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3 years ago

Type the correct answer in the box. Use numerals instead of words.

Mathematics

2 answers:

KonstantinChe [14]3 years ago

7 0

Answer:

35 cm squared

Step-by-step explanation:

Triangle area = bxh 2 = 5.75 x 8 / 2 = 23

Trapezium Area = a+b /2 x h = 8 + 4 /2 x 2 = 12

23 + 12 = 35

Hope that helped!!! k

victus00 [196]3 years ago

5 0

Answer: 35cm^2

Explanation:

Find the area of trapezoid:

A = (8 + 4)2/2 = (12 x 2)/2 = 24/2 = 12

Find the area of the triangle:

A = (8 x 5.75)/2 = 4 x 5.75 = 23

Find the area of the whole shape:

A (trapezoid) + A (triangle) = A (whole shape)

12 + 23 = 35 = A (whole shape)

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The lines shown below are perpendicular. If the green line has a slope of

klasskru [66]

Answer: 4

Step-by-step explanation:

Perpendicular lines have reciprocal slopes

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3 years ago

Find the slope of the line.

Morgarella [4.7K]

It is a positive slope and the slope is positive 2/3, to find the slope you do rise/run between two point, for example, to go from (2,-5) to (5,-3) you go up 2 squares and run 3 squares, making ur slope 2/3

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3 years ago

As part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each

Finger [1]

Answer:

Option d)$401,447.24

Step-by-step explanation:

We are given that as part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each year at rate of 6% compounded annually for 20 years

So first of all we need to find the future value of annuity using the formula as shown below :

$FV= p\frac{[(1+\frac{r}{n})^{(n)(t)}-1)]}{\frac{r}{n}}$

Here, FV = future value of annuity

p = $35000 (annual deposit)

r is rate = 6% = 0.06

n = number of compounding = 1 ( as we are compounding annually )

t = number of years = 20

So plugging in all the values in the formula , we get

$FV= 35000\frac{[(1+\frac{0.06}{1})^{(1)(20)}-1)]}{\frac{0.06}{1}}$

Simplifying further , we get

$FV= 35000\frac{[(1+0.06)^{20}-1)]}{0.06}$

Plugging in the given values in the calculator , we get

FV = $ 1287495.69

So far we have got the Total amount for annuity , from here we need to use the concept of compound interest and find the principal amount to be deposited to get the required total amount of $ 1287495.69

The formula for compound interest when compounded annually is given by:

$A=P(1+r)^t$

Here A = 1287495.69 (Total amount required)

P = ( principal amount to be deposited to meet the required total amount )

r = 6% = 0.06

t = 20

So plugging in all the known values in the formula , we get

$1287495.69= P(1+0.06)^{20}$

simplifying further, we get

$\frac{1287495.69}{(1.06)^{20}}= P$

so required amount to be deposited is given by :

P = $401,447.24

Hope it was helpful !:)

6 0

3 years ago

A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybri

stich3 [128]

Answer:

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

Step-by-step explanation:

Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline

then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline

Given that, non hybrid car travel, x = 33 miles per gallon

Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon

On 1 gallon of gasoline hybrid car travel= 45 miles

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4 0

3 years ago

9 − 5 = 1 /4 (16x + 60)<br> show your work solve for x

leva [86]

Distribute 1/4 to all terms within the parenthesis

9 - 5 = 4

1/4(16x + 60) = (16x + 60)/4 = 4x + 15

4 = 4x + 15

Isolate the x. Note the equal sign. What you do to one side, you do to the other.

Subtract 15 from both sides

4 = 4x + 15

4 (-15) = 4x + 15 (-15)

4 - 15 = 4x

-11 = 4x

Isolate the x. Divide 4 from both sides

(-11)/4 = (4x)/4

x = -11/4

hope this helps

6 0

3 years ago