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3 years ago

What is the measure of X

Mathematics

1 answer:

Musya8 [376]3 years ago

8 0

Answer:

Step-by-step explanation:

The triangles' angles are congruent.

So,

J = H

67 = 67

I = K

X = X

Make the angles add

So,

46 + 67 = 113

Subtract from total

180 - 113 = 67

<h2><em><u>The angle is 67.</u></em></h2>

Hope this helped,

Kavitha

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Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 39 cm.

vesna_86 [32]

Answer

given,

work = 5 J

spring stretch form 30 cm to 39 cm

$W = \dfrac{1}{2}kx^2$

x = 0.39 - 0.30 = 0.09 m

$5 = \dfrac{1}{2}k\times 0.09^2$

$k = \dfrac{5\times 2}{0.09^2}$

k = 1234.568 N/m

a) work when spring is stretched from 32 cm to 34 cm

x₂= 0.34 -0.30 = 0.04 m

x₁ = 0.32 - 0.30 = 0.02

$W = \dfrac{1}{2}k(x_2^2-x_1^2)^2$

$W = \dfrac{1}{2}\times 1234.568 \times (0.04^2-0.02^2)^2$

W = 0.741 J

b) F = k x

25 = 1234.568 × x

x = 0.0205 m

x = 2.05 cm

3 0

3 years ago

HELPPP FOR BRIANLEST???!

dedylja [7]

Answer:

3/17

Step-by-step explanation:

multicolored and 1 passenger (3) over total (17)

3/17 doesn't simplify

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2 years ago

A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable

docker41 [41]

Answer:

The answer is below

Step-by-step explanation:

Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:

Y = 0.25x - 2

a) The mean is given as:

$\mu_y=E(Y)=E(0.25X-2) = 0.25E(X)-2\\\\But\ E(X)=mean\ of\ machine=125. Hence:\\\\E(Y)=0.25(125)-2=29.25\\\\E(Y)=\$29.25$

b) The standard deviation of y is:

$\sigma_y=var(0.25X-2)\\\\\sigma_y=0.25\sigma(X)\\\\but\ \sigma_X=7,hence:\\\\\sigma_y=0.25(7)=1.75\\\\\sigma_y=\$1.75$

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3 years ago

The radius of a circle is 8 kilometers . What is the diameter?

dimaraw [331]

Answer:

16 km

Step-by-step explanation:

the radius is half of the diameter

8 0

3 years ago

Read 2 more answers

Which one is it need help

jeka94

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ To understand this, you need to know one rule:

when indices are separated by parenthesis, they multiply

As per this rule, the correct option would be C

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

3 years ago