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3 years ago

Answers . Jzhidkdjdisnsjkdjdkshxkdbdksnxn

Mathematics

1 answer:

faltersainse [42]3 years ago

8 0

1 is 1: 4 equals 2:8

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What are the values of a and b?

ivann1987 [24]

Answer:

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

$\dfrac{a}{20}=\dfrac{20}{21}$ <em>cross multiply</em>

$21a=(20)(20)$ <em>divide both sides by 21</em>

$a=\dfrac{400}{21}$

For b, we can use the Pythagorean theorem:

$b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}$

3 0

3 years ago

Evaluate the indicated function for f(x) = x2 − 1 and g(x) = x − 2 algebraically. If possible, use a graphing utility to verify

Maru [420]

(F-g)(-2) is the answer

5 0

3 years ago

Help....................................DDDDDDDDDDDDDDDDDDDDDDDDDDD

m_a_m_a [10]

Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

$\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}$

$\frac{194}{WY}=\frac{BC}{1}= \frac{130}{WZ}$ --------(1)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

BC² = 20736

BC = 144

From equation (1)

$\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}$

$\frac{194}{WY}=\frac{144}{1}$

WY = $\frac{194}{144}$

WY = $\frac{97}{72}$ = 1.35

$\frac{144}{1}= \frac{130}{WZ}$

WZ = $\frac{130}{144}$

WZ = $\frac{65}{72}$ = 0.90

b). tan(A) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

= $\frac{144}{130}$

= $\frac{72}{65}$

Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure $\frac{72}{65}$ .

8 0

3 years ago

Carrie started work at 8 a.m. and left at 1:30 p.m. How many hours of work should she record on her time card for the day?

vagabundo [1.1K]

Start: 8 a. m.
Finish: 1 : 30 p.m. = 13 hours 30 minutes
13 h 30 min - 8 h = 5 h 30 min
She should record 5 hours and 30 minutes on her time card for the day.

5 0

3 years ago

Read 2 more answers

Each year the school purchases agendas, this year the school sold 350 agendas at the cost of $1.137.50. If the school wants a pr

choli [55]

If they sell the same amount next year and want to reach $1,500, they must higher the price. to do that, they can divide the $1500 by the number of agendas. Do the math yourself, its not very hard.

8 0

3 years ago