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stealth61 [152]
3 years ago
10

Factor completely x2 + 20x − 36. (1 point)

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Consider the form x^2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 36 and whose sum is 20.

2, 18

Write the factored form using these integers.

(x+2)(x+18)

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In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.
fiasKO [112]

Answer:

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are <em>1-√3-2</em>.

If the long leg is 8, then the short one is 8/√3, or <em>8√3/3</em>.

Therefore, the hypotenuse, which is <em>double the short leg</em>, is 16√3/3.

5 0
3 years ago
Find the total surface area of this cuboid
Harman [31]

Step-by-step explanation:

☄ \underline{ \underline{ \sf{Given}}}:

  • Length ( l ) = 4 cm
  • Width ( w ) = 2 cm
  • Height ( h ) = 5 cm

☄ \underline{ \underline{ \sf{To \: find}}} :

  • Total surface area of a cuboid

❅\underline{ \underline{ \text{Solution}}}:

✑ \boxed{ \text{TSA = 2lw + 2lh + 2hw}}

Plug the known values :

⟼ \sf{2 \times 4 \times 2 + 2 \times 4 \times 5 + 2 \times 5 \times 2}

⟼ \sf{16 + 40 + 20}

⟼ \boxed{\sf{76 \:  {cm}}^{2} }

\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 76 \:  {cm}}^{2} }}}

Hope I helped !♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

4 0
2 years ago
Plz show work and solve quick please need help!!!!!
Simora [160]
Surface area is just the area of all these 4 triangles plus the rectangle.

First we can find the area of the rectangle.

\sf A=lw

Half of the length is 28 cm, so the full length must be 28 * 2 = 56 cm.

\sf A=(56)(27)

\sf A=1512cm^2

The base for the left and right triangles are 27. The heights would be the net length minus half the length of the rectangle:

\sf 82.8-28=54.8\? cm

Calculate the area:

\sf A=\dfrac{1}{2}bh

\sf A=\dfrac{1}{2}(27)(54.8)

\sf A=739.8\?cm^2

We have two of these triangles.

\sf 739.8\times 2=1479.6\? cm^2

Now do the other two pair of triangles. The bases for them are 28 + 28 = 56 cm. The heights would be the net width minus the width of the rectangle:

\sf 81.2-27=54.2\?cm

Now find the area:

\sf A=\dfrac{1}{2}bh

\sf A=\dfrac{1}{2}(56)(54.2)

\sf A=1517.6\? cm^2

We have two of these triangles.

\sf 1517.6\times 2=3035.2\?cm^2

Add all the areas together:

\sf 1512+1479.6+3035.2=\boxed{\sf 6026.80\? cm^2}
7 0
3 years ago
Please help me with this last problem
sdas [7]
The answer to question #5 is 17
4 0
3 years ago
Read 2 more answers
Write equation for the line that is perpendicular to the y axis and passing through (5,1)
Alla [95]

Answer:

Step-by-step explanation:

A line perpendicular to the y-axis, which is vertical, is a line that is horizontal. Perfectly horizontal lines always have a slope of 0. Thus, the equation of the line perpendicular to the one given and passing through the given point (5, 1) is

y - 1 = 0(x - 5) and

y - 1 = 0x - 0 and

y - 1 = 0 so

y = 1 is the equation you're looking for.

3 0
3 years ago
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