruent sides. So, each side has an area   A = s^2.

Step-by-step explanation:

hope this helps

The total surface area of the cube is 96 square centimeters.

We have,

Given that each side of the cube measures 4 cm, the formula to calculate the surface area is:

Surface Area = 6 * (side length)²

Substituting the value of the side length,

Surface Area = 6 * (4 cm)²

Surface Area = 6 * 16 cm²

Surface Area = 96 cm²

Therefore,

The total surface area of the cube is 96 square centimeters.

Learn more about cubes here:

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The complete question:

"What is the total surface area of a cube with each side measuring 4 cm?"

Answer:

B

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

Next, we simplify the equation. a^2 + 25 = 169

Then we subtract 25 from 169. 169 - 25 = 144.

Lastly, we do the square root of 144 and we get 12 which is the missing side.

Answer: 12 miles

Step-by-step explanation:

Use Pythagorean Theorem to find the missing side.

a^2 + 5^2 = 13^2

a^2 + 25 = 169

subtract 25 from both sides

a^2 = 144

take the square root of both sides

a = 12

Answer:

I think it is (D) Pentagon

Answer:

x=8

Step-by-step explanation:

5x+8

5x8=40

x=40

Answer:

x = 25.6

Step-by-step explanation:

1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them

        48 * 2 = 96

Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.

2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.

360 - 96 = 264

264/2 = 132

3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.

5x + 8 = 132

5x = 128

x = 25.6

The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.

Answer:

th answer would be 92

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

150

- 58

____

  92

Answer:

I might be wrong but I think this is the answer 10460353203

Step-by-step explanation:

Answer:

[tex]3^{21}[/tex]

Step-by-step explanation:

We have [tex]3^9 * 3^6 * 3^6[/tex].

Use the Product Rule for exponents: [tex]a^x *a^y=a^{x+y}[/tex]

[tex]3^9*3^6*3^6 =3^{9+6+6} = 3^{21} \\\\\text {So: }\\\\\boxed {3^9*3^6*3^6 = 3^{21}}[/tex]

The answer is also 10460353203, but [tex]3^{21}[/tex] is the best way to express this.  

Brainilest Appreciated.

Answer:

The first one dividing the number by 100

Step-by-step explanation:

Answer:

7000

Step-by-step explanation:

21,000*(2/3)=14000

21,000-14,000=7000

Answer:

7,000 dollars

Step-by-step explanation:

21,000 divided by 3 is 7,000 = 1/3

So 2/3 = 7,000 x 2 = 14,000

To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000

Answer: the answer is B1/17

Step-by-step explanation:

Answer:

What i added is the correct answer

Step-by-step explanation:

Answer:

ehswFYDHSDDSHJVBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

B. i think?

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have

[tex]cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.[/tex]

Answer:

cot x=1

Step-by-step explanation:

got it right

Answer:27.7

Step-by-step explanation:

the formula for a cone is V=1/3πr*2h

it is 1/3 because a cone is one-third of a sphere.

you then put the information from the text in the formula and you get this

V=1/3x 3.14 (pi) x 2.1 to the power of 2 (radius is half of a diameter)x 6 (height)

then you get the answer 27.6948

round to the nearest 10th and you get

A. 27.7

Also, I took the test.

There are 27.77 in³ of frosting is in the bag.

The amount of space, measured in cubic units, that an object or substance occupies.

Given that, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches.

Volume of cone = ¹/₃πr²h

r = 4.2/2 = 2.1 in

h = 6 in

Volume = ¹/₃x2.1x2.1x6

= 27.77

Hence, the volume of the cone is 27.77 in³

For more references on the volume, click;

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Answer:

1.5 inches

Step-by-step explanation:

56.52/ 8 = 7.065

7.065 / pi =2.248859346

square root of 2.248859346 = 1.5

r = 1.5

Answer:

1.5 inches

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

1/2 fruit cocktail—>57

broiled sirloin—>240

baked potato—>145

442 is the total so yes

Answer:

x+2

Step-by-step explanation:

6x2 + 30x+ 36

Factor out the greatest common factor

6 (x^2 +5x+6)

Factor inside the parentheses

That 2 numbers multiply to 6 and add to 5

2*3 = 6

2+3 = 5

6(x+3)(x+2)

Answer:

a

Step-by-step explanation:

i think it is a

but I am not sure

Answer:

y = [tex]e^{x}[/tex]

Answer:

12 because if you add 6 and 12

Step-by-step explanation:

hope it helps uou !!

Answer:

It's 12

Step-by-step explanation:

hope it helps you !!

Answer:

The Disney Epcot Center food court had 485 visitors on the first day

Step-by-step explanation:

Let's answer the question correctly, this way:

Number of visitors today = 1,940 and 400% of the visitors on the first  day

How many visitors did they have on the first day?

Let's use the Rule of Three Simple, this way:

x = Number of visitors to the center food court on the first  day

Number of visitors     Percentage

1,940                               400%

 x                                    100%

400 * x = 1,940 * 100

x = 194,000/400

x = 1,940/4 = 485

The center food court had 485 visitors on the first day

Step-by-step explanation:

Answer:

odd

Step-by-step explanation:

Answer:

yes, because the probability of choosing an odd number is equal to the probability of choosing an odd number given that the slip is yellowStep-by-step explanation:

EDGEEE 2022

Answer:

Area of rhombus = 24 m²

Step-by-step explanation:

Diagonal of rhombus is given as:

[tex] D_{1} [/tex] = 6 m

[tex] D_{2} [/tex] = 8 m

[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 \times 8}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24 {m}^{2} [/tex]