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2 years ago

For questions 8 – 10, answer the questions about tangent-tangent angles.

Mathematics

1 answer:

olchik [2.2K]2 years ago

4 0

Answer:

m(arc ZWY) = 305°

Step-by-step explanation:

8). Formula for the angle formed outside the circle by the intersection of two tangents or two secants is,

Angle formed by two tangents = $\frac{1}{2}(\text{Difference of intercepted arcs})$

= $\frac{1}{2}(220-140)$

= $\frac{1}{2}(80)$

= 40°

9). Following the same rule as above,

Angle formed between two tangents = $\frac{1}{2}(\text{Difference of intercepted arcs})$

125 = $\frac{1}{2}[m(\text{major arc})-m(\text{minor arc})]$

250 = $[m(\text{arc ZWY})-m(\text{arc ZY})]$

250 = m(arc ZWY) - 55

m(arc ZWY) = 305°

Therefore, measure of arc ZWY = 305° will be the answer.

10). m(arc BAC) = $\frac{1}{2}([m(\text{arc BDC})-m(\text{arc BC})])$

= $\frac{1}{2}(254-106)$

= $\frac{148}{2}$

= 74°

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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for thi

EastWind [94]

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t. We are asked to find the vertex.

X-coordinate of vertex = $\frac{-b}{2a}$

Where 'a' is coefficient of $t^{2}$ term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex = $\frac{-80}{2(-16)}$

=-2.5

y-coordinate of vertex = $-16(-2.5)^{2} +80(-2.5)$

Simplify it,

=-100 -200

= -300

So, vertex is at (-2.5, -300).

4 0

3 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

yarga [219]

Answer:

Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

$0.05x+0.45y=1\times 0.15$

i.e $5x+45y=15$ -------------2

Putting value of x from equation 1 in equation 2,

$\Rightarrow 5(1-y)+45y=15$

$\Rightarrow 5-5y+45y=15$

$\Rightarrow 5+40y=15$

$\Rightarrow 40y=15-5=10$

$\Rightarrow y=0.25$

Putting the value of y in equation 1,

$x=1-0.25=0.75$

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

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3 years ago

Math (10 points) please help

Valentin [98]

Answer:

Part 1. 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.

Variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking job.

Part 2. The income from shift of work at the diner that is 50x, and the income from dog walking work that is 17y.

Part 3. The total income from the diner is given by 50x.

Step-by-step explanation:

Each week, Aubrey earns $50 for every shift he works at the diner and $17 for every dog-walking job.

He uses the expression (50x + 17y) to keep track of his earning.

Part 1. Here the coefficient of the expressions 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.

And the variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking jobs.

Part 2. Therefore, there are two terms in the expression, one is the income from the shift of work at the diner that is 50x and the other is the income from dog walking work that is 17y.

Part 3. The total income from the diner is given by 50x. (Answer)

7 0

2 years ago

D Cuales son cángulos agudo ?

nasty-shy [4]

Ángulo agudo es aquel que mide menos de 90º

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2 years ago

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IgorLugansk [536]

Answer:

4433

Step-by-step explanation:

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4 0

3 years ago

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