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Yakvenalex [24]
2 years ago
6

Name the marked angle in 2 different ways.

Mathematics
2 answers:
Ganezh [65]2 years ago
4 0

Answer:

Right angle, and angle IJK

Step-by-step explanation:

Yanka [14]2 years ago
3 0

Answer:

right angle and ijk

Step-by-step explanation:

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Marta invested $5, 425 in the stock market and earned 8.5% interest. How much money will Marta have in her account after one yea
Semenov [28]

Answer:

Future Value= $5,886.13

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,425

Number of periods (n)= 1 year

Interest rate (i)= 8.5% = 0.085

<u>To calculate the future value after one year, we need to use the following formula:</u>

<u></u>

FV= PV*(1+i)^n

FV= 5,425*(1.085^1)

FV= $5,886.13

6 0
3 years ago
Which shape listen below will result from cross section b?
Inessa05 [86]

Answer: Ellipse

This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.

5 0
2 years ago
A 2.5​ ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles
Deffense [45]

Answer:

15.71 ft

Step-by-step explanation:

Given that:

width of the circular track = 2.5ft

Suppose the radius of the inner circle is 57 ft since it is not given

Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft

The circumference of a circle = 2πr

For inner circle now, the circumference = 2 × π × 57 ft

For inner circle now, the circumference = 358.14 ft

For the outer circle, the circumference = 2 × π × 59.5 ft

For the outer circle, the circumference = 373.85 ft

The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one​ turn

∴

= ( 373.85 - 358.14 ) ft

= 15.71 ft

6 0
3 years ago
Solve for y.<br><br> –0.8y + 5.49 = –19.86 − 2.3y<br><br> y =
anastassius [24]

Answer:

y = -16.9

Step-by-step explanation:

<u>→Add 0.8y to both sides:</u>

-0.8y + 5.49 = -19.86 - 2.3y

5.49 = -19.86 - 1.5y

<u>→Add 19.86 to both sides:</u>

25.35 = -1.5y

<u>→Divide both sides by -1.5:</u>

-16.9 = y

8 0
3 years ago
Read 2 more answers
3. if kx² + 2x + k = -kx have equal roots, find the values of k.<br>​
crimeas [40]

Answer:

k = - \frac{2}{3} , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

kx² + 2x + k = - kx ( add kx to both sides )

kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - \frac{2}{3}

k - 2 = 0 ⇒ k = 2

5 0
3 years ago
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