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weeeeeb [17]
3 years ago
11

How do you factor 4a^2+11a-20

Mathematics
1 answer:
bixtya [17]3 years ago
4 0
You have to factor by grouping.
(4a - 5) (a + 4)
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15. The length of each edge of a regular tetrahedron,
grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35\mathrm{cm}^{3}

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height=\sqrt{\frac{2}{3}} a

Where a= length of each edge

Slant height=\sqrt{\frac{2}{3}} \times 8

                     =\sqrt{0.6667} \times 8

                     =0.8165 \times 8=6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron=\frac{a^{3}}{6 \sqrt{2}}

Substitute the value of a in above equation we get

Volume=\frac{8^{5}}{6 \sqrt{2}}

            =\frac{512}{6 \sqrt{2}}

            =\frac{512}{6 \times 1.414}

Volume=512 / 8.484=60.35\mathrm{cm}^{3}

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35\mathrm{cm}^{3}

7 0
3 years ago
Beatrice has a rectangular swimming pool in her backyard. The dimensions are 16 feet by 8 feet. She decides to build a deck of u
xeze [42]
Super happy with. Long long long
5 0
3 years ago
Find only the rational roots of x4 – 9x3 + 16x2 + 18x – 36 = 0
laila [671]
<span>x² - 18x - 4 = ox² - 18x = 4x² - 18x + (18/2)² = 4 + (18/2)²x² - 18x + 81

</span>
8 0
3 years ago
PLSSS HELP!!! What is the measure of angle x???
bixtya [17]

DBH make a triangle.

The three inside angles of a triangle need to equal 180

H = 180 - B - D

H = 180 - 39 - 36 = 105

H and X make a straight line that equals 180 degrees

X = 180 - H

X = 180 - 105 = 75 degrees.

5 0
3 years ago
What is the value of a?
kaheart [24]

Answer:

a=\dfrac{16}{3}\ un.

Step-by-step explanation:

In right triangle XZW, the height WY is the geometric mean of segments ZY and XY.

Hence,

WY^2 =ZY\cdot XY,\\ \\4^2=3\cdot a,\\ \\a=\dfrac{16}{3}\ un.

7 0
3 years ago
Read 2 more answers
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