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lisabon 2012 [21]

3 years ago

10

In ΔFGH, g = 340 cm, f = 240 cm and ∠F=139°. Find all possible values of ∠G, to the nearest degree.

1 answer:

Anon25 [30]3 years ago

3 0

Answer:

No possible triangles

Step-by-step explanation:

Deltamath

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(8x – 20)-16 =10x+51

Lemur [1.5K]

When solving this equation, you get the answer as -43.5.

To solve, we simply need to collect like-terms and then rearrange to get x on one side and numbers on the other:

(8x - 20) - 16 = 10x + 51

8x - 36 = 10x + 51

- 8x

-36 = 2x + 51

- 51

-87 = 2x

÷ 2

-43.5 = x

I hope this helps!

6 0

3 years ago

Jamal is making two paintings using canvases that are similar rectangles. The length of the smaller canvas is 3 ft and the width

Alex787 [66]

Let's start with what we know:

Smaller canvas:
Length ( $L_{1}$ ) = 3ft
Width ( $W_{1}$ ) = 5ft

Larger canvas:
Length ( $L_{2}$ ) = ?
Width ( $W_{2}$ ) = 10ft

Since these are similar rectangles, we can cross-multiply to calculate the missing length. Here's that formula:

$\frac{ L_{1} }{ L_{2} } = \frac{ W_{1} }{ W_{2} }$
So let's plug it all in from above:

$\frac{ 3 }{ L_{2} } = \frac{ 5 }{ 10 }$
Now we cross multiply by multiplying the top-left by the bottom-right and vice versa:

$(3)(10) = (5)(L_{2})$
$30 = 5L_{2}$
Now divide each side by 5 to isolate $L_{2}$

$\frac{30}{5} = \frac{ 5L_{2}}{5}$
The 5s on the right cancel out, leaving us with:

$6 = L_{2}$

So the length of the larger canvas is 6 ft

4 0

3 years ago

Read 2 more answers

Solve the following dividend problem.

brilliants [131]

A.

To get dividend per share, we need to divide total dividend by total numbers of shares outstanding.

Dividend per share = $\frac{40,000}{50,000}=0.8$ dollars.

B.

Since per share you get $0.8, for 100 shares you will get $0.8*100=80$ dollars.

Also, that is $\frac{80}{40,000}*100=0.2$ percent of the total dividends.

ANSWER:

A. $0.8 per share

B. $80 (and that is 0.2% of total dividend)

7 0

3 years ago

Read 2 more answers

A shop has determined that the number of bottles of water they sell on a summer day is a function of the day’s high temperature,

Alik [6]

Answer:

$T=t+94$

Where T is the hight temperature and t is the day

Explanation:

The table shows that every day the<em> High temperature, T (degrees F) </em>increases 1 unit.

Then, this is a linear function with slope = 1ºF / day.

You can use the point-slope equation to determine the <em>function of the high temperature:</em>

Point-slope equation:

$y-y_1=m(x-x_1)$

Choose any point from the table and m = 1. I will use the first point (1,95)

m = 1

x₁ = 1

y₁ = 95

Substitute:

$y-95=1(x-1)\\\\y=x-1+95\\\\y=x+94$

Make the variables y = T, and x = t:

$T=t+94$

4 0

3 years ago

A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total di

vladimir1956 [14]

Answer:

<h3>20feet</h3>

Step-by-step explanation:

Initial height of the ball = 8feet

If it bounces 60% of its previous height, its new height will be;

60% of 8

= 60/100 * 8

= 480/100

= 4.8 ft

If it bounces 60% of its current distance, new height will be expressed as;

60% of 4.8

= 0.6 * 4.8

= 2.88

The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...

In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;

S∞ = a/1-r where;

a is the first term = 8

r is the common ratio

$r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6$

Substitute into the formula;

S∞ = a/1-r

S∞ = 8/1-0.6

S∞ = 8/0.4

S∞ = 20feet

Hence the total distance traveled by the ball is 20feet

8 0

3 years ago