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Alinara [238K]
3 years ago
14

Use the picture below to fill in the blanks

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

Perimeter of base = 18 ft

Height = 7 ft

Base area = 12ft²

SA= 150 ft² *

Step-by-step explanation:

Perimeter of base = 8+5+5=18 ft

Height = 7 ft

Base area = 1/2x8x3=12ft²

SA= (8x7)+(12+12)+2(5x7)=56+24+70=150 ft²

*There are several different way to figure out the surface area, so I’m not sure exactly how they want it displayed.  150 is the answer though.  Plus, I think there was supposed to be an addition sign between the first two parentheses.

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Factor the expression. 24x+3
Olin [163]

Answer:

Step-by-step explanation:

24x = 3 * 8 * x

3     = 3 * 1

Greatest common factor = 3

24x +3 = 3*8x + 3*1

           =3(8x + 1)

6 0
3 years ago
Read 2 more answers
Help pls i need this luv you guys ,<333
bagirrra123 [75]

Answer:

x ≈ 3.1 ft

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector, thus

The triangle is right with base = \frac{1}{2} x

Applying Pythagoras' identity to the right triangle, then

(\frac{1}{2} x )² + 1.4² = 2.1²

\frac{1}{4} x² + 1.96 = 4.41 ( subtract 1.96 from both sides )

\frac{1}{4} x² = 2.45 ( multiply both sides by 4 )

x² = 9.8 ( take the square root of both sides )

x = \sqrt{9.8} ≈ 3.1 ft ( to the nearest tenth )

7 0
3 years ago
If a company has five employees with annual salaries of $60,000, $70,000, $60,000, $90,000, and $80,000, respectively, what is t
Vanyuwa [196]

well to find the mean you add up all the numbers then divide by the ammount of numbers so it would be 60,000+70,000+60,000+90,000+80,000=360,000 then you divide that by 5 and you end up with 72,000

6 0
3 years ago
Which equation represents the circle described? (in picture)
Sedaia [141]
You are right. In circle equation we have =r² so the correct answer will be C od D.  But we have to calculate the center of a circle.

x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24

Complete the square:

x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2

And we have:

(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}

So the answer is C (the same left side of equation).
6 0
3 years ago
I don’t know if it’s A or B
lara31 [8.8K]

Answer:

A

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

:)

7 0
3 years ago
Read 2 more answers
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