All categories

3 years ago

Select the correct answer from each drop down menu. In the figure, AB=inches and AC=_

Mathematics

2 answers:

BaLLatris [955]3 years ago

4 0

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. $cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}$

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

$tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x$

Using a calculator x would be about 8.4

inysia [295]3 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

41) Gabriella invests $8,193 in a retirement

nataly862011 [7]

Answer:

Option C. $\$34,252.67$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=18\ years\\ P=\$8,193\\ r=0.08\\n=6$

substitute in the formula above

$A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67$

4 0

3 years ago

Use Julia’s work and finish finding the areas of the faces what is the surface area of the rectangular pyramid

hoa [83]

Answer:

The surface area of the rectangular pyramid is $SA=109.50\ m^{2}$

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to the area of the rectangular base plus the area of the four triangular faces

$SA=(8)(5)+2[14.75]+2[\frac{1}{2}(8)(5)]$

$SA=40+29.50+40$

$SA=109.50\ m^{2}$

6 0

3 years ago

In the diagram below of regular pentagon ABCDE,<br> EB is drawn.<br><br> What is the measure of AEB?

Drupady [299]

Answer:

36°

Step-by-step explanation:

< EAB = 180 - (360/5) = 180-72=108°

so, < AEB = (180-108)/2 = 72/2 = 36°

6 0

2 years ago

-\frac{9x}{4}=27

IRISSAK [1]

$\bf \cfrac{-9x}{4}=27\implies \stackrel{\textit{cross multiplying}}{-9x=4(27)}\implies x=\cfrac{4(27)}{-9}\implies x=4\cdot \cfrac{27}{-9} \\\\\\ x=4\cdot -3\implies x=-12$

4 0

2 years ago

Mariain buys a dress that costs 32 dollars she pays 10 percent sales tax

jeyben [28]

Answer:

the total cost would be $45.2

8 0

3 years ago

Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___

Select the correct answer from each drop down menu. In the figure, AB=inches and AC=_