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Genrish500 [490]
3 years ago
6

Help plz...................................

Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer:

12

Step-by-step explanation:

These are similar triangles, so the ratio of their sides is the same for each side.

AB = 8  and  BD = 10

So, the ratio is 8:10   or   4:5

Because the triangles are similar....

The ratio of AC:CE  is also  4:5

12:15 = 4:5

So, 12 is the answer!

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Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balanc
Andrei [34K]

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=\frac{P×T×R}{100} =$ \frac{850×8×8}{100} =$544

so

Total balance=S.I.+P=$544+$850=$1394.

<u>option b.$1,394.00 is your answer</u>

6 0
3 years ago
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac
valentinak56 [21]

Answer:

tan(θ) = 0, 0.577, -0.577

Step-by-step explanation:

3tan³(θ) - tan(θ) = 0

tan(θ)(3tan²(θ) - 1) = 0

tan(θ) = 0

tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)

tan(θ) = 0, sqrt(⅓), -sqrt(⅓)

tan(θ) = 0, 0.577, -0.577

To find θ values, domain is required

6 0
3 years ago
What are multiplying EXPONENTRAL terms with the same base which best explains how to simplify the expression
I am Lyosha [343]

Answer:

Adding the exponents

Step-by-step explanation:

Multiplying exponential terms with the same base

To multiply exponents with same base , we use exponential property

a^m \cdot a^m=a^{m+n}

When we multiply exponents with same base then we add the exponents

So, adding the exponents best explains to simplify the expression that has same base with exponents .

3 0
3 years ago
The wavelength of violet light is 4.0 x 10^−7 m. The wavelength of red light is 6.5 x 10^−7 m. How much longer is the wavelength
AnnyKZ [126]

Answer:

A 2.5 × 10^–7 m

Step-by-step explanation:

Given

wavelength of violet light = 4.0 x 10^−7 m.

The wavelength of red light = 6.5 x 10^−7 m

To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light

Difference in  wavelength of red light and violet light =

wavelength of red light -wavelength of violet light

                         = 6.5 x 10^−7 m - 4.0 x 10^−7 m

Difference in  wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m

Difference in  wavelength of red light and violet light =2.5 x 10^−7 m

Thus,

wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light

option A

8 0
2 years ago
HELP PLEASE!!!!!!! This is due tomorrow. 20 points for this.
gogolik [260]

Answer:

x=16.75 y=4.5

Step-by-step explanation:

first turn the first trapezoid sideways so the side that says 8 matches with the side that says 10. This is the proportion. 8:10. The bottom of the first trapezoid says x+2. This matches with the side that says 15. Because the side that says 15 is on the bigger trapezoid, multiply by ten. Then multiply the other trapezoid by 8. We get an equation that looks like. 8x+16=150 Simplify and 8x=134 divide and we get x=16.75. Do the same for the side with y. 8y-24=50. 8y=36 y=4.5. There you have it.

5 0
3 years ago
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