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2 years ago

Please help me with this question I will give brainliest thank you

Mathematics

1 answer:

sertanlavr [38]2 years ago

4 0

Answer:

$360in^2$ is your surface area

Step-by-step explanation:

I attached a picture on how to label the box.

The surface area is all the areas of the like shapes combined.

Since there are four like rectangles and two like squares it can be written like this:

$A=2l_1w_1+4l_2w_2$

(l1w1 can be used for the squares and l2w2 can be used for the rectangles).

Now it's a matter of plugging in values.

$A=2(6)(6)+4(12)(6)\\A=2(36)+4(72)\\A=72+288\\A=360in^2$

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What is the missing number? 5/8 =?/64 plz hury

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

5 / 8 = x / 64

5 / 8 x 64 = x / 64 x 64

5 x 8 = x

40 = x

I hope this helps :)

7 0

3 years ago

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Lupe and her friends spend $20 on hot dogs and popcorn at a

vodomira [7]

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

∴ x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

∴ 2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

∴ x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

∴ y = 5

∴ They buy 6 hotdogs and 5 popcorn

8 0

2 years ago

Find the number, if 0.7 of it is 42.

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

0.7x=42

42/0.7=60

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2 years ago

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How to solve a system of two linear equations:

antiseptic1488 [7]

Answer:

Step-by-step explanation:

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2 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

2 years ago