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Svetradugi [14.3K]

3 years ago

15

What number makes the equation true? Enter the answer in the box

1 answer:

Reika [66]3 years ago

4 0

Answer:

6

Explanation:

8 x 6 = 48

48 ÷ 6 = 8

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Will spent 24 minutes putting together a model plane. Then he speant 48 minutes painting the model. How long did Will spend work

cricket20 [7]

Answer:72 minutes

Step-by-step explanation:

24+48=72

5 0

3 years ago

Anuta_ua [19.1K]

Answer

<u>2</u><u>.</u><u>5</u><u>6</u><u>m</u>⠀

Step by Step explanation:

⠀

Let AC be the 7 meters high Flagstaff

And BC be the tower

⠀

Let the height of BC = x

The height of AB will be (x + 7)m

⠀

∠ADB = 45° and ∠CDB = 15°

(as given in the question)

⠀

<u>By</u><u> </u><u>using</u><u> </u><u>trigonometry</u><u> </u><u>formula</u>

$\sf \tan(A) = \frac{perpendicular}{base}$

⠀

⠀

So tan 45 will be

$\sf \implies \tan45{ \degree} = \frac{AB}{BD} \\ \\ \sf \implies \tan45{ \degree} = \frac{x + 7}{BD} \\ \\ \sf \implies 1 = \frac{x + 7}{BD} \\ \\ \sf \implies BD = (x + 7)m$

⠀

⠀

And tan 15 will be

$\sf \implies \tan15{ \degree} = \frac{BC}{BD} \\ \\ \sf \implies \tan15{ \degree} = \frac{x}{BD} \\ \\ \sf \implies 0.2679 = \frac{x}{BD} \\ \\ \sf \implies BD = \frac{x}{0.2679} \\ \\ \sf \implies BD = 3.7327x$

⠀

⠀

Using both Values of BD to find x

⠀

$\sf x + 7 = 3.7327x \\ \\ \sf 7 = 2.7327x \\ \\ \sf \frac{7}{2.7327} = x \\ \\ \sf \boxed{2.56 = x}$

<u>The</u><u> </u><u>height</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>tower</u><u> </u><u>is</u><u> </u><u>2</u><u>.</u><u>5</u><u>6</u><u>m</u>

4 0

2 years ago

EASY MATH IF YOU CAN FIGURE IT OUT ILL GIVE YOU BRAINLEST AND THANKS AND THANKS TO ACCT AND 5 STAR RATINGS AND HELP U WITH ANY Q

Vikki [24]

Answer: b2 should be 5 i believe

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Bus A and Bus B leave the bus depot at 8 am.

meriva

bus A takes 25 mins

bus B takes 35 mins

start at 8am

to find =lcm of 25 and 35

LCM of 25 and 35

5 /__25,35

/__5,7

LCM=5×5×7

=175 mins=8hr+175mins=10:55am

4 0

3 years ago

A rectangular bedroom is 4 ft longer than it is wide. Its area is 252 ft2. What is the width of the room?

Ksenya-84 [330]

Answer:

14 ft

Step-by-step explanation:

Given:

Bedroom is 4 ft longer than it is wide.
Area is 252 ft².

Let x = width of the bedroom:

width = x ft
length = (x + 4) ft

Therefore:

$\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies 252 & = x(x+4)\\252 & = x^2+4x\\x^2+4x & = 252\end{aligned}$

To find the value(s) of x, complete the square.

Add the square of half the coefficient of the term in x to both sides:

$\implies x^2+4x+\left(\dfrac{4}{2}\right)^2=252+\left(\dfrac{4}{2}\right)^2$

$\implies x^2+4x+4=256$

<u>Factor</u> the perfect trinomial on the left side:

$\implies (x+2)^2=256$

<u>Square root</u> both sides:

$\implies x+2= \pm \sqrt{256}$

$\implies x+2= \pm 16$

Therefore:

$\implies x=-2+16=14$

$\implies x=-2-16=-18$

As width cannot be negative, the width of the room is 14 ft.

3 0

2 years ago