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KengaRu [80]
2 years ago
10

16) Jenna is responsible for changing the broken light bulb in a streetlamp. The streetlamp is 14 feet high. Jenna places the ba

se of her ladder 3 feet from the base of the streetlamp. Jenna can extend the ladder from 10 feet to 14 feet. How long must her ladder be to reach the top of the streetlamp? Will her ladder work?​
Mathematics
2 answers:
leva [86]2 years ago
3 0

Use the Pythagorean theorem:

Height is 14, base is 3, so we can calculate the length required.

Length = sqrt(14^2 + 3^2)

Length = sqrt( 196 + 9)

Length = sqrt(205)

Length = 14.32 feet.

The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.

Allisa [31]2 years ago
3 0

Answer:

14.32 is ur awnser

Step-by-step explanation:

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245,600,000,000 in scientific notation
vekshin1

Answer:

2.456  x 10^11

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

4 0
3 years ago
Please help me :)) algebra 2! what are the real roots?
irina1246 [14]

Answer:

A

Step-by-step explanation:

So we have the equation:

3(x-4)^\frac{4}{3}+16=64

First, let's subtract 16 from both sides:

3(x-4)^\frac{4}{3}=48

Now, let's divide both sides by 3:

(x-4)^\frac{4}{3}=16

Remember that with fractional exponents, we can move the denominator into the root position. Therefore:

(\sqrt[3]{x-4})^4=16

Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!

\sqrt[3]{x-4} =\pm 2

Cube both sides. Since we're cubing, the plus-minus stays.

x-4=\pm 8

Add 4 to both sides.

x=\pm 8+4

Calculator:

x=8+4\text{ or } x=-8+4\\x=12\text{ or } x=-4

So, our answer is A.

And we're done!

7 0
3 years ago
Plz help asap !!! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a tri
coldgirl [10]

Answer:

b. y=2x-200

c. there will be no profit because 2 times 100 = 200, meaning they only earned back the money they already spent.

d. (domain or y-values) minimum: -200 maximum: 320

(range or x-values) maximum: 260

3 0
2 years ago
-5x - 2y = 13<br> -4x + y = 0<br> Solve by substation
kotegsom [21]

Answer:

(x,y)=(-1,-4)

Step-by-step explanation:

-4x + y = 0

+4x         +4x

y=4x

-5x - 2y = 13

+5x          +5x

-2y = 5x+13

-2(4x) = 5x+13

-8x=5x+13

-5x -5x

-13x/-13=13/-13

x=-1

Thus:

y=4x

y=4(-1)

y=-4

5 0
3 years ago
F(4) if f(x) = 3x - 1
Romashka-Z-Leto [24]
beeeeeeeeeeeeeeep hope it helps
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3 years ago
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