A company has $36,000 to hire a mathematician and his or her secretary. Out of respect for the mathematician's training, the mathematician will be paid $8000 more than the secretary. How much will each be paid

Answer:

58 degrees for Question 7, and 71 degrees for Question 8

Step-by-step explanation:

For question 7:

180 - 99 = 81

81 + 41 = 122

180 - 122 = 58

For Question 8:

142 / 2 = 71

Answer: 7) 58 degrees 8) 71 degrees

Step-by-step explanation:

7) 41 + x = 99 degrees (the two interior opposite angle is equal to the exterior angle)

subtract 41 on both sides

x = (99 - 41) degrees

x = 58 degrees

8) x + x = 142 degrees

2x = 142

divide 2 on both sides

x = 71 degrees

Answer:

UV = 4; VW = 7, UW ≈ 8.06

m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°

Step-by-step explanation:

Using the distance formula, find the length of UW⎯⎯⎯⎯⎯⎯⎯.

UW=(2−(−2))2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UW=(4)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

UW=16+49‾‾‾‾‾‾‾√

Simplify.

UW=65‾‾‾√

Use a calculator to approximate.

UW≈8.06

Therefore, UW≈8.06.

Using the distance formula, find the length of UV⎯⎯⎯⎯⎯⎯.

UV=(2−(−2))2+(−1−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UV=(4)2+(0)2‾‾‾‾‾‾‾‾‾‾√

Square.

UV=16+0‾‾‾‾‾‾√

Simplify.

UV=16‾‾‾√

Simplify.

UV=4

Therefore, UV=4.

Using the distance formula, find the length of VW⎯⎯⎯⎯⎯⎯.

VW=(2−2)2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

VW=(0)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

VW=0+49‾‾‾‾‾‾√

Simplify.

VW=49‾‾‾√

Simplify.

VW=7

Therefore, VW=7.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. The length of segment U V is 4 units. The length of segment V W is 7 units. The length of segment U W is 8.06 units.

Notice that UW2=UV2+VW2. So, by the Converse of the Pythagorean Theorem, △UVW is a right triangle.

Since VW⎯⎯⎯⎯⎯⎯ and UV⎯⎯⎯⎯⎯⎯ are perpendicular, m∠V=90°.

Therefore, m∠V=90°.

By the definition of tangent, tan∠U=VWUV.

Take the inverse tangent of both sides.

m∠U=tan−1(VWUV)

Substitute 7 for VW and 4 for UV.

m∠U=tan−1(74)

Use a calculator to calculate the inverse tangent.

The figure shows a calculator screen on which the inverse tangent of seven fourths is calculated. The result of the calculation is 60 point 2 5 5 1 1 8 7.

m∠U≈60°

Therefore, m∠U≈60°.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. Angle V is a right angle. Angle U measures 60 degrees.

The acute angles of a right triangle are complementary by the corollary of the Triangle Sum Theorem.

So, m∠U+m∠W=90°.

Substitute 60° for m∠U.

60°+m∠W≈90°

Subtract 60° from both sides.

m∠W≈90°−60°

Simplify.

m∠W≈30°

Therefore, m∠W≈30°.

Answer:

show the question

sorry

Step-by-step explanation:

plz follow me

Answer:

1) а 2)b

вот правильный ответ

Answer:

37 monedas de $5 y 15 monedas de $10

Step-by-step explanation:

37 x 5 = 185

15 x 10 = 150

185 + 150 = $335

Answer:

19$

Step-by-step explanation:

Let w represent the wholesale cost of the pants, or the price paid by the store

2w + 10 = 48 Subtract 10 from both sides.

2w = 38 Divide both sides by 2.

w = 19

Answer:

Since f(x) is a linear equation the graph of f(x) is a line with a slope of –3/4 and a yintercept of (0, 2). In looking at the graph, you can see that ...

Answer:

x=-19

Step-by-step explanation:

Answer:

6-x=13

6-13=x

x=6-13

x=-7

Answer: 3

Step-by-step explanation:

48 divided by 16 is 3

The number of pounds expected to use this month is 3 pounds.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

16 oz = 1 lb

Multiply 3 on both sides.

48 oz = 3 lb

Thus,

3 pounds of wood is in 48 oz.

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Answer:

C

Step-by-step explanation:

CLASSIC HORROR MOVIES

Answer:

y = -4/3x + 3

Step-by-step explanation:

Answer:

D. [tex]\sqrt{250}[/tex]

Step-by-step explanation:

First, use prime factorization of 250 to get [tex]\sqrt{2*5^3}[/tex]

Then apply the exponent rule, [tex]a^{b+c} =a^{b}*a^{c}[/tex]

=[tex]\sqrt{2*5^2*5} }[/tex]

Apply radical rule: [tex]\sqrt{ab}= \sqrt{a} \sqrt{b}, a\geq 0, b\geq 0[/tex]

=[tex]\sqrt{5^{2}} \sqrt{2*5}[/tex]

Apply radical rule: [tex]\sqrt{a^{2}} =a, a\geq 0[/tex]

=5[tex]\sqrt{2*5}[/tex]

=5[tex]\sqrt{10}[/tex]

Answer:

D. I did the math on my calculator

Answer:

Area = x2 +x - 30

Step-by-step explanation:

area = length x width

(x+6) (x-5) = x2 +6x -5x -30  =  x2 + x -30

Answer:

1061.32  you made a typo on G

Step-by-step explanation:

To find the distance travelled by the tire we need the circumference of it

The formula for circumference is 2πr we know pi is roughly 3.14 and the radius is 13

we plug the numbers in and get

2* 3.14* 13

6.28*13

81.64

81.64 is the circumference, now we simply just multiply 81.64 by 13 to get 1061.32

Im guessing number G was supposed to be 1061.32 instead of 10,613

Answer:

3.1415926

Step-by-step explanation:

3.1415926 * 1 = 3.1415926

Answer:

g4 bk.58i

Step-by-step explanation:

Answer:

+4 each time

Step-by-step explanation:

Answer: 5/4

Step-by-step explanation:

Answer:

≈ 7

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

316-10= 306

306 divided by 6 = 51

Answer:

Step-by-step explanation:

A. (1)

B. (4)

C. (2)

D. (5)

E. (3)

Answer:

They pitted France against Great Britain, the Holy Roman Empire, Prussia, Russia, and several other monarchies. They are divided in two periods: the War of the First Coalition (1792–97) and the War of the Second Coalition (1798–1802)

Step-by-step explanation:

Answer:

She has $5

Step-by-step explanation:

Step-by-step explanation:

step 1. LCD of 3/4 and 7/8 is 8.

Answer:

I. Exponential Growth. (1 ) t y C r. = +. Final. Amount. Initial. Amount. Rate of ... value increases by 7% each year. ... Step 1 Write the exponential growth function for this ... nearest hundredth. ... The population after 7 years will be approximately 38,783 people. ... Cesium-137 left from a 100 milligram sample after 180 year

Step-by-step explanation:

i think  its right  if not have  a  great  day

Answer:

9800

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

r = p-3 this is correct answer of this question

The equation  p=r+3 can be rearranged as r=p-3

Two or more expressions with an Equal sign is called as Equation.

The given equation is p=r+3

p equal to r plus r

Plus is the operator of addition and p and r are variables

Subtracting 3 from both sides, we get:

p - 3 = r + 3 - 3

Simplifying the right-hand side:

p - 3 = r

Therefore, r = p - 3.

Hence, the equation  p=r+3 can be rearranged as r=p-3

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The value of "p" will be "0.002".

According to the question,

By subtracting "0.25p" from both sides, we get

→ [tex]100+0.05p-0.25p=0.25p-0.25p[/tex]

                 [tex]100-0.2p=0[/tex]

                            [tex]100=0.2p[/tex]

                               [tex]p = \frac{0.2}{100}[/tex]

                                  [tex]= 0.002[/tex]

Thus the above approach is right.

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Volume= 4/3πr^3

r = 18m

Volume = 4/3*3.14*18^3

Volume = 4/3*3.14*5832

Volume= 24416.639999 m^3