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3 years ago

HELP ITS A TEST!!! IF YOU KNOW HOW TO DO THIS HELP PLEASE!

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

Answer:

Step-by-step explanation:

A = base *h /2

A = (4*15/2 )/2 = 15 in²

A = (1 and 3/7 *14/5 )/2 = (10/7 * 14/5 )/2 = 2 in²

A= (5 and 2/7 * 7/2) /2 = (37/7 * 7/2)/2 = 9.25 in²

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4x + y = 7 3x + 2y = 9

Diano4ka-milaya [45]

Answer:

x = 1

y = 3

Step-by-step explanation:

<h2>Substitution Method:</h2>

Step 1:

Name The Equation

4x + y = 7 ...(1)

3x + 2y = 9 ...(2)

Step 2:

From Equation (1) we get,

4x = 7 - y

i.e.,

x = 7 - y/4

Step 3:

Substitute the value of x = 7 - y/4 in equation (2)

i.e.,

3(7 - y/4) + 2y = 9

21 - 3y/4 + 2y = 9

21 - 3y + 8y/4 = 9

21 - 3y + 8y = 9 * 4

21 + 5y = 36

5y = 36 - 21

5y = 15

y = 15/5

y = 3

Step 4:

Substitute the value of y = 3 in equation (1)

4x + y = 7

i.e.,

4x + (3) = 7

4x + 3 = 7

4x = 7 - 4

4x = 4

x = 4/4

x = 1

<h2>Verification: </h2>

4x + y = 7 i.e., 4(1) + (3) = 7

3x + 2y = 9 i.e., 3(1) + 2(3) = 9

3 0

3 years ago

A woman put $580 into a saving account for one year. The rate of interest on the account was 6.5%. How much was the interest for

svetlana [45]

interest = $580 x 0.065 = $37.70

answer
interest for the year is $37.70

8 0

3 years ago

your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your who

Elodia [21]

Answer:

4 hours

Step-by-step explanation:

In 6 hours, J paints 1 room

So, in 1 hour, J paints 1/6 th of the room

Using similar logic, in 1 hour, T paints 1/12 th of the room.

Working together in one hour, they paint (1/6+1/12) th =1/4 of the room.

1/4 of the room is painted in 1 hour

So, 1 room is painted in 1 1/4=4 hours

5 0

3 years ago

Read 2 more answers

After drawing the line y = 2x − 1 and marking the point A = (−2, 7), Kendall is trying to decide which point on the line is clos

igor_vitrenko [27]

Answer:

Step-by-step explanation:

Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line

Having the point P(3,5) substitue x to verify y

y=2*(3)-1=6-1=5 (3,5)

Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

$d_{AP}=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}=\sqrt{(5-7)^{2}+(3-(-2}))^{2}}=\\\sqrt{(-2)^{2}+(5)^{2}}=\sqrt{29}$

and we found the distance PQ and QA

; $d_{PQ}=\sqrt{125}$ , $d_{QA}=12$

be the APQ triangle we must find <APQ through the cosine law (graph 2).

3 0

3 years ago

A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on

Alla [95]

Given:

The scale of a map is $\dfrac{3}{4}\ in=80\ miles$ .

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

$\dfrac{3}{4}\ in=80\ miles$

It means, 80 miles in real life = $\dfrac{3}{4}\ in$ on the map.

1 mile in real life = $\dfrac{3}{4\times 80}\ in$ on the map.

60 mile in real life = $\dfrac{3\times 60}{4\times 80}\ in$ on the map.

= $\dfrac{180}{320}\ in$ on the map.

= $\dfrac{9}{16}\ in$ on the map.

Therefore, the buildings are $\dfrac{9}{16}\ in$ apart on the map.

7 0

3 years ago