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2 years ago

6

6A+5C=112.50 8A+4C=130

2 answers:

4vir4ik [10]2 years ago

6 0

Answer:

(C,A) = (15/2, 25/2)

Step-by-step explanation:

this seems to be this answer above !hope this helps !!!

muminat2 years ago

5 0

Answer:

Is there a follow-up question you forgot to add?

Step-by-step explanation:

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A pentagonal prism has a height of 9 feet, and each base edge is 3 feet. Find the volume. Round your answer to the nearest hundr

OLga [1]

Height of the pentagon = 9 ft

Edge of base = 3 ft

$area of pentagon = \frac{s^{2}n}{4 tan\left ( \frac{180}{n} \right )}$

s is the length of any side = 3

n is the number of sides = 5

tan is the tangent function calculated in degrees

$\\ \\\\area of pentagon = \frac{3^{2}(5)}{4 tan\left ( \frac{180}{5} \right )}\\\\\\area of pentagon = \frac{9(5)}{4 tan\left ( 36 \right )}\\\\area of pentagon = \frac{45}{4 ( 0.7265 )}\\\\area of pentagon = \frac{45}{2.906}\\\\area of pentagon = 15.4852$

Volume of the pentagon = area of base (height )

Volume of the pentagon = 15.4852 (9)

Volume of the pentagon = 139.366

Volume of the pentagon = 139.37 cu.ft

5 0

2 years ago

Read 2 more answers

Suppose that $2000 is invested at a rate of 2.6% , compounded semiannually. Assuming that no withdrawals are made, find the tota

EleoNora [17]

Answer:

$2,589.52

Step-by-step explanation:

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

We start with the compound interest formula above, where

A = future value

P = principal amount invested

r = annual rate of interest written as a decimal

n = number of times interest is compound per year

t = number of years

For this problem, we have

P = 2000

r = 0.026

n = 2

t = 10,

and we find A.

$A = $2000(1 + \dfrac{0.026}{2})^{2 \times 10}$

$A = $2589.52$

8 0

2 years ago

Read 2 more answers

Please help with this arc equation.

boyakko [2]

Answer:

Part 1) $arc\ AB=49^o$

Part 2) $arc\ ABC=204^o$

Part 3) $arc\ BAC=156^o$

Part 4) $arc\ ACB=311^o$

Step-by-step explanation:

Part 1) Find the measure of arc AB

we know that

$arc\ AB=m\angle AOB$ ----> by central angle

we have

$m\angle AOB=49^o$

therefore

$arc\ AB=49^o$

Part 2) Find the measure of arc ABC

we know that

The central angle of complete circle is equal to 360 degrees

so

$arc\ ABC=360^o-107^o-49^o=204^o$

Part 3) Find the measure of arc BAC

we know that

$arc\ BAC=arc\ BA+arc\ AC$ ----> by angle addition postulate

we have

$arc\ BA=49^o$ ---> by central angle

$arc\ AC=107^o$ ---> by central angle

so

$arc\ BAC=49^o+107^o=156^o$

Part 4) Find the measure of arc ACB

we know that

The central angle of complete circle is equal to 360 degrees

so

$arc\ ACB=360^o-arc\ AB$

substitute

$arc\ ACB=360^o-49^o=311^o$

4 0

2 years ago

Directions: (a) Identify the parent function and (b) describe the transformations.

Zepler [3.9K]

Parent function: y=2^x
Transformations:
Reflection over x-axis
Vertical stretch of 3
Right 1
Up7

5 0

2 years ago

WILL GIVE BRAINLIST NO LINKS Ursula has 3 line segments that are the same size. What kind of triangle can she make?

VLD [36.1K]

Answer:

Equilateral triangle

Step-by-step explanation:

Equalateral triangles has 3 60 degre angles, and 3 congruent sides

4 0

2 years ago