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madam [21]
3 years ago
8

Please help! I dont know this question.

Mathematics
2 answers:
Licemer1 [7]3 years ago
7 0

9514 1404 393

Answer:

  B.  14°

Step-by-step explanation:

An angle and its complement total 90°. If x is the measure of the complement of ∠DEF, then ...

  x + 76 = 90

  x = 90 -76 = 14

The complement of ∠DEF is 14°.

_____

<em>Additional comment</em>

An angle measure is never negative, so the complement of an angle will never be greater than 90°. Only one choice qualifies.

bija089 [108]3 years ago
3 0
C. Is the answer to your question
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At what rate per annum ci will RS 2000 amount to RS 2315.35 in 3 years
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<u>ANSWER: </u>

Rate per annum at which CI will amount from RS 2000 to RS 2315.35 in 3 years is 5%

<u>SOLUTION: </u>

Given,  

P = RS 2000

C.I = RS 2315.35

T = 3 years

We need to find the rate per annum. i.e. R = ?

We know that,  

When interest is compound Annually:

Amount $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{n}$

Where p = principal amount

r = rate of interest

n = number of years

$2315.35=2000 \times\left(1+\frac{R}{100}\right)^{3}$

$\left(1+\frac{R}{100}\right)^{3}=\frac{2315.35}{2000}$

$\left(1+\frac{R}{100}\right)^{3}=1.157$

$1+\frac{R}{100}=\sqrt[3]{1.157}$

$1+\frac{R}{100}=1.0500$

$\frac{R}{100}=1.05-1$

$\frac{R}{100}=0.05$

R = 5%

Hence, rate per annum is 5 percent.

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3 years ago
A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of
harkovskaia [24]
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Which equation represents a slope of −4 and y-intercept of (0,2)?
blsea [12.9K]

Answer:

y=-4x+2

Step-by-step explanation:

Hi there!

We want to find out which equation represents a line with a slope of -4 and a y intercept of (0,2)

The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We have everything we need to plug into the equation, let's just label the values to avoid confusion

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