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crimeas [40]
3 years ago
14

he formula for the area of a triangle is a =1/2bh, in which b represents the length of the base and h represents the height. if

a triangle has an area of 105 mm2 and the height is 10 mm, what is the measure of the base?
Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Substitute the given numbers into the formula a = 1/2bh, where b is the base of the triangle and h is the height of the triangle.

You are given the area, 105 mm^2 and the height, 10 mm^2, so substitute 105 for a and 10 for h; solve for the unknown variable b.

(105) = 1/2b(10), start by multiplying 1/2 and 10.

(105) = 5b, divide both sides of the equation by 5.

b = 21

The measure of the triangle's base is 21 mm.

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In an arithmetic sequence, = 5 and = 11.
Free_Kalibri [48]

Answer:

1134.62 (THE SUM OF 20 TERMS)

Step-by-step explanation:

First we write out our given information:

a8=2a2

a11=18

an is an arithmetic sequence.

Where here an means the nth term of our sequence.

What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:

an+1=an+c

Equivalently:

an+1−an(n+1)−n=c

So an is of slope c (c2 is another constant):

an=cn+c2

Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)

Now we use the other given information to try to come up with a solution.

Let n=2:

a2=2c+c2

Let n=8, using the above equation we have:

a8=8c+c2=2a2=4c+2c2

Let n=11

a11=18

a11=11c+c2

But a11−a8=(11c+c2)−(8c+c2)=3c

Hence, a11=3c+a8

a11=3c+4c+2c2=18

a11=3c+8c+c2=18

5 0
2 years ago
calcola la misura della diagonale di un rettangolo sapendo che il perimetro è 388 cm e la base misura 168.
Hoochie [10]

Answer:

41.6 cm

Step-by-step explanation:

5 0
2 years ago
A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city.
nirvana33 [79]

Answer:

H0: p ≤ 0.50

Ha: p > 0.50

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Let p represent the proportion of households in the city that gave a charitable donation in the past year

The null hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is not more that 0.50

H0: p ≤ 0.50

The alternative hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is more that 0.50

Ha: p > 0.50

7 0
3 years ago
What shape is this cross-section?​
melisa1 [442]

Answer:

Square

Step-by-step explanation:

From what it looks like I think it is a square

6 0
2 years ago
Read 2 more answers
Katrina wants to build a fence around her square garden. Her garden has an area of 121 square feet. How much fencing will Katrin
Luba_88 [7]

121 \div 2 = 11
each side equals 11
11 \times 4 = 44
katrina needs 44 ft of fence
4 0
3 years ago
Read 2 more answers
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