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geniusboy [140]
3 years ago
15

In triangle KLM, LM =7 and m

Mathematics
2 answers:
hichkok12 [17]3 years ago
5 0

Answer:

KL=7√2

Step-by-step explanation:

LM=7

sin45°=LM/KL

√2/2=7/KL

KL=2*7/√2=14√2/2=7√2

KL=7√2

Radda [10]3 years ago
3 0

Answer:

7sqrt(2)

Step-by-step explanation:

LM squared is 49, and since the measure of angle K is 45, LM is equal to KM. So KM squared is also 49. 49+49=98. The square root of 98 is 7sqrt(2).

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What is the volume of a cylinder with a diameter of 20 meters and a height of 4 meters?
Aleks [24]

Answer:

1256.64 cubic meters

Step-by-step explanation:

4 0
3 years ago
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What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)
polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

f(x)=x^2+10x - 3

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

f(x)= ax^2+bx +c

By comparison;

a = 1\ b = 10\ and\ c = -10

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

x = \frac{-b}{2a}

Substitute 10 for b and 1 for a

x = \frac{-10}{2*1}

x = \frac{-10}{2}

x = -5

Substitute x = -5 in the given function;

y=x^2+10x - 3

y=(-5)^2+10*-5 - 3

y=25-50 - 3

y=-28

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

6 0
3 years ago
Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x)
tamaranim1 [39]

Answer:

Step-by-step explanation:

3x^{2}+x-3= x^{2} - 5x

combine like terms

3x^{2} +x^{2}= 4x^{2}

x -5x = -4x

then combine 4x^{2} and -4x

6 0
3 years ago
Help me find Sample variance and standard deviation
AnnZ [28]
First, find the mean. You'll need it to compute the variance.

\bar x=\displaystyle\frac15\sum_{i=1}^5x_i=\dfrac{21+10+6+7+11}5=11

The variance of the sample is then computed with the formula

s^2=\displaystyle\dfrac1{5-1}\sum_{i=1}^5(\bar x-x_i)^2=\dfrac{(21-11)^2+\cdots+(11-11)^2}4=\dfrac{71}2=35.5

The standard deviation is the square root of the variance, so

s=\sqrt{35.5}\approx5.958
5 0
3 years ago
Can't somebody help me math work please i need help
valentina_108 [34]

Answer:

TUP and PUQ

Step-by-step explanation:

Adjacent angles share a common vertex and common side, but don't overlap.

7 0
3 years ago
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