Use the volume formula to find the volume of the prism.




A. 21 cubic units B. 42 cubic units C. 27 cubic units D. 9 cubic units

Based on these results, probability that the next chew Hannah removes from the bag will be orange chew is  0.53.

Probability determines how likely it is that event would occur. The probability that an event would occur lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

The probability of picking an orange chew = 39 / 74 = 0.53

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Answer:

500

Step-By-Step Explanation:

200/50 = 4

4 * 17 = 68

68 / 2 = 34

34 x 5 = 170

170 / 17 = 10

10 x 50 = 500

The volume of two spheres are in the ratio 27:125. The ratio of their areas is 9:25

If the volume of two spheres are in the ratio 27:125, then the ratio of their areas is 9:25.

The ratio of the volumes of two spheres is equal to the ratio of the cubes of their radii.

Therefore, if the volume ratio is 27:125, the radius ratio would be the cube root of that, which is 3:5.

The surface area of a sphere is given by the formula A = 4πr², where A is the surface area and r is the radius.

Since the radius ratio is 3:5, the ratio of their surface areas would be (3/5)² : 1², which simplifies to 9:25.

Therefore, the ratio of the surface areas of the two spheres is 9:25.

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#SPJ2

Answer:

Both factors are positive, so the product will be positive.

Step-by-step explanation:

no option available here so I hope

(Both factors are positive, so the product will be positive.)

bcz 19 · 3 are positive factors nd there product will be also postive

[tex] \bold {19 \times 3 = 57}[/tex]

All the best!

Answer:

[tex]6y^2(3x^2-4x+6)[/tex]

Step-by-step explanation:

I'm assuming that you wanted us to factor the equation.

[tex]18x^2y^2 - 24xy^2+36y^2\\= 6y^2(3x^2-4x+6)[/tex]

The function within the parentheses doesn't factor anymore. Hope this is what you needed!

Answer:

14 degree

Step-by-step explanation:

First you will substrate 26 from 12 and the final result is 14

Answer:

i

Step-by-step explanation:

is this my question answer?

60m + 35 = c

hope that helps :)

The surface area of the right triangular prism is 270 sq ft

The total surface area of the prism is the  sum of all the area of its faces

For the two triangles

A = 2(0.5bh)

A = bh

A = 7 * 12 = 84 sq.ft

For the two rectangles

A = 2lw

A = 2(6*12)

A = 2 * 72 = 144 sq.ft

For the third triangle;
Area  6ft * 7ft

Area = 42 sq.feet

Taking the sum of the areas

TSA = 84 + 144 + 42

TSA  = 270 sq ft

Hence the surface area of the right triangular prism is 270 sq ft

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[tex]\\ \rm\rightarrowtail sin(405)[/tex]

[tex]\\ \rm\rightarrowtail sin(360+45)[/tex]

[tex]\\ \rm\rightarrowtail sin45[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{\sqrt{3}}[/tex]

#2

[tex]\\ \rm\rightarrowtail cot(390)[/tex]

[tex]\\ \rm\rightarrowtail cot(360+30)[/tex]

[tex]\\ \rm\rightarrowtail cot30[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}[/tex]

#3

[tex]\\ \rm\rightarrowtail cos(33\pi/4)[/tex]

[tex]\\ \rm\rightarrowtail cos(8\pi+\pi/4)[/tex]

[tex]\\ \rm\rightarrowtail cos\pi/4[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{\sqrt{2}}[/tex]

#4

[tex]\\ \rm\rightarrowtail sec(17\pi/4)[/tex]

[tex]\\ \rm\rightarrowtail sec(4\pi +\dfrac{\pi}{4})[/tex]

[tex]\\ \rm\rightarrowtail sec\dfrac{\pi}{4}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{2}[/tex]

Answer:

[tex]\sin(405)=\dfrac{\sqrt{2}}{2}[/tex]

[tex]\cot(390)=\sqrt{3}[/tex]

[tex]\cos\left(\dfrac{33}{4}\pi\right)=\dfrac{\sqrt{2}}{2}[/tex]

[tex]\sec\left(\dfrac{17}{4}\pi\right)=\sqrt{2}[/tex]

Step-by-step explanation:

Trig identities used:

[tex]\sin(A\pm B)=\sin A \cos B \pm \cos A \sin B[/tex]

[tex]\cos(A \pm B)=\cosA \cos B \mp \sin A \sin B[/tex]

[tex]\tan(A \pm B)=\dfrac{\tan A \pm \tan B}{1 \mp \tan A \tan B}[/tex]

[tex]\cot A=\dfrac{1}{\tan A}[/tex]

[tex]\sec A=\dfrac{1}{\cos A}[/tex]

Standard trig angles

[tex]\sin(0 \pm 360n)=\sin(0 \pm 2 \pi n)=0\\\\\cos(0 \pm 360n)=\cos(0 \pm 2 \pi n)=1\\\\\tan(0 \pm 180n)=0\\\\\sin(45 \pm 360n)=\sin(\frac14 \pi \pm 2\pi n)=\dfrac{\sqrt{2}}{2}\\\\\cos(45 \pm 360n)=\cos(\frac14 \pi \pm 2\pi n)=\dfrac{\sqrt{2}}{2}\\\\\tan(30 \pm 180n)=\dfrac{\sqrt{3}}{3}[/tex]

Question a

[tex]\sin (405) = \sin (360 + 45)[/tex]

             [tex]= \sin(360)\cos(45) + \cos(360)\sin(45)[/tex]

             [tex]=0 \cdot \dfrac{\sqrt{2}}{2}+1 \cdot \dfrac{\sqrt{2}}{2}[/tex]

             [tex]=\dfrac{\sqrt{2}}{2}[/tex]

Question b

[tex]\cot(390)=\dfrac{1}{\tan(390)}[/tex]

              [tex]=\dfrac{1}{\tan(360+30)}\\\\[/tex]

              [tex]=\dfrac{1-\tan(360) \tan(30)}{\tan(360)+\tan(30)}[/tex]

              [tex]=\dfrac{1-0 \cdot \frac{\sqrt{3}}{3}}{0+\frac{\sqrt{3}}{3}}[/tex]

              [tex]=\dfrac{1}{\frac{\sqrt{3}}{3}}[/tex]

              [tex]=\sqrt{3}[/tex]

Question c

[tex]\cos\left(\dfrac{33}{4}\pi\right)=\cos(8\pi+\frac14\pi)[/tex]

                  [tex]=\cos(8\pi)\cos(\frac14\pi)}-\sin(8\pi)\sin(\frac14\pi)}[/tex]

                  [tex]=1 \cdot \dfrac{\sqrt{2}}{2}-0 \cdot \dfrac{\sqrt{2}}{2}[/tex]

                  [tex]=\dfrac{\sqrt{2}}{2}[/tex]

Question d

[tex]\sec\left(\dfrac{17}{4}\pi\right)=\dfrac{1}{\cos(4\pi+\frac14\pi)}[/tex]

                 [tex]=\dfrac{1}{\cos(4\pi)\cos(\frac14\pi)-\sin(4\pi)\sin(\frac14\pi)}}[/tex]

                 [tex]=\dfrac{1}{1 \cdot \dfrac{\sqrt{2}}{2} -0 \cdot \dfrac{\sqrt{2}}{2}}[/tex]

                 [tex]=\dfrac{1}{\dfrac{\sqrt{2}}{2} }[/tex]

                 [tex]=\sqrt{2}[/tex]

Answer:

length = 20 cm

height = 15 cm

Step-by-step explanation:

Large Toy Box

Given:

Therefore, to calculate the length and height of the small toy box, multiply the length and height of the large toy box by one sixth:

[tex]\sf length=120 \times \dfrac16=\dfrac{120 \times 1}{6}=\dfrac{120}{6}=20 \ cm[/tex]

[tex]\sf height=90 \times \dfrac16=\dfrac{90 \times 1}{6}=\dfrac{90}{6}=15 \ cm[/tex]

Therefore,

Answer:

length = 20 cm , height = 15 cm

Step-by-step explanation:

calculate [tex]\frac{1}{6}[/tex] of the dimensions by dividing the large box dimensions by 6

length of small box = 120 cm ÷ 6 = 20 cm

height of small box = 90 ÷ 6 = 15 cm

Answer:

hypothesis is the answer for the fist blank

Step-by-step explanation:

Using it's concept, it is found that there is a [tex]p = \frac{9}{107}[/tex] probability that the next customer will pay with a debit card.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there were 39 + 9 + 59 = 107 purchases, of which 9 were paid with debid cards, hence:

[tex]p = \frac{9}{107}[/tex]

There is a [tex]p = \frac{9}{107}[/tex] probability that the next customer will pay with a debit card.

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Answer: 9/107

Step-by-step explanation:

Step-by-step explanation:

Answer:im not sure but i thinkk its like this

Step-by-step explanation:

You use the distributive property so

4. 16

5. 18

in numbre six you multuply 6x5 and 5x5 then you add it and its 55

6.55

7.6

8.39

9.17

Answer:

5-(1+5)= -1

 -2(1+4)=-10

Step-by-step explanation:

Answer:

x>16

Step-by-step explanation:

5-(x+5) cancels out to just x

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hope this helps

i took this test

h=20.4

Step-by-step explanation:

=> 7780.05 = 28.25 x 13.5 x h

multiply h by 13.5

=> 7780.05 = 28.25 x 13.5h

make h the subject of formula

=> 13.5h × 28.25 = 7780.05

Let's solve your equation step-by-step.

=> 13.5h(28.25)=7780.05

Step 1: Simplify both sides of the equation.

=> 381.375h=7780.05

Step 2: Divide both sides by 381.375.

=>[tex] \frac{381.375h}{381.375}= \frac{7780.05}{381.375}[/tex]

divide the numerators by the denominators

=> h=20.4

Answer:

He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.

The Factors (excluding 1) are;

2, 3, 4, 6, 9, 12, 18

Using these therefore he can divide them;

Answer:

The probability of selecting the color of ball that you just selected(a red ball) is [tex]P(r) =  \frac{2}{10}[/tex]

Step-by-step explanation:

From the question we are told that

  The total number of colored balls  is  n  =  10

   The number of red balls is r =  2 red

    The number of white ball is  w =  4

    The number of blue balls is  b  =  4

   The number of balls to be selected is  N  =  2 balls

    The cost of playing picking a ball is  c  =  $10

    The winnings is [tex]k =  \$ P(A)[/tex]

Here P(A) is the probability of obtaining the exact sequence of result  and from the question it  is  P(A) =  0.10

Generally my price according to the question is  

     [tex]k =  \frac{0.10 }{10}[/tex]

=>   [tex]k =  0.01 [/tex]

Let assume we selected a red ball

 Generally the probability of selecting a red ball is  mathematically represented as

       [tex]P(r) =  \frac{2}{10}[/tex]

Answer:

5.5

Step-by-step explanation:

Answer:

3 cups

Step-by-step explanation:

The same amount of each is needed if I read that correctly.

Answer:

C) 3 5/12

Step-by-step explanation:

Answer:

The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 ...

Answer:

See below

Step-by-step explanation:

Based on this info filling in the gaps

Answer:

Marissa Palmer owes $26.77

Step-by-step explanation:

       142.55

-          2.82

        56.22

        30.28

        80.00

____________

        -26.77

Answer:

-b

Step-by-step explanation:

❖ Step 1: Apply distributive property.

❖ Step 2: Combine like terms.

Therefore, the answer is -b.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

Mean = 6.8

Step-by-step explanation:

Given data set :-

{14, 7, 2, 8, 3}

To find :-

Mean

Solving :-

Take sum of given data and divide by number of data pieces.

=> 14 + 7 + 2 + 8 + 3 / 5

=> 34 / 5

=> 6.8

Solution :-

Mean = 6.8

Given set of data :

To find :

Solution :

[tex] \qquad \sf \to \: mean = \frac{sum \: of \: observations}{total \: no. \: of \: observations} [/tex]

[tex] \qquad \tt\longmapsto\: mean = \frac{14 + 7 + 2 + 8 + 3}{5}[/tex]

[tex] \qquad \tt\longmapsto\: mean = \frac{34}{5}[/tex]

[tex] \qquad \tt\longmapsto\: mean = 6.8[/tex]