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3 years ago

(NEED HELP ASAP)

Mathematics

2 answers:

castortr0y [4]3 years ago

7 0

Answer:

Height of the trapezoid = 5 units

Step-by-step explanation:

Given is a picture of a trapezoid.

The two parallel sides or bases have dimensions as 10 and 6 units.

The height of the trapezoid is not given and to be found out.

We have the formula for a trapezoid with bases

$b_1, b_2$ and height h is

$h\frac{b_1+b_2}{2}$

Substitute the known values in the formula for area to get h

$40=h\frac{10+6}{2} \\80=16h\\h=5$

Height of the trapezoid = 5 units

Mumz [18]3 years ago

4 0

*The missing image is attached with the answer*

The correct answer is: Height = h =5 units

Explanation:
a = 6 = Smaller base
b = 10 = Larger base
h = height

Area = A = (a + b)h/2 = 40

Plug in the values in the above equation:
h = (2*40)/(6+10)
h = 5 units

You might be interested in

Solve for the missing sides 30-60-90 triangle show work please and thank you

Alex_Xolod [135]

Answer:

$x=8\sqrt{3}$

$y=16$

$x=3$

$y=3\sqrt{3}$

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

$a-a\sqrt{3}-2a$

Where (a) is the side opposite the (30) degree angle, ( $a\sqrt{3}$ ) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ( $\sqrt{3}$ ). Thus the following statement can be made,

$x=8\sqrt{3}$

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

$y=16$

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

$y=3\sqrt{3}$

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

$x=3$

6 0

3 years ago

PLS HELP ME UNDERSTAND THIS

Romashka-Z-Leto [24]

Answer:

Exact form: 44/15

Decimal form: 2.93 repeating

Mixed number form: 2 14/15

Step-by-step explanation:

6 0

2 years ago

What is the equation of the line (in slope-intercept form) that passes through the point (5,−1) and is parallel to the line y=2x

tatyana61 [14]

Answer:

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================$

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\==========================$

$\text{We have the equation of a line:}\ y=2x-7\to m_1=2.\\\\\text{The slope of a parallel line:}\ m_2=m_1=2.\\\\\text{We have the equation:}\\\\y=2x+b\\\\\text{Put the coordinates of the point (5, -1) o the equation:}\\\\-1=2(5)+b\\-1=10+b\qquad\tex\text{subtract 10 from both sides}\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=2x-11$

5 0

3 years ago

What is the measure of < A, In degrees?

amid [387]

Answer:

D.120

Step-by-step explanation:

The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120

4 0

3 years ago

I just wanna say i hope your having a good day! and you are enough! keep going u got this!

Vladimir79 [104]

aww,thank you ^^

i hope you're having a good day as well

8 0

2 years ago