Ask question

Ask question

All categories

3 years ago

7

A triangle has an area of 400 square inches. The length of the base of the triangle is 10 inches. What is the height of the tria

ngle?

1 answer:

Naily [24]3 years ago

5 0

Answer:

80 in

Step-by-step explanation:

A = 1/2bh

400 = 1/2(10)h

400 = 5h

h = 80

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

You might be interested in

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = <em>10 sq units</em>

4 0

3 years ago

Can anyone help me solve these linear systems using substitution?

Andre45 [30]

Answer:

1. (2,2)

2. (-20, -1)

3. (4,3)

Step-by-step explanation:

See attached images

4 0

2 years ago

Read 2 more answers

Prove the following statement.

jolli1 [7]

<h2>Step-by-step explanation:</h2>

As per the question,

Let a be any positive integer and b = 4.

According to Euclid division lemma , a = 4q + r

where 0 ≤ r < b.

Thus,

r = 0, 1, 2, 3

Since, a is an odd integer, and

The only valid value of r = 1 and 3

So a = 4q + 1 or 4q + 3

<u>Case 1 :-</u> When a = 4q + 1

On squaring both sides, we get

a² = (4q + 1)²

= 16q² + 8q + 1

= 8(2q² + q) + 1

= 8m + 1 , where m = 2q² + q

<u>Case 2 :-</u> when a = 4q + 3

On squaring both sides, we get

a² = (4q + 3)²

= 16q² + 24q + 9

= 8 (2q² + 3q + 1) + 1

= 8m +1, where m = 2q² + 3q +1

Now,

<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>

Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.

Hence , it is clear that square of an odd positive is in form of 8m +1

3 0

3 years ago

Graph each circle given below right the center and the radius of each circle

Paraphin [41]

Answer:

Center: (-1,8)

Radius: 1

The graph is attached.

Step-by-step explanation:

The equation of the circle has the form:

$(x -h)^{2}+(y-k)^{2}=r^{2}$

Where (h,k) is the point of the center of the circle and r is the radius of the circle.

The equation given in the problem is

$(x +1)^{2}+(y-8)^{2}=1$

Therefore:

h=-1

k=8

Then, the center is (-1,8) and radius is 1.

You can graph the circle with its center at the (-1,8) and a radius of 1 as you can see in the figure attached.

4 0

3 years ago

Read 2 more answers

An equilateral triangle has has an era of 43.5 square feet the height is 8.5 feet what is the Perimeter of the triangle

enot [183]

Answer:

30.7 ft

Step-by-step explanation:

<em>An equilateral triangle with area 43.5 has a height of 8.68 not 8.5</em>

<em>I will do the problem as written even though it is not a possible equilateral triangle</em>

<em>---------------------------------------------</em>

a = (1/2)bh

43.5 = (1/2)b(8.5)

43.5 = 4.25b

b = 43.5/4.25

b = 10.2352941176

-----------------------

p = 3b

p = 3 * 10.2352941176

p = 30.7058823528

~ 30.7 ft

8 0

3 years ago