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1 year ago

A boat is heading towards a lighthouse,

Mathematics

1 answer:

larisa86 [58]1 year ago

4 0

Answer: 920.3 ft

Step-by-step explanation:

$\tan 7^{\circ}=\frac{113}{x} \\ \\ x(\tan 7^{\circ})=113 \\ \\ x=\frac{113}{\tan 7^{\circ}} \approx \boxed{920.3 \text{ ft}}$

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If z varies directly as x and z=30 when x=8 find z when x=4

dangina [55]

Z=kx, 30=8k, so k=30/8=15/4 and z=15x/4, so when x=4, z=15.

8 0

2 years ago

Find the values of x and y

ioda

X= 20 & Y= 70 in right-angled triangle .

What is right angle triangle?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees.
The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base make up the sides that the right angle is formed from.
The longest of the three sides, known as the hypotenuse, is the third side.

2X + 140 = 180

2X = 40°

X = 20°

X + Y = 90°

Y = 70°

Learn more about right-angled triangle

brainly.com/question/3770177

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4 0

4 months ago

Find gradient xe^y + 4 ln y = x² at (1, 1)

cricket20 [7]

$xe^y+4\ln y=x^2$

Differentiate both sides with respect to x, assuming y = y(x).

$\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}$

$\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x$

$\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

$e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

Solve for dy/dx :

$e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x$

$\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}$

If y ≠ 0, we can write

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}$

At the point (1, 1), the derivative is

$\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}$

4 0

2 years ago

Five cans for six dollars or eight cans for cans $10

antiseptic1488 [7]

If this is for a better deal if you made the prices the same so instead of 5 for six itd be 50 for $60 and 8 for $10 would be 48 for $60 obviously 5 for 6 is the best choice. thats just how i was taught i hoped this helps

5 0

2 years ago

If two angles are complementary they add up to

MArishka [77]

Answer:

90 degrees

I hope this helps!

3 0

2 years ago