The triangular base of the given prism has an interior angle with a measure of 80° and an interior angle with a measure of 55°. What is the measure of the unknown angle?


A. 45°
B. 65°
C. 75°
D. 85°

Answer:

Step-by-step explanation:

2(x+7)^2 =98  

(x+7)^2 = 49  (divide both sides by 2)

(x +7) = [tex]\sqrt{49}[/tex]  (square root both sides)

x + 7 = 7  ( we are not sure if this is  -7 or  +7, because either would work )

so we have two solutions now

x +7 = -7     or      x +7 = 7

x = -7 -7      or      x =7 -7    (subtract 7 from both sides)

x = - 14        or      x = 0  

Answer:

[tex]\sqrt{117}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem by cutting rectangle ABCD diagonally.

6^2+9^2=(AC)^2

117=(AC)^2

So the length of AC is [tex]\sqrt{117}[/tex]

Answer:

x = 66

Step-by-step explanation:

the triangle has 2 congruent sides and is therefore isosceles with the 2 base angles being congruent, then

x = 66

The measure of the indicated angle is 66 degree.

An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:

We have a Triangle.

Then, using Isosceles Triangle Theorem

Angles opposite an isosceles triangle's equal sides are also equal.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.

So, x= 66 degree.

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Answer:

A: 8.4

Step-by-step explanation:

Order of operations: BEDMAS. Brackets, exponents, division, multiplication, addition, and substraction.

Using this you need to do 2(1.2) first.

2(1.2)=2.4

Then 4.5-2.4=2.1

Then finally 4(2.1)=8.4

Hope that helps

please give brainliest

Answer:

pretty sure it's 8.4 don't come at me if it's not

Step-by-step explanation:

-2(2.1) = -2.4

4(4.5-2.4) = 4(2.1)

4(2.1) = 8.4

ok this took a while But ...The first term is,  x2  its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  +148

Step-1 : Multiply the coefficient of the first term by the constant   1 • 148 = 148

Step-2 : Find two factors of  148  whose sum equals the coefficient of the middle term, which is   2 .

pls let me be right

in your calculator, type in 18.25/6.

Answer: 230.4 feet

Step-by-step explanation:

arc length = circumfrance x fraction of a circle

                 = [tex]2\pi r[/tex] x [tex]\frac{165}{360}[/tex]

                 = [tex]\frac{2*\pi *80*165 }{360}[/tex]

                 = 230.4 feet to nearest tenth

The length of the intercepted arc between those two cars on the Ferris wheel is 230.4 feet. This is obtained by using the arc length formula in degrees.

The distance across the curved length is said to be arc length.

The arc length is calculated by using the formula:

arc length = circumference × fraction of circle

⇒ arc length = 2πr × θ/360° when θ is given in degrees

where r is the radius.

Given that,

A Ferris wheel has a radius of r=80 feet

Two particular cars are located such that the central angle between them is 165° i.e., θ = 165°

arc length = 2πr × θ/360°

⇒ 2π×80×[tex]\frac{165}{360}[/tex]

⇒ 230.38 feet

Rounding off to the nearest tenth, we get arc length = 230.4 feet.

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Answer:

h = 15 ft

Step-by-step explanation:

the line from the vertex to the base is a perpendicular bisector.

then the radius r = 16 ÷ 2 = 8

using Pythagoras' identity in the right triangle formed

with hypotenuse = 17 and legs h and 8 , then

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take square root of both sides )

h = [tex]\sqrt{225}[/tex] = 15

Answer:

v=2144.66

Step-by-step explanation:

formula: 4/2 (pi) (r)³

................

Answer:

V = 2143.573333333333.... in³

Step-by-step explanation:

Formula for volume -> V = 4/3 πr³

We know the circumverence now we need to et the radius.

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius.

16pi/pi = 16/2 = 8

V=4/3πr³

V=4/3π8³ = 2143.5733333333333333333333333333333333333333333333333333333333333...

The profit which the manufacturer gained from the warranties is a. $105,430,050

Given that count 12% of 532,475:

532,475 - 100%

x - 12%

x= 63, 897.

This means that 63, 897 guitars were sold with a full-replacement warranty and 532,475-63,897=468,578 electric guitars were sold without a full-replacement warranty.

Hence, to find the gain of the manufacturer, $225·468,578

=$105,430,050 from the warranties.

Option A is correct: $105,430,050

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Answer:

b.

$66,772,365

Step-by-step explanation:

100% on EDGE

Answer:

Think about the following situations: speed limits on the highway, minimum payments on credit card bills, number of text messages you can send each month from your cell phone, and the amount of time it will take to get from home to school. All of these can be represented as mathematical inequalities.

Step-by-step explanation: Got this online hope it helps

Answer:

Below in bold.

Step-by-step explanation:

Mean = (98+92+90+78+83+88+95)/7

= 89.1   to nearest tenth.

Deviations:

98 - 89.1 = 8.9

92 - 89.1 = 2.9

90 - 89.1 = 0.9

78 - 89.1 = -11.1 = 11.1  (absolute value)

83 - 89.1 =  6.1

88-89.1 = 1.1

95 - 89.1 = 5.9

So the MAD

= (8.9+2.9+0.9+11.1+6.1+1.1+5.9)/7

= 36.9/7

= 5.27

= 5.3 to nearest tenth.

Answer:

this

Step-by-step explanation:

doesn't need any explanation

Answer:

It should be that since the -1 3/4 is negative and 4 1/2 is positive.

Answer:

26%

Step-by-step explanation:

To calculate the percentage score which you got right in your test,

Number of questions wrong/TOTAL number of questions * 100

6/23 * 100

= 26%.

Answer:

26%

Step-by-step explanation:

Hope I was able to help. Have an amazing day.

BTW- your profile pic is super adorable! :)

Answer:

A. 9y + 3 = 0

Step-by-step explanation:

To know if a function is linear without graphing it, check if the function is a polynomial of the first degree, because linear functions are polynomials of the first degree. This means that the power of the x-value should be equal to 1.

The only function without this trait is 9y + 3 = 0, so that is our nonlinear function.

hope this helps :)

Answer:

for 4 years: [tex]72,700 + 1.035^4(72,700)[/tex]

For n years: [tex]72,700 + 1.035^n(72,700)[/tex]

Step-by-step explanation:

Since each year the growth rate is 3.5 of the last year, n will represent the number of years.

[tex]72,700 + 1.035^n(72,700)[/tex]

Therefore since n is 4, the equation will be:

[tex]72,700 + 1.035^4(72,700) =72,700 + 1.15(72,700)[/tex]

Therefore this equation represents the town after four years.

Answer:

P=72,700(1+0.035)(1+0.035)(1+0.035)(1+0.035)

Step-by-step explanation:

Answer:

Step-by-step explanation:

c - 3 = 9.49

Answer:

1/4

Step-by-step explanation:

we can take two points on the line: (0,2) and (4,3)

to find slope:(2-3)/(0-4)

1/4

Answer:

19+4i

Step-by-step explanation:

Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

FOIL

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

Result of multiplication of complex numbers will be 19 + 4i

Given,

(3 + 2i)(5 – 2i)

Here,

Complex numbers standard form : x ± iy

Here,

x = real part

y = complex part.

i = iota = [tex]\sqrt{-1}[/tex]

So,

Multiplication :  (3 + 2i)(5 – 2i)

⇒15 -6i + 10i -4i²

Here,

i = √-1

i² = -1

So,

15 -6i + 10i -4i²

15 -6i + 10i - 4(-1)

⇒19 + 4i

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Answer:

b=3

Step-by-step explanation:

i subtracted 11 with the 26 and got 15 and then I divided the 5b with the 15 and got 3

Hope i helps<33

Answer:

b=3

Step-by-step explanation:

move the constant to the right-hand side and change its sign 5b = 26 - 11

subtract the numbers 5b = 15

divide both sides of the equation by 5 b = 3

Answer:

[tex]b.\:\: 524 \: {mm}^{3} [/tex]

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \pi \: {r}^{3} \\ \\ = \frac{4}{3} (3.1416) \: {(5)}^{3} \\ \\ = 523.6 \\ \\ \implies \: V_{sphere} \approx 524 \: {mm}^{3} [/tex]

Answer:

xy*(2x^2 + 7x^2 - y^2)

Step-by-step explanation:

You can get xy out of the expression since all have xy

Answer:

£113 and 603 miles.

Step-by-step explanation:

206 + 117 + 282 = 605 miles

45 + 68 = £113

£113 and 605 miles.

Answer:

70°f is the median temperature of the pond

Answer:

D. 314

Step-by-step explanation:

135.00 - 21.45 = 113.55

35,654.70 / 113.55 = 314

Answer:

x2 + y2

_____________

(x + y)2 • (x - y)

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Q) 26 ÷ {(-7)-(12 ÷ 2)} = ?

→ 26 ÷ {(-7)-(12 ÷ 2)}

→ 26 ÷ {-7-6}

→ 26 ÷ -13

→ -2 is the final answer.

Answer:

-2, -5, -8, -11, ... -14, -17

Step-by-step explanation:

-3 each time.

Answer:

252

Step-by-step explanation:

3*9 = 27

3*9 = 27

3*9 = 27

3*9 = 27

9*6 = 54

9*6 = 54

3*6 = 18

3*6 = 18

Add them all up