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3 years ago

If a person weighs 130 Ibs and they lose 1/10 of their weight.How much weight was lost

Mathematics

1 answer:

vampirchik [111]3 years ago

8 0

Answer:

13 lbs

Step-by-step explanation:

to find 1/10 we divide by 10

This can be found by moving the decimal back by one

So 130/10=13

13 lbs were lost

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<span>Using the formula above, your merit increase will be 2.5%. You received a score of 3.4 on your annual review. Since the merit increase model is 0.5% salary increase at a score of 2.6, with an additional 1% for every .4 points above that baseline, you get 2.5%, which is the baseline of 0.5% + 2% for the 0.8 points you scored above that baseline.</span>

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3 years ago

The measures of the angles of ABC are in the ratio 1:3:5 what are the measures of the angles?

Mumz [18]

The measurement of angles are: 20°, 60° and 100°

Step-by-step explanation:

Let x be the first angle

Then according to the ratio

1:3:5

The angles will be x,3x,5x

We know that the sum of interior angles of a triangle is 180 degrees

So,

$x+3x+5x = 180\\9x = 180$

Dividing both sides by 9

$\frac{9x}{9} = \frac{180}{9}\\x = 20$

The angles are:

First angle = x = 20°

Second angle = 3x = 3*20 = 60°

Third angle = 5x = 5*20 = 100°

Hence,

The measurement of angles are: 20°, 60° and 100°

Keywords: Sum of angles, triangles

Learn more about triangles at:

#LearnwithBrainly

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3 years ago

You want to work out the distance you have travelled on your bike so far. In total, you have travelled 600 km. You believe that

CaHeK987 [17]

Answer:240 km

Step-by-step explanation: 600 ÷5 = 120, 120 × 2 = 240 km

I think that's the answer I'm not sure but hope this helps ;)

8 0

3 years ago

Part 3. Identify the vertex, focus, and directrix of each. Then sketch the graph.

Yuliya22 [10]

Answer: $\bold{1.\quad \text{Vertex}=(-1,5)\qquad \text{Focus}=\bigg(-\dfrac{3}{2},5\bigg)\qquad \text{Directrix}:x=-\dfrac{1}{2}}$

$\bold{2.\quad \text{Vertex}=(-4,-1)\quad \text{Focus}=\bigg(-4,-\dfrac{1}{4}\bigg)\qquad \text{Directrix}:y=-\dfrac{7}{4}}$

<u>Step-by-step explanation:</u>

The vertex form of a parabola is x = a(y - k)² + h or y = a(x - h)² + k

(h, k) is the vertex

$\bullet\quad a=\dfrac{1}{4p}$

p is the distance from the vertex to the focus
-p is the distance from the vertex to the directrix

$x=-\dfrac{1}{2}(y-5)^2-1\qquad \rightarrow \qquad a=-\dfrac{1}{2}\quad (h,k)=(-1,5)\\\\a=\dfrac{1}{4p}\qquad \rightarrow \quad -\dfrac{1}{2}=\dfrac{1}{4p}\qquad \rightarrow \quad-2=4p\qquad \rightarrow \quad-\dfrac{1}{2}=p\\\\\\\text{Focus = Vertex + p}\\\\.\qquad =\dfrac{-2}{2}+\dfrac{-1}{2}\\\\.\qquad =-\dfrac{3}{2}\qquad \rightarrow \qquad \text{Focus}=\bigg(-\dfrac{3}{2},5\bigg)\\$

$\text{Directrix: x = Vertex - p}\\\\.\qquad \qquad x=\dfrac{-2}{2}-\dfrac{-1}{2}\\\\.\qquad \qquad x=-\dfrac{1}{2}$

***********************************************************************************

$y=\dfrac{1}{3}(x+4)^2-1\qquad \rightarrow \qquad a=\dfrac{1}{}\quad (h,k)=(-4,-1)\\\\a=\dfrac{1}{4p}\qquad \rightarrow \quad \dfrac{1}{3}=\dfrac{1}{4p}\qquad \rightarrow \quad3=4p\qquad \rightarrow \quad\dfrac{3}{4}=p\\\\\\\text{Focus = Vertex + p}\\\\.\qquad =\dfrac{-4}{4}+\dfrac{3}{4}\\\\.\qquad =-\dfrac{1}{4}\qquad \rightarrow \qquad \text{Focus}=\bigg(-4,-\dfrac{1}{4}\bigg)\\$

$\text{Directrix: y = Vertex - p}\\\\.\qquad \qquad y=\dfrac{-4}{4}-\dfrac{3}{4}\\\\.\qquad \qquad y=-\dfrac{7}{4}$

4 0

3 years ago

I really need some help

matrenka [14]

7. 1/3(9x + 18) = 3x + 6 each side is 3x + 6

8. 5x+20 does NOT equal 5(x+20) because 5(x+20) = 5x + 100

9. Perimeter= 4n, Area= n squared

10. ( left to right) 4, 2a, b

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3 years ago