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My name is Ann [436]
3 years ago
12

Find the missing dimension of each triangle described Height: 7 in., area: 21 in2

Mathematics
1 answer:
leonid [27]3 years ago
6 0
The basic dimensions of any triangle are its area, base, and height.
They're related by the area equation; the area is half of the base times the height, or:
A=\frac{1}{2} b h
We know the area and the height, so the missing dimension has to be the base. Let's set up an equation by substituting the values the problem gives into the area equation.
21=\frac{1}{2} \cdot b \cdot 7
Can you solve this equation for b?
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Sin2A + sin5A - sinA÷cos2A + cos5A + COSA=Tan2A​
bezimeni [28]

Answer:

That is the correct answer

Step-by-step explanation:

AND the whole solution I hope it helps to you

7 0
2 years ago
The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.
GrogVix [38]

Answer: C) mC > mA > mB is correct regarding the angles of the  triangle ABC.


Step-by-step explanation:

Given: In Δ ABC, the side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.

AB=4p-1 , AC=p+4 , BC=3p

where p+4 < 3p        [as p≥3]

3p < 4p-1          [as p≥3]

⇒  4p-1> 3p > p+4

⇒AB>BC>AC

Angle opposite to AB ,BC and AC is m∠C ,m∠A and m∠B.

Therefore mC > mB > mA    [∵Angle opposite to greater side is greater]

Thus , mC > mA > mB is correct regarding the angles of the  triangle ABC.

8 0
3 years ago
Read 2 more answers
The mean annual premium for automobile insurance in the United States is $1503 (Insure website, March 6, 2014). Being from Penns
Arturiano [62]

Answer:

It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium

Step-by-step explanation:

Given that annual premium for automobile insurance in the United States  (Insure website, March 6, 2014), are as follows:

Mean 1440.00

SD 165.00

SEM 33.00

N 25    

a) H_0: \bar x = 1503\\H_a: \bar x

(left tailed test at 5% level)

b) a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

=1440-1503\\=-103

c)    df = 24

 standard error of difference = 33.000

t = 1.9091

The   95% confidence interval of this difference:

From -131.11 to 5.11

p value = 0.0683

Since p >0.05, we accept H0

It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium

4 0
4 years ago
Write a linear factorization of the function.
mart [117]

Answer:

  f(x) = x^2 (x + 7i)(x - 7i)

Step-by-step explanation:

Factoring out x^2 gives ...

  f(x) = x^2(x^2 +49)

The factor with 49 can be considered to be the difference of two squares, where one of the squares is -49. Then its square root is ±7i, and the factorization of that term is ...

  x^2 +49 = (x +7i)(x -7i)

So, the overall factorization of f(x) is ...

  f(x) = x^2(x +7i)(x -7i)

4 0
3 years ago
Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara wri
Sati [7]
If you see the below statements among the choices, then you can select these as the answers:
a.) 39 + 2k = 69
             2k = 69 - 39
          2k/2 = 30/2
               k = 15

b.) 39 + 2k = 69
 39 + 2(15) = 69
     39 + 30 = 69
             69 = 69
7 0
3 years ago
Read 2 more answers
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