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2 years ago

Y-5=1/2(x-2) slope intercept form

Mathematics

1 answer:

solong [7]2 years ago

3 0

Answer:

y=1/2+4

Step-by-step explanation:

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In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.

lawyer [7]

Answer:

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73= $\frac{p}{h}$

3.27= $\frac{yz}{xy}$

3.27×[xy]=yz

xw+wy= $\frac{yz}{3.27}$

wy= $\frac{yz}{3.27}$ -80...........(1)

again

In right angled triangle WYZ

Tan 80= $\frac{yz}{wy}$

5.67×wy=yz

wy= $\frac{yz}{5.67}$

yz=5.67×wy............................................(2)

Equating equation 1&2

$\frac{yz}{5.67}$ = $\frac{yz}{3.27}$ -80

$\frac{yz}{3.27}$ - $\frac{yz}{5.67}$ =80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz= $\frac{1483.272}{2.4}$

yz=618.03

:.y=618.03unit.the length of ZY to the nearest 100th is 618.

8 0

2 years ago

Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.

bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

$cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Substitute $sin(\theta)=\frac{6}{11}$ into the first equation, solve for the cosine and simplify. Then, you obtain:

$cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}$

As $sec\theta$ then $cos\theta$ :

$cos(\theta)=-\frac{\sqrt{85}}{11}$

Now we can find $tan\theta$ :

$tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}$

4 0

2 years ago

Read 2 more answers

Mrrafil [7]

Answer:

£510

Step-by-step explanation:

Simple interest = (principal × rate × time) / 100

Principal = £1700

Rate = 10%

Time = 3 years

Simple interest = (principal × rate × time) / 100

= (1700 × 10 × 3) / 100

= 51,000/100

= 510

Simple interest = £510

7 0

2 years ago

Using Cavalieri's Principle, what is the general formula for the volume of a cone?

Anit [1.1K]

Answer:

The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.

Step-by-step explanation:

So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.

4 0

2 years ago

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. The profit from selling x shirts

oee [108]

Answer: option A is the correct answer.

Step-by-step explanation:

The expression that relates revenue, profit and cost is

Profit = Revenue - Cost

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. Therefore,

p(x) = r(x) - c(x)

p(x) = 11x - (6x + 20)

By expanding the bracket, the minus sign will alter each term in the bracket. Therefore,

p(x) = 11x - 6x - 20

p(x) = 5x - 20

8 0

2 years ago