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valentina_108 [34]
3 years ago
6

The slope of a graphed line is equivalent to the rate of change in a real-world problem. What is the rate of change (slope) in t

his problem? Pia is saving money for college. She has already put $400 in a savings account. Her plan is to deposit $60 a month, through high school. She wants to save at least $3,000. *
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0
Equation:

60 times 50 = 3000
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The measure of < A is 45 degree
VashaNatasha [74]

We are given \triangle ABC \cong \triangle EFG

The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure

angle A = angle E

3x+20 = 5x-80

3x-5x = -80-20

-2x = -100

x = -100/(-2)

x = 50

Use this x value to find the measure of angle A

angle A = 3x+20

angle A = 3(50)+20

angle A = 150+20

angle A = 170 degrees

<h3>Therefore, the statement "the measure of angle A is 45 degrees" is <u>false</u>.</h3>
8 0
3 years ago
Answer for a cookie ;)
Anuta_ua [19.1K]

Answer:

no

Step-by-step explanation:

but i will still take the cookie

4 0
3 years ago
If using the method of completing the square to solve the quadratic equation
lara [203]

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

   note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

6 0
3 years ago
Read 2 more answers
Derive the formula for the area of a sector, and then use it to choose all that are correct.
Marina CMI [18]

Answer:

Part A) A_s=\frac{\pi r^{2}}{360^o}{\theta}

Part B) option 1,option 4

Step-by-step explanation:

Part A) Derive the formula for the area of a sector

we know that

The area of circle is equal to

A=\pi r^{2}

The area of circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector  A_s  by a central angle of ∅ degrees

\frac{\pi r^{2}}{360^o}=\frac{A_s}{\theta}

A_s=\frac{\pi r^{2}}{360^o}{\theta}

Part B) Verify each case

case 1) we have

radius = 5 cm

angle = 120°

area = 26.2 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(5)^{2}}{360^o}{120^o}

A_s=26.2\ cm^2

so

The given value of area is correct

case 2) we have

radius = 4 cm

angle = 105°

area = 16.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(4)^{2}}{360^o}{105^o}

A_s=14.7\ cm^2

so

The given value of area is not correct

case 3) we have

radius = 6 cm

angle = 85°

area = 23.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(6)^{2}}{360^o}{85^o}

A_s=26.7\ cm^2

so

The given value of area is not correct

case 4) we have

radius = 7

angle = 75°

area = 32.1 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(7)^{2}}{360^o}{75^o}

A_s=32.1\ cm^2

so

The given value of area is correct

5 0
3 years ago
3. Mary bought a pair of speakers for $400. The following year, her friend bought the same speakers for $310.
anyanavicka [17]

Answer:

c

Step-by-step explanation:

take 400 multiply by 77.5% = 310

7 0
3 years ago
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