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Anna35 [415]
3 years ago
12

A trapezoid has a height of 3 meters, a base length of 8 meters, and an area of 30 square meters. What is the length of the base

?
Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

Length of the second base will be 12 meters.

Step-by-step explanation:

Area of a trapezoid is given by the formula,

Area = \frac{1}{2}(b_1+b_2)h

Here, b₁ and b₂ are the bases of the trapezoid and 'h' is the vertical distance between the bases.

By substituting the values in the formula,

30=\frac{1}{2}(8+b_2)3

60=3(8+b_2)

20=8+b_2

b_2=12

Therefore, length of the second base will be 12 meters.

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A segment XD is drawn in rectangle QUAD as shown
grin007 [14]

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

<em>A segment XD is drawn in rectangle QUAD as shown  below. </em>

<em>What are the measures of ∠XDQ and ∠UXD ? </em>

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=>  ∠XDQ = ∠ADU - ∠ADX

= 90°  - 49°  = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> <em>∠UXD = </em>180° - ∠DXA  (Because UA is a straight line)

=180° - 41°  

= 139 °  

5 0
3 years ago
The distance between the Town Hall and the Post Office is 4 km, and the distance between
Sophie [7]

Answer:

1cm: 1 km

Step-by-step explanation:

The scale of the map is simply 1:1

5 0
3 years ago
Can somebody help me please with percent increases
Leviafan [203]
I can what do you need

6 0
4 years ago
Question 2 of 10 Sakura buys some softballs at $3 each and bats at $35 each for her PE class. She buys twice as many balls as ba
kicyunya [14]

Answer: Cost of each ball , $3.

Cost of each bat , $35 .

Total money spend , $131 .

She buys twice as many balls as bats.

Tax , $8 .

To Find :

The number of bats she  buys .

Solution :

Let , x represent the number of bats she buys.

So , number of balls she buys is 2x .

Therefore , number of bats she buys is 3 .

Hence , this is the required solution .

Step-by-step explanation:

8 0
2 years ago
Kelly subtracted 2.3 from 20 and got 17.7. explain why this answer is reasonable
netineya [11]
If 20-2.3=17.7, then if you add 17.7 to 2.3. it equals 20 which is called the communicative property because whatever you add or subtract, the answer is the same
17.7+2.3=2.3+17.7
3 0
3 years ago
Read 2 more answers
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