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brilliants [131]
3 years ago
7

Simplify the given equation.

Mathematics
1 answer:
xxMikexx [17]3 years ago
6 0
When simplified,letter A will be your answer.
4-7x=15
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Find the total area for the regular pyramid.
hram777 [196]

Answer:

  • Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

<u>Find the base area:</u>

  • A = 3√3/2a²
  • A = 3√3/2*6² = 54√3

<u>Given the height and radius, find the side of the lateral triangular faces:</u>

  • \sqrt{8^2+6^2} =\sqrt{100} =10

Each of 6 triangles have sides 10, 10 and 6 units.

<u>Find the area using heron's formula:</u>

  • s = P/2 = (10*2 + 6)/2 = 13
  • s - a = s - b = 13 - 10 = 3
  • s - c = 13 - 6 = 7
  • A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}

<u>Total surface area:</u>

  • S = 6*3\sqrt{91}+54\sqrt{3}  =18\sqrt{91}+54\sqrt{3}

Correct choice is B

3 0
2 years ago
Find the value of this expression if x= -7<br><br> x^2+5/x+1
Ray Of Light [21]

Answer:

-9

Step-by-step explanation:

Replace x with -7 in the expression:

x^2 + 5 / x + 1

-7^2 + 5 / -7 + 1

49 + 5 / -6

54/-6

simplify the fraction

9/-1 = -9

8 0
2 years ago
Please answer <br> 3(x-1)=5x+3-2x
Setler [38]
Answer: there are no solutions



Step by step: Step 1: Simplify both sides of the equation.
3
(
x
−
1
)
=
5
x
+
3
−
2
x
(
3
)
(
x
)
+
(
3
)
(
−
1
)
=
5
x
+
3
+
−
2
x
(Distribute)
3
x
+
−
3
=
5
x
+
3
+
−
2
x
3
x
−
3
=
(
5
x
+
−
2
x
)
+
(
3
)
(Combine Like Terms)
3
x
−
3
=
3
x
+
3
3
x
−
3
=
3
x
+
3
Step 2: Subtract 3x from both sides.
3
x
−
3
−
3
x
=
3
x
+
3
−
3
x
−
3
=
3
Step 3: Add 3 to both sides.
−
3
+
3
=
3
+
3
0
=
6
6 0
2 years ago
Read 2 more answers
What is the quantity 0.0075 meters expressed in centimeters? 0.075 cm 0.75 cm 7.5 cm 70.5 cm?
Alex787 [66]
0.75 because 100cm = 1m so you just move the decimal to the right by 2
5 0
3 years ago
Write y-9= -3(x+2) in slope intercept form
klio [65]

Answer:

y=-3x+3

Step-by-step explanation:

8 0
3 years ago
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