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VladimirAG [237]
3 years ago
7

You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and e

ach is the same size. You now need to calculate the area of one triangle so that you can begin building the tabletop. What is the area of each triangle in square inches? 28 1/4" and 20"
Mathematics
1 answer:
svlad2 [7]3 years ago
8 0

Answer:

282.5 inches squared

Step-by-step explanation:

A triangle is half the area of a square.

So we will solve the area as if we were finding the area for a square, and then we halve the result.

Length multiply by height to get the area:

28.25 × 20 = 565 inches squared

Now, half the answer to get the area of the triangle:

565/2=282.5 inches squared

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If d , e, and f are midpoints of the sides of ABC, find the perimeter of ABC.
ehidna [41]

Answer:

Perimeter of the ΔDEF = 10.6 cm

Step-by-step explanation:

The given question is incomplete; here is the complete question with attachment enclosed with the answer.

D, E, and F are the midpoints of the sides AB, BC, and CA respectively. If AB = 8 cm, BC = 7.2 cm and AC = 6 cm, then find the perimeter of ΔDEF.

By the midpoint theorem of the triangle,

Since D, E, F are the midpoints of the sides AB, BC and CA respectively.

Therefore, DF ║ BC and FD=\frac{1}{2}\times(BC)

FD = \frac{7.2}{2}

     = 3.6

Similarly, FE=\frac{1}{2}\times(AB)

FE=\frac{8}{2}

FE = 4 cm

And DE=\frac{AC}{2}

DE = \frac{6}{2}

     = 3 cm

Now perimeter of ΔDEF = DE + EF + FD

= 3 + 4+ 3.6

= 10.6 cm

Perimeter of the ΔDEF is 10.6 cm.

7 0
3 years ago
Can you help me?!
geniusboy [140]
160/140 = x/56
cross multiply
(140)(x) = (160)(56)
140x = 8960
x = 8960/140
x = 64 lbs <== Vince's weight on the other planet
3 0
3 years ago
Read 2 more answers
In the diagram, Ray K QJKM is a straight angle.
mixas84 [53]

The true statements about the diagram given are:

3. m∠JKL = 45°

4. m∠MKQ + m∠PKQ = m∠PKM

5. PK is an angle bisector

<h3>What is an Angle Bisector?</h3>

An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.

The missing part of the question is in the image attached below.

In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).

Therefore, m∠JKL = m∠PKL = 45°

m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.

Therefore, the true statements are:

3. m∠JKL = 45°

4. m∠MKQ + m∠PKQ = m∠PKM

5. PK is an angle bisector

(see image attached below)

Learn more about angle bisector on:

brainly.com/question/24677341

#SPJ1

3 0
2 years ago
Which expression is equivalent to
Scilla [17]

The equivalent expression of \frac{(5ab)^3}{30ab^{-7}} is \frac{25a^{2}b^{10}}{6}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

\frac{(5ab)^3}{30ab^{-7}}

Expand the numerator

\frac{(5ab)^3}{30ab^{-7}} =\frac{125a^3b^3}{30ab^{-7}}

Divide 125 and 30 by 5

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^3b^3}{6ab^{-7}}

Apply the law of indices

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{3-1}b^{3+7}}{6}

Evaluate the exponent

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{2}b^{10}}{6}

Hence, the equivalent expression of \frac{(5ab)^3}{30ab^{-7}} is \frac{25a^{2}b^{10}}{6}

Read more about equivalent expression at:

brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Of the new cars at the dealership, 12% are red. if they have 50 new cars in their lot, how many cars are red
forsale [732]

It would be 12% of 50

50 * 12/100 = 600/100 = 6

so, 6 cars are red

4 0
3 years ago
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