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Fudgin [204]
3 years ago
9

The advertised size of a computer or television screen is actually the length of the diagonal of

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

37.5 cm

Step-by-step explanation:

See attached for reference.

let the diagonal be x,

By Pythagorean formula:

x² = (22.5)² + (30)²

x = √[(22.5)² + (30)²]

x = 37.5 cm

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What is the length of AD?
Setler [38]
We find the length of AD using the similarity of right triangle property. See image attached.

AD² = BD × CD
AD² = 9 × 36
AD² = 324
AD² = 18²
AD = 18

The length of AD is 18 units

7 0
3 years ago
Point Z is the incenter of ΔWXY.
Alekssandra [29.7K]

Answer:

2,4,5 for edg

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Lenny and Lisa have obtained a 30-year, fixed rate mortgage for $675,250 with a 7.25% interest rate. They purchased 3 points and
Vikentia [17]

Answer:

119 months

Step-by-step explanation:

In this question, we are asked to calculate the amount of time it would take for a break-even point on a mortgage, if there is a factoring in the cost of points.

We proceed to answer the;

Mathematically,

The Break Even Point = Amount Paid for purchasing Discount Points divided by Monthly savings in the interest payments

We lost out the important values given in the question as follows:

Amount of Mortgage - $675,250

Tenure - 30 Years

The Rate of interest without points = 7.25%

The number of points = 3 points

The rate of interest with the 3 points = 6.875%

The amount to be paid for purchasing the discount point is now calculated below;

Since 1 discount point = 1% of mortgage value;

Therefore, 3 discount points = 3% of mortgage value

The amount paid is thus = 3% of $675,250 = $20,257.5

To calculate Monthly payment without points, we use the mathematical formula;

M = P[r(1+r)^n/((1+r)^n)-1)]

Where M

Is monthly payment, r is the interest rate, n is the number of months.

According to the question M = 675,250, r = 7.25% = 7.25/100 = 0.0725 , n= 30 * 12 months = 360 months

M = 675,250[0.0725(0.0725+1)^30/(1+0.0725)^360)-1) = $4606.40

To get the monthly payment with points, we simply use the formula again but this time interest rates will be 6.875% = 0.06875 I.e r = 0.06875

Inputting the terms in the formula will yield a value of $4435.91. This means monthly payment with discount will be $4435.91

Savings in monthly payments after purchasing the discount points = $4,606.40 - $4,435.91 = $170.48

Break Even = Purchase cost of Discount Points / Monthly savings

= $20,257.5 / $170.48

= 119 Months

Hence, the number of months it will take Lisa and Lenny to break-even point on their mortgage will be 119 months

6 0
3 years ago
What are the x- and y-intercepts of the graph of 5x-4y= -20
lakkis [162]

To find the intercepts, we can set the opposite variable equal to 0 and solve.

Let's find the x intercept first.

5x - 4(0) = -20

5x = -20

Divide both sides by 5.

x = -4

<h3>The x intercept is -4.</h3>

Now let's find the y intercept.

5(0) - 4y = -20

-4y = -20

Divide both sides by -4.

y = 5

<h3>The y intercept is 5.</h3>
7 0
3 years ago
Read 2 more answers
11 12 13 Please help! Will reward brainliest
RoseWind [281]
11. 9/20
12. 13/20
13. 12/20

that's if it doesn't have to be in percentage form
3 0
3 years ago
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