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tino4ka555 [31]
3 years ago
15

An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate

st possible length of the longest side, rounded to the nearest tenth?
Mathematics
2 answers:
madam [21]3 years ago
8 0

Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm

Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side


For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm

If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
sesenic [268]3 years ago
7 0

Answer:

C. 42.0

Step-by-step explanation:

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Identify the equation in slope-intercept form for the line containing the point (0,7) and perpendicular to y=−5/4x+11/4.
g100num [7]

Answer:

4/5x + 7

Step-by-step explanation:

the slope-intercept form is y = ax+b

a is the slope, to figure it out the line is perpendicular to y = -5/4x+11/4

There is a rule said if two lines are perpendiculars, the multiplication of their slopes = -1, so -5/4 * a = 1, solve for a = 4/5

b is the intercept to get it use the point (0,7)

so y = 4/5x+b, 7 = 4/5 * 0 + b,  then b = 7

4 0
2 years ago
Can u break it down and help me answer 13 and 15 thx
olya-2409 [2.1K]
13) The product is a name for the answer to a multiplication question.
6.65*10,000
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3 0
3 years ago
A triangular pyramid has a height of 18 yards and a base with an area of 330 square yards. What is the volume of the pyramid?
WITCHER [35]

Answer:

option C. V=1,980\ yd^{3}

Step-by-step explanation:

we know that

The volume of the triangular pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the triangular base

h is the height of the pyramid

In this problem we have

B=330\ yd^{2}

h=18\ yd

substitute in the formula

V=\frac{1}{3}(330)(18)=1,980\ yd^{3}

3 0
3 years ago
How do i solve this problem?
disa [49]
(4*3)+-4=8, this is just how to put it in the equation
6 0
3 years ago
HELP PLEAE GIVING BRAINLIEST! MEAN A LOT IF YOU HELP! :)<br> HELP SOLVE
Bumek [7]

Answer:

160

Step-by-step explanation:

Muliply both sides by 20/3 to get e=20/3*24=160

5 0
3 years ago
Read 2 more answers
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