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3 years ago

How do you solve this problem In geometry?

Mathematics

1 answer:

JulsSmile [24]3 years ago

6 0

The 2 smaller triangles are similar. Thus, y is to z as x is to 4. You need 3 such ratios to find the 3 unknowns. Could you try your hand at writing 1 more ratio based upon the illustration?

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Which expression is equivalent to -8(10x-3)<br> (SHOW WORK)

oksian1 [2.3K]

Answer:

240

Step-by-step explanation:

-8(10×-3)

(10×3)=30

30×-8=240

4 0

3 years ago

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

3 years ago

Given the points a to zero 8, 0 what scale factor is applied to the create this change

Ganezh [65]

Answer:

Step-by-step explanation:

(2, 0) to (8, 0) is a 4/1 scale factor because 8/2 = 4

6 0

3 years ago

Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrationa

mote1985 [20]

Answer:

5.3

Step-by-step explanation:

3 0

2 years ago

The average weight of a group of seven boys is 56 kg. The individual weights (in kg) of 6 of them are 52,57,55,60,59 and 55. fin

garik1379 [7]

Answer:

54 kg

Step-by-step explanation:

Total weight of 7 boys is 392 kg. And other 6 boys total weight is 338 kg.

So the 7th boy's weight is (392-338)=54 kg

7 0

3 years ago

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