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2 years ago

Find the unknown angles

Mathematics

1 answer:

Shtirlitz [24]2 years ago

3 0

Answer:

Step-by-step explanation:

∠WZA + WZY = 180 {linear pair}

88 + ∠WZY = 180

∠WZY = 180 - 88

∠WZY = 92°

∠WXY + ∠WZY = 180 {Opposite angle in cyclic quadrilateral}

x + 92 = 180

x = 180 - 92

x = 88°

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A number is between 41 and 46 . it has prime factors of 2 and 11 what is the number

AfilCa [17]

44 because it goes into 2 and also goes into 11

4 0

2 years ago

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

$T=2\pi \sqrt{\frac{L}{32} }$

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$

Substitute T = 1.75 seconds and $\pi = 3.14$

$L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485$

Thus length of pendulum is 2.485 feet approximately

7 0

3 years ago

5x^2-26x+5 factor the trinomial

ss7ja [257]

The factored form for this question is (5x-1)(x-5)

4 0

3 years ago

A system of equations is shown below. Find the solution by using substitution.

ASHA 777 [7]

Answer:

a) $(-2, 0)$

Step-by-step explanation:

x + 2 = 3x + 6

-3x - 3x

___________

−2x + 2 = 6

- 2 - 2

_________

4 = −2x

_ ___

−2 −2

$-2 = x$ [Plug this back into both equations above to get the y-coordinate of 0]; $0 = y$

I am joyous to assist you anytime.

5 0

3 years ago

Of all college degrees awarded in the United States, 50 % 50% are bachelor's degrees, 59 % 59% are earned by women, and 29 % 29%

bazaltina [42]

Answer:

P(B|W)=0.5

Step-by-step explanation:

-Given that P(B)=0.5,P(B)=0.59 AND P(W)=0.29-Conditional probability is defined as the probability of one event occurring with relationship with one or more other events.

$P(B|W)=\frac{P(W)\times P(B)}{P(W)}\\\\=\frac{0.50\times0.29}{0.29}\\\\=0.5$

Hence, the conditional probability that a degree is earned by a woman, given that the degree is a bachelor's degree is 0.5

8 0

3 years ago