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Nataly_w [17]
3 years ago
9

In this diagram, BAC – EDF. If the

Mathematics
1 answer:
puteri [66]3 years ago
6 0
The triangles are congruent. So.

Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.

Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.

This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2

The answer is 6inches^2
You might be interested in
9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc
irakobra [83]

<h3><u>Answer:</u></h3>

  • B) 22.32 feet

\quad\rule{300pt}{1pt}

<h3><u>Solution</u><u>:</u></h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull

Here,

  • hypotenuse = 23 feet
  • \theta = 76°
  • Value of Sin\theta = 0.97
  • Perpendicular = ?

\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}

\quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }

\quad\dashrightarrow\quad \sf { P = 22.32}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>distance </u><u>from </u><u>the </u><u>top </u><u>of </u><u>the </u><u>ladder </u><u>to </u><u>the </u><u>ground </u><u>is </u><u>2</u><u>2</u><u>.</u><u>3</u><u>2</u><u> </u><u>feet </u><u>!</u>

\rule{300pt}{2pt}

4 0
2 years ago
Can you help me with both don’t know if second one is right
erma4kov [3.2K]

Answer:

1. $67.72

2. It's correct.

Step-by-step explanation:

1.

bill: $68.89

discount: $10

tip: 15%

Calculate the total with the discount.

68.89-10=58.89

Now calculate 15% of that.

Convert 15% to decimal by dividing by 100

\frac{15}{100}=0.15

Multiply

0.15(58.89)=8.83

Add this to the original amount.

58.89+8.83=67.72

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

Calculate 20% of 148.25

Convert 20% to decimals by dividing by 100

\frac{20}{100}=0.20

Multiply

0.20(148.25)=29.65 This is how much they will tip.

Add this to the original bill;

148.25+29.65=177.90

7 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Flauer [41]

Answer:

16°F

Step-by-step explanation:

15 + x = 31

x = 31 -15

x = 16

4 0
2 years ago
Find the area of the shaded region. Round your answer to the nearest tenth if needed.<br><br> 4B
AlexFokin [52]

Answer:

136.1 inches

Step-by-step explanation:

area of a circle is r^2 x pi

this is 3/4 of a circle

1. so 3/4 x 7.6^2xpi

2. 3/4 x 57.76 x pi

3. .75 x 57.76 x pi

4. 136.1

5 0
3 years ago
Exponential expression please help
Lelechka [254]

{3}^{ - 2}  =  \frac{1}{9}
8 0
3 years ago
Read 2 more answers
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