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3 years ago

Could someone help me really quick!

Mathematics

2 answers:

vampirchik [111]3 years ago

8 0

A is the answer to the problem

NeX [460]3 years ago

5 0

The triangles are similar triangles, so the proportion of the corresponding sides are the same.

Make a comparison.
$\dfrac{\text{hypotenuse}}{\text{upright side}} = \dfrac{\text{hypotenuse}}{\text{upright side}}$

In this case, you can input the numbers as follows.
$\dfrac{x}{2}= \dfrac{54}{12}$

Solve for x
Move 2 to the right side, and 2 will be a numerator
x = $\dfrac{54(2)}{12}$
x = $\dfrac{108}{12}$
x = 9

The value of x is 9, the answer is first option

You might be interested in

Find the perimeter of a rectangle if one side is 3x and the other side is 6x.

dexar [7]

Answer:

18x

Step-by-step explanation:

2(3x+6x)

6 0

3 years ago

If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?

Mice21 [21]

Answer:

$172,984.44

Step-by-step explanation:

We can use the formula

$A = P(1 + \frac{r}{n})^{nt}$ to compute the final amount

Here P is the principal amount, the original deposit = $25,000

r is the annual interest rate = 6.5% = 0.065 in decimal

n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year

t is the number of time periods ie 30 years

A is the accrued amount ie principal + interest

Computing different components,

$nt = 4 \times 30 = 120$

$r/n = 0.065/4 = .01625$

$1 + r/n = 1.01625$

$(1 + r/n)^{nt} = 1.01625^{120}$

Therefore

$A = 25000 \times 1.0625^{120} = 172,984.44$

4 0

1 year ago

What is the following number in decimal form?

belka [17]

The correct answer is b

7 0

2 years ago

Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64

valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0

3 years ago

A right cylinder has a radius of 3 and a height of 12. What is its surface area?

Len [333]

Answer:

90π units²

Step-by-step explanation:

(refer to attached)

Total Surface are off a right cylinder = area of its ends + area of curved surface

Given radius, r = 3 units and height, h = 12 units

Area of 2 ends,

= Area of 2 circles

= 2 x πr²

= 2π (3²)

= 2π (9)

=18π units²

Area of curved surface,

= 2πrh

= 2π(3)(12)

= 72π units²

Hence,

Surface area = 18π + 72π = 90π units²

3 0

3 years ago