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3 years ago

How do i get X? i cant quite figure it out

Mathematics

2 answers:

Sloan [31]3 years ago

7 0

Answer:

My answer came 78°

Step-by-step explanation:

First, B and C are alternate angles so,

71°= y (let) + 29°

Y= 42°

Then, X + 42 + 60 = 180°

X = 180 - 102

X = 78 °

Hope this helps. :)

omeli [17]3 years ago

3 0

Answer:

x is 90° I hope it will help you please follow me

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A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 wi

Elza [17]

Given:

A company wants to select 1 project from a set of 4 possible projects.

Consider the options are:

a. $X_1+X_2+X_3+X_4=1$

b. $X_1+X_2+X_3+X_4\leq 1$

c. $X_1+X_2+X_3+X_4\geq 1$

d. $X_1+X_2+X_3+X_4\geq 0$

To find:

The constraints that ensures only 1 will be selected.

Solution:

It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.

$X_1+X_2+X_3+X_4=1$

Therefore, the correct option is (a).

8 0

3 years ago

Circumference, radius, slant height, lateral area, and surface area are measurements of a cone. Given two of the measurements, f

USPshnik [31]

Answer:

LA = 21.7 ft²; C = 18.8 ft; h = 2.3 ft
h = 8 in; r = 7 in; SA = 330.1 in²

Step-by-step explanation:

Applicable relations are ...

C = 2πr . . . . . . . r = radius, C = circumference

LA = 1/2·Ch . . . . h = slant height, LA = lateral area

SA = πr² +LA . . . SA = total surface area

1. Given r and SA, we can find the other measures as ...

LA = SA -πr² = 50 ft² -π(3 ft)² ≈ 21.7 ft²

C = 2πr = 2π(3 ft) ≈ 18.8 ft

h = 2·LA/C ≈ 2·21.7 ft²/(18.8 ft) ≈ 2.3 ft

(Please note that for calculations using intermediate results, we used the full-precision values of those results, not the rounded ones. Rounding is always the last operation. Please note, too, that we have used a value for π sufficient to ensure accuracy in all the digits shown here.)

2. Given C and LA, we can find the other measures as ...

h = 2·LA/C = 2(176 in²)/(44 in) = 8 in

r = C/(2π) = (44 in)/(2π) ≈ 7.0 in

SA = LA +πr² = LA +rC/2 ≈ 176 in² +(7.0 in)(44 in)/2 ≈ 330.1 in²

4 0

3 years ago

1. You owe $2,348.62 on a credit card with an 8.75% APR. You pay $300.00 toward the card at the beginning of the month and anoth

satela [25.4K]

Part 1:

After payment of $300, remaining balance = $2,348.62 - $300 = $2,048.62.
Interest accrued is given by:

$I=Prt \\ \\ =2,048.62\times0.0875\times \frac{1}{12} \\ \\ =\$14.94$

Had it been $600 was paid, remaining balance = $2,348.62 - $600 = $1748.62. Interest accrued is given by:

$I=1,748.62\times0.0875\times \frac{1}{12} \\ \\ =$12.75$

Difference in interest accrued = $14.94 - $12.75 = $2.19

Part 2:

The present value of an annuity is given by:

$PV= \frac{P\left[1-\left(1+ \frac{r}{12} \right)^{-12n}\right]}{ \frac{r}{12} }$

Where PV is the amount to be repaid, P is the equal monthly payment, r is the annual interest rate and n is the number of years.

Thus,

$2348.62= \frac{600\left[1-\left(1+ \frac{0.0875}{12}\right)^{-12n}\right]}{\frac{0.0875}{12}} \\ \\ \Rightarrow 1-(1+0.007292)^{-12n}= \frac{2348.62\times0.0875}{12\times600} =0.028542 \\ \\ \Rightarrow(1.007292)^{-12n}=1-0.028542=0.971458 \\ \\ \Rightarrow \log(1.007292)^{-12n}=\log0.971458 \\ \\ \Rightarrow-12n\log1.007292=\log0.971458 \\ \\ \Rightarrow-12n= \frac{\log0.971458}{\log1.007292} =-3.985559 \\ \\ \Rightarrow n= \frac{-3.985559}{-12} =0.332130$

Therefore, the number of months it will take to pay of the debt is 3.99 months which is approximately 4 months.

6 0

3 years ago

Read 2 more answers

What is the value of x?<br> 10<br> 2x

Viktor [21]

Answer:

The only way of getting to 10 using 2x it should mean that x = 5

2 * 5 = 10

4 0

3 years ago

It is estimated that there are 828 motor vehicles in the US it is estimated that there are 828 Motor vehicles in the US for ever

coldgirl [10]

Answer:

314 million

Step-by-step explanation:

Given that :

Number of motor vehicle in the U.S for every 1000 people = 828

If the number of motor vehicle in the United States = 260 million

Then,

Let x = number of people Given number of vehicles = 260,000,000

1000 people = 828 vehicles

x = 260,000,000

828x = (260,000,000 * 1000)

828x = 260,000,000,000

x = 314009661. 835

x = 314 million (approx)

8 0

3 years ago