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4 years ago

What is the surface area of this right prism?

Mathematics

1 answer:

skad [1K]4 years ago

8 0

Answer: C - 600cm^2

Step-by-step explanation:

Area of one triangle:

(12)(5) ÷ 2 = 30

Area of two triangles:

30 x 2 = 60

Area of top rectangle:

Step 1: Figure out side length of triangle by using pythagorean:

√a^2 + b^2 = c

√(5)^2 + (12)^2 = c

√25 + 144 = c

√ 169 = c

13 = c

Step 2: Find area of top rectangle:

(18) x (13)

234

Find area of bottom rectangle:

(18) x (12)

216

Find area of back rectangle:

(18) x (5)

90

Add all the underlined numbers:

Area of two triangles + Area of top rectangle + Area of bottom rectangle + Area of back rectangle

60 + 234 + 216 + 90 = 600cm^2

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A fitness center currently has 320 members. Monthly memberships fees are $45. The manager of the fitness center has determined t

erma4kov [3.2K]

Answer:

The required equation :

$y=(320-10x)(45+5x)=14400+1150x-50x^2$

Step-by-step explanation:

Given : A fitness center currently has 320 members. Monthly memberships fees are $45. The manager of the fitness center has determined that each time the membership increases by $5, approximately 10 members leave and go to a different gym.

To write : A equation that can be used to find the revenue of the fitness center in dollars,y, after x price increases of $5.

Solution :

Revenue is defined by the amount or price during specific period.

Let x be the number of months,

y be the revenue of the fitness center.

The number of members in the fitness center is 320 but after increasing $5 10 members leave.

So, the total member after increment in x months are $320-10x$

Monthly memberships fees are $45.

The manager of the fitness center has determined that each time the membership increases by $5.

The price of monthly membership after increment is $45+5x$

So, The equation which gave the revenue of the fitness center is

$y=(320-10x)(45+5x)$

$y=14400+1600x-450x-50x^2$

$y=14400+1150x-50x^2$

7 0

3 years ago

A right triangle was rotated to create this figure. What is true about the axis of rotation

arsen [322]

Answer:

i need a graph

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

on the subway 8 out of 11 people are carrying a briefcase. Based on the information, if there are 700 people on the subway, then

user100 [1]

Answer:

About 191 people

Step-by-step explanation:

Given:

On the subway 8 out of 11 people are carrying a briefcase.

There are 700 people on the subway.

Question asked:

About how many people do not have a briefcase ?

Solution:

By applying unitary method:

Out of 11 people, number of people having briefcase = 8

Out of 1 , number of people having briefcase = $\frac{8}{11}$

Out of 700 people, number of people having briefcase = $\frac{8}{11} \times700\\$

= $\frac{5600}{11}$

Number of people not having briefcase = $700 -$ $\frac{5600}{11}$

= $\frac{7700-5600}{11}$

= $\frac{2100}{11}$ = $190.90$

Therefore, about 191 people do not have a briefcase on the subway.

4 0

3 years ago

Help please! detailed would be great!

Anvisha [2.4K]

The goal here is to lose all those denominators so we can solve for y. The common is found by first factoring everything that can be factored 2y-8 factors to 2(y-4) and y^2-16 factors to (y-4)(y+4). The GCF then we will use for cancellation of the denominators is 2(y-4)(y+4). The first term there, when multiplied by that GCF, will cancel with 2(y-4), leaving us with -8(y+4), no more denominator. Going to the next term, when we multiply by the GCF the cancellation happens with the (y+4) term leaving us with no denominator anymore and 2*5(y-4), which simplifies to 10(y-4). Last term. The cancellation happens with the (y+4)(y-4), leaving us with 2(7y+8). Putting all that together looks like this now: -8(y+4)=10(y-4)-[2(7y+8)]. Distributing gives us -8y-32=10y-40-[14y+16] which simplifies to -8y-32=10y-40-14y-16. We will combine like terms to get 0=4y-24. We can factor out the 4 to get 4(y-6)=0. Now of course 4 doesn't equal 0, but y - 6 = 0 and y = 6. Last choice above. There you go!

8 0

4 years ago

Can someone explain in detail how to do this? What is sin? What is cos?

Yuki888 [10]

Sin stands for Sine, and cos stands Cosine. Tan stands for Tangent.
sin 30 = 0.5
cos 30 = (√3)/2
cos 45 = (√2)/2
tan 45 = 1
tan 30 = (√3)/3
Yes, tan 60 = √3
Hope at least it helps you get the answers :)

5 0

4 years ago