What is the least common denominator for the fractions 16and34?

If two angles of a triangle each measure 45 degrees what is the third angle

8_murik_8 [283]

Since we know that there are exactly 180 degrees in any triangle, and if each angle is equal to 45 degrees, we must add 45 to 45 and then subtract the result from 180 to find the 3rd angle. Since 45+45=90,we subtract 180-90 and get 90 degrees or a right angle.

5 0

3 years ago

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Evaluate the expression 2ab 3+ 6a 3 - 4ab2 when a=2 and b=4.<br> a.176<br> b.180<br> c.215<br> d.216

Tom [10]

The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 × $2^{6}$ + 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 × $2^{6}$ + 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 × $2^{6}$ + 3 × 2³ - $2^{6}$ )
Collect the like terms with a base of 2.
2( $2^{6}$ + 3 × 2³)
Evaluate the power of 2³.
2( $2^{6}$ + 3 × 8)
Evaluate the power of $2^{6}$ .
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)

5 0

3 years ago

Which point is the incenter of △JKL ?

allsm [11]

Answer: In-center of the triangle is point N.

Step-by-step explanation:

We are given a triangle △JKL.

In triangle △JKL, they drew perpendicular bisectors of each side of the triangle.

Also we are given angle bisectors of the each of angles in given triangle.

Note: Perpendicular bisector is a line that intersect a segment into two equal parts and also perpendicular to it.

<em>Also note that the in-center is the point forming the origin of a circle inscribed inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.</em>

<h3>We can see that angle bisectors are intersecting at a point N. </h3><h3>Therefore, in-center of the triangle is point N.</h3>

3 0

3 years ago

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A company makes wax candles shaped like rectangular prisms. Each candle is 4 cm long, 3 cm wide, and 10 cm tall. If the company

MatroZZZ [7]

Answer:

34

Step-by-step explanation:

You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.

6 0

2 years ago

Look at pic broooos so just do it rn

igomit [66]

Answer:

b) 83.2 c) 62.5

7 0

3 years ago