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Firlakuza [10]
3 years ago
14

Write an equation for the description.

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Answer:

She needs $30.

Step-by-step explanation:

170 minus 140 is 30.

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If f(x)=x²-16 is continuous at x = -4, find f(-4).
True [87]

Answer:

0

Step-by-step explanation:

f(-4) means x = -4 so then plug -4 into the function.

y = -4²-16

y = 0

5 0
3 years ago
Read 2 more answers
A person is standing on a cliff that is 200ft above a body of water. The person looks down at an angle of depression of 42o at a
velikii [3]

Answer:

524.5 feet

Step-by-step explanation:

Given: Height of cliff= 200 ft

           Angle of depression at sail boat is 42°

           Angle of depression at yacht is 15°

Lets assume distance sailboat from the bottom of cliff is "d_1"

And assume distance yacht from the bottom of cliff is "d_2"

Now using tangent rule to solve it.

we know, tan\theta = \frac{opposite}{adjacent}

Distance sailboat from the bottom of cliff; tan 42= \frac{200}{d_1}

Using trignometry table to know the value of tan 42°

⇒0.90= \frac{200}{d_1}

cross multiplying both side.

⇒ d_1= \frac{200}{0.90} = 222.22 \approx 222

∴ Distance sailboat from the bottom of cliff (d_1)= 222 feet

Distance yatch from the bottom of cliff; tan 15= \frac{200}{d_2}

Using trignometry table to know the value of tan 15°

⇒0.2679= \frac{200}{d_2}

cross multiplying both side.

⇒ d_2= \frac{200}{0.2679} = 746.54 \approx 746.5

∴Distance yacht from the bottom of cliff (d_2)= 746.5 feet.

Next, finding the distance between sailboat and yacht.

Distance between sailboat and yacht = d_2-d_1

⇒ Distance between sailboat and yacht= 746.5-222= 524.5\ ft

∴ Distance between sailboat and yacht is 524.5 feet.

3 0
3 years ago
mary spends 40% of her monthly earnings on rent and 10% of the remaining amount on entertainment. If she spends $800 for rent, h
liraira [26]

Answer:

<em>$120</em>

Step-by-step explanation:

40% of the earnings is spent on rent.

The earnings is an unknown, so we call it x.

The rent is $800, so 40% of x equals $800.

40% * x = 800

0.4x = 800

x = 800/0.4

x = 2000

She earns $2000 per month.

After paying rent, the remaining amount is

$2000 - $800 = $1200

She spends 10% of the remaining amount on entertainment.

10% of $1200 = 10% * $1200 = 0.1 * $1200 = $120

5 0
3 years ago
Which of the following points is in the solution set of y &lt; x2 - 2x - 8?<br>(-2, -1)(0, -2)(4, 0)
ratelena [41]
Y < (x - 4)(x + 2)

so the critical points are -2 and 4
(-2,-1) will be in the solution

( 0,-2) will not 

(4,0) will not.
the answer is ((-2,-1)
5 0
3 years ago
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A bag of fruit weighs two point five kilograms. Write the weight in grams.
marissa [1.9K]

Answer: 2500 grams

Step-by-step explanation: 2.5 x 1000 = 2500

3 0
3 years ago
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