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3 years ago

Luisa's restaurant Bill comes to $75.50 and she leaves a 15% tip what is Luisa's total restaurant bill

Mathematics

1 answer:

Over [174]3 years ago

3 0

$86.62 would be the total after 15% tax.

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What is the answer to 6,711,325÷24=

Serhud [2]

Answer:

279638.5416666667

Step-by-step explanation:

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3 years ago

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10. On one night, a group of 9 rats carried away 45 kg of food. What is the reduced ratio of rats to food weight

GenaCL600 [577]

Answer:

Number of rats : Food weight = 1 : 5

Step-by-step explanation:

Number of rats in the group = 9

Weight of food carried away by them = 45 kg

Ratio of the number of rats and food weight = $\frac{\text{Number of rats}}{\text{Weight of food carried by the rats}}$

= $\frac{9}{45}$

= $\frac{1\times 9}{5\times 9}$

= $\frac{1}{5}$

Therefore, Number of rats : Food weight = 1 : 5

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3 years ago

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3 years ago

What is the solution of the equation 3x + x + 8 = 4? a. -1 c. 2 b. 1 d. 4

s344n2d4d5 [400]

Answer:

a. -1

Step-by-step explanation:

Simply the equation: 3x+x+8=4

1st step: 4x+8=4

2nd step: 4x=4-8

3rd step: x= $\frac{-4}{4}$

4th step: x= -1

5 0

3 years ago

Can you help me to solve this

stealth61 [152]

Answer:

$\text{Triangle 1:}\\\\x=30\sqrt{2},\\\\\text{Triangle 2:}\\x\approx 36.18,\\?\approx12.37$

Step-by-step explanation:

*Notes (clarified by the person who asked this question):

-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)

-The bottom side of the right triangle is marked with a question mark (?)

Triangle 1 (triangle on left):

Special triangles:

In all 45-45-90 triangles, the ratio of the sides is $x:x:x\sqrt{2}$ , where $x\sqrt{2}$ is the hypotenuse of the triangle. Since one of the legs is marked as $30$ , the hypotenuse must be $\boxed{30\sqrt{2}}$

It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:

$\cos 45^{\circ}=\frac{30}{x},\\x=\frac{30}{\cos 45^{\circ}}=\frac{30}{\frac{\sqrt{2}}{2}}=30\cdot \frac{2}{\sqrt{2}}=\frac{60}{\sqrt{2}}=\frac{60\cdot\sqrt{2}}{\sqrt{2}\cdot \sqrt{2}}=\frac{60\sqrt{2}}{2}=\boxed{30\sqrt{2}}\\$

Triangle 2 (triangle on right):

We can use basic trig for right triangles to set up the following equations:

$\cos 20^{\circ}=\frac{34}{x},\\x=\frac{34}{\cos 20^{\circ}}\approx \boxed{36.18}$ ,

$\tan 20^{\circ}=\frac{?}{34},\\?=34\tan 20^{\circ}\approx \boxed{12.37}$

We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:

$a^2+b^2=c^2$ , where $c$ is the hypotenuse of the triangle and $a$ and $b$ are two legs of the triangle.

Verify $34^2+(34\tan20^{\circ})^2=\left(\frac{34}{\cos20^{\circ}}\right)^2\:\checkmark$

3 0

3 years ago