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mars1129 [50]
3 years ago
13

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is

Mathematics
2 answers:
Yuri [45]3 years ago
4 0
Area = 0.5 ( sum of two bases ) * height


height = (14- 8)/2 = 3


Area = 0.5 x 3 x (14 + 8 ) = 33 sq units
Mice21 [21]3 years ago
3 0

Answer:

Option A is correct.      

Step-by-step explanation:

Given an isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. we have to find the area of isosceles trapezoid.

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14.

From the figure attached , we can see an isosceles trapezoid ABCD,

AB = 8cm and CD=14cm

So we have to find the value of AE which is the height of Trapezoid in order to find area.

In ΔAED

tan\angle 45 =\frac{AE}{ED}

⇒ AE=1\times 3

∴ AE = DE =3cm

\text{The area of the trapezoid=}\frac{h}{2}\times (a+b)

h=3cm, a=14cm, b=8cm

Area=\frac{3}{2}\times(14+8)=\frac{3}{2}\times 22=33 units^2

hence, \text{The area of the trapezoid is }33 units^2

Option A is correct.

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Move two choices to the blanks to correctly complete the sentences.
Pavel [41]

Answer:

(A) There should have been 5 outcomes of HT

(B) The experimental probability is greater than the theoretical probability of HT.

Step-by-step explanation:

Given

S = \{HH,HT,TH,TT\} -- Sample Space

n(S) = 4 --- Sample Size

Solving (a); theoretical outcome of HT in 20 tosses

First, calculate the theoretical probability of HT

P(HT) = \frac{n(HT)}{n(S)}

P(HT) = \frac{1}{4}

Multiply this by the number of tosses

P(HT) * n= \frac{1}{4} * 20

P(HT) * n= 5

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Solving (b); experimental probability of HT

Here, we make use of the table

P(HT) = \frac{n(HT)}{n(S)}

P(HT) = \frac{6}{20}

P(HT) = 0.30 ---- Experimental Probability

In (a), the theoretical probability is:

P(HT) = \frac{1}{4}

P(HT) = 0.25 ---- Experimental Probability

By comparison;

0.30 > 0.25

6 0
3 years ago
If f(x)=4x−7 what is f(−5)?<br><br> 1. 13<br> 2. -27<br> 3. -13<br> 4. 27
Xelga [282]

Answer:

option 2

Step-by-step explanation:

Substitute x = - 5 into f(x) , that is

f(- 5) = 4(- 5) - 7 = - 20 - 7 = - 27

3 0
3 years ago
What value of x makes this equation true?
natali 33 [55]

Answer:

-1.8 =x

Step-by-step explanation:

12(x+3)=-8x

Distribute

12x +36 = -8x

Subtract 12x from each side

12x-12x +36 = -8x-12x

36 = -20x

Divide each side by -20

36/-20 = -20x/-20

-9/5 = x

Changing to decimal form

-1.8 =x

4 0
3 years ago
Read 2 more answers
.<br> Which list shows the numbers below in order from least to greatest?
ycow [4]

Answer:

C aka the third one

Step-by-step explanation:

5 0
3 years ago
A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration? Is this acceleration higher than that of a car
77julia77 [94]

The average acceleration of an object is calculated as the final speed minus the initial speed divided by the elapsed time.

So:

a = \frac{V_f-V_0}{T_2-T_1}

Where

V_f= final speed

V_0 = initial speed

T_2-T_1 = elapsed time.

Thus:

The acceleration of the cyclist is:

a = \frac{8-0}{3}

a = 2.667m / s ^ 2

The acceleration of the car is:

a = \frac{30-0}{8}

a = 3.75 m/s^2

The average acceleration of the car is higher than the average acceleration of the cyclist.

7 0
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