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3 years ago

Find the value of z.

Mathematics

1 answer:

nataly862011 [7]3 years ago

8 0

Answer:

z = $\frac{50}{3}$

Step-by-step explanation:

The ratio of corresponding sides are equal, that is

$\frac{z}{10}$ = $\frac{20}{12}$ ( cross- multiply )

12z = 200 ( divide both sides by 12 )

z = $\frac{200}{12}$ = $\frac{50}{3}$

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Need help with question 15

GarryVolchara [31]

Answer:

$k=110$

Step-by-step explanation:

Part 15) we know that

$n=klog(A)$

Solve for k

That means ----> isolate the variable k

$k=n/log(A)$

we have

$n=440\ wolves$

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substitute

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3 years ago

Y=30w+200 please help me

marissa [1.9K]

Answer: That is the final answer, y=30w+200

Step-by-step explanation:

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3 years ago

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The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?

Stella [2.4K]

Answer:

x = 5, 2

Step-by-step explanation:

x^2 = 7x - 10

x^2 -7x + 10 = 0

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3 years ago

Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet

Irina18 [472]

The distance from Ship B to the signal fire at point C is $405.4 \mathrm{ft}$

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

$\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}$

Now, we shall solve the problem using the law of sines,

$\frac{\sin A}{a}=\frac{\sin C}{c}$

Substituting the values, we have,

$\frac{\sin 82^{\circ}}{a}=\frac{\sin 20^{\circ}}{140}$

$\frac{0.9903}{a}=\frac{0.3420}{140}$

Simplifying, we get,

$a=\frac{0.9903 \times 140}{0.3420}$

$a=405.4$

Thus, the distance from Ship B to the signal fire at point C is $405.4 \mathrm{ft}$

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3 years ago

Please help me! I really need it. ...You deposit 1500 every month starting today in an investment account but would withdraw 750

photoshop1234 [79]

Answer: multiply 750 and 12

Divide that by the 14%

Step-by-step explanation:

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2 years ago