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Pavel [41]
3 years ago
7

Find the simplest expression for the perimeter of the triangular roof truss.

Mathematics
1 answer:
REY [17]3 years ago
6 0
Perimeter of triangle = all sides added up
3a + 4 + 2a - 7 + 9a + 11

now add like terms
3a + 2a + 9a = 5a + 9a = 14a

4 - 7 + 11
= -3 + 11 = 8

so we have  14a + 8
as our simplest expression
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Find the number that makes 4:12 equivalent to 28:__.
guapka [62]

Answer:

84

Step-by-step explanation:

We can set up a proportion using fractions.

\frac{4}{12} = \frac{28}{x}

Now, let's cross multiply by multiplying 12 and 28 then dividing by 4.

12\cdot28=336\\\\336\div4=84

Hope this helped!

6 0
3 years ago
Read 2 more answers
A manufacturer of shipping boxes has a box shaped like a cube. The side length is (5a + 4b). What is the volume of the box in te
rodikova [14]
<span>Volume of a square = (s)(s)(s) and s=5a+4b Therefore: (5a+4b)(5a+4b)(5a+4b)= (25a^2+40ab+16b^2)(5a+4b)= (125a^3+200a^2b+80ab^2+100a^2b+160ab^2+64b^3)= (125a^3+300a^2b+240ab^2+64b^3) You just multiple the first time the second and then do so again with the combination of the first two times the second. A little cleaning up and you are left with an equation in terms of a and b.</span>
7 0
2 years ago
Evaluate the expression 8p6
Margaret [11]

Answer:

Evaluate 8P6 P 6 8 using the formula nPr=n!(n−r)! P r n = n ! ( n - r ) ! . 8!(8−6)! 8 ! ( 8 - 6 ) ! Subtract 6 6 from 8 8 . 8!(2)! 8 ! ( 2 ) ! Simplify 8!(2)! 8 !

Step-by-step explanation:

evaluate" usually means to put a value in for the variable, but you don't give us a value for p. also, it is unclear if you ...

8 0
3 years ago
An A-frame house is 45 feet high and 32 feet wide. Find the measure of the angle that the roof makes with the floor. Round to th
Flura [38]

Answer:

Angle, \theta=70.4^{\circ}

Step-by-step explanation:

We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.

The attached figure shows the A frame. Let \theta is the angle that the roof makes with the floor. So,

\tan\theta=\dfrac{45}{16}\\\\\tan\theta=2.81\\\\\theta=\tan^{-1}(2.81)\\\\\theta=70.4^{\circ}

So, the angle of 70.4 degrees is the angle that the roof makes with the floor.

4 0
3 years ago
How many solutions does this equation have?
Greeley [361]

Answer:

No solution

Explanation:

-4+19-7f = -15-7

cancel terms on both sides ( add 7f on both sides)

Calculate the sum

-4+19= -15

-4+19=15

15 = -15

The statement 15 = -15 is false so there is no solution :)

4 0
2 years ago
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