The formula to find the area of a triangle is A = { bh where b=base and h=height. Rearrange the
equation to highlight b, the base of the triangle, in terms of the area and height.

I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.

Write 58 as the sum of the largest powers of 2 that you can:

58 = 32 + 26

58 = 32 + 16 + 10

58 = 32 + 16 + 8 + 2

58 = 2⁵ + 2⁴ + 2³ + 2¹

58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰

⇒   58₁₀ = 111010₂

To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.

10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰

10111₂ = 16 + 0 + 4 + 2 + 1

⇒   10111₂ = 23₁₀

#a

[tex]\\ \sf\Rrightarrow (58)_{10}[/tex]

[tex]\\ \sf\Rrightarrow (2+8+16+32)_{10}[/tex]

[tex]\\ \sf\Rrightarrow (2^1+2^3+2^4+2^5)_{10}[/tex]

[tex]\\ \sf\Rrightarrow 0(2^0) 1(2^1)+0(2^2)+1(2^3)+1(2^4)+1(2^5)[/tex]

[tex]\\ \sf\Rrightarrow (111010)_2[/tex]

#b

[tex]\\ \sf\Rrightarrow (10111)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+1\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+2+4+16[/tex]

[tex]\\ \sf\Rrightarrow (23)_{10}[/tex]

Step-by-step explanation:

1. x/3-2=6

x-6=18

x=18+6

x=24

2. x/5+1=5

x+5=25

x=25-5

x=20

Answer:

x = 24 , x = 20

Step-by-step explanation:

(a)

[tex]\frac{x}{3}[/tex] - 2 = 6 ( add 2 to both sides )

[tex]\frac{x}{3}[/tex] = 8 ( multiply both sides by 3 to clear the fraction )

x = 24

(b)

[tex]\frac{x}{5}[/tex] + 1 = 5 ( subtract 1 from both sides )

[tex]\frac{x}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )

x = 20

Answer:

-7

Step-by-step explanation:

Because the step in puting slope is respectly (x,y)

Step-by-step explanation:

C. in descending order by weight<br /><br />

Answer:

400 is the number

Step-by-step explanation:

Is means equals and of means multiply

60 = 15% * W

Change to decimal form

60 = .15W

Divide by .15

60/.15 = .15W/.15

400= W

Answer:

38.14 but if rounded up it becomes 38.15

Answer:

1. SSS

2. SAS

3. SAS

4. 1?

5. SSS

Step-by-step explanation:

Answer:

-162

Step-by-step explanation:

Answer:

your answer is -162

Step-by-step explanation:

if you owe someone 150 dollars and then you owe them another 12 dollars you'll owe them a total of 162 dollars. Your losing 162 dollars which is -162 form the amount that you have

Answer:

#9. y = -250x

#10. y = -2500, x = 100

Step-by-step explanation:

y = mx +b

y: y-value

m: slope

x: x-value

b: y-intercept

since your answer for #8 is -250, the slope would be -250 or m would be -250

y = -250x+b

now to solve for b, we take one of the points and plug it in, any works, but we'll use (1,-250)

plug in the points

-250 = -250(1)+b

solve for b

b = 0

thus the equation is y = -250x + 0 or y = -250x

#10 plug in x values and y values into equation to get answer

x = 10 -> y = -250(10) = -2500

y = -25,000 -> -25,000 = -250x

x = -25,000/-250

x = 100

Answer:

-6x-8

m^2y-3m

Step-by-step explanation:

For the first one we simply need to multiply both figures in the bracket by the outer number.

For the second one we do the same thing but as there is an "m" in the bracket and an "m" outside the bracket, this makes a square "^2" which is essentially a figure multiplied by itself.

Answer:

Alex walked more

Step-by-step explanation:

Jenna: 12/5= 2.4

alex: 15/6=2.5

Answer:I hope it helps to you it's so important to you right♡

The identity could be the missing step to verify the identity

(cosФ)(cscФ) = cotФis, (cosФ)(1/sinФ) = cotФ.

A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.

Any function that has a positive real integer p such that f (x + p) = f(x), with all x being real values, is said to be periodic.

We know, sin/cos = tan = 1/cot = cos/sin.

Given, (cosФ)(cscФ) = cotФ.

We know, sin = 1/csc.

Therefore,

(cosФ)(cscФ) = cotФ.

cosФ×1/sinФ = cotФ.

cosФ/sinФ = cotФ.

learn more about trigonometric identities here :

https://brainly.com/question/3785172

#SPJ7

Answer: 7r/3

Step-by-step explanation:

5r*7/15 = 35r/15 = 7r/3

hello! :p

area of shape one is 12

and area of shape to is 36

In not 100% sure but I thought I could try to help! Don't take my word for it though. :) Have a wonderful day!

Answer:

.......!!!!

I think so this is the. answer.....!!!

Hello! :p

[tex]\sqrt{-8}[/tex]  = [tex]2i\sqrt{2}[/tex]

[tex]\sqrt{-36}[/tex] = [tex]6i[/tex]

[tex]\sqrt{-5}[/tex] = [tex]i\sqrt{5}[/tex]

I hope you do well on your assignment! I also hope this helps! :)

Answer: No association

Step-by-step explanation:

There is absolutely no pattern going on. This means that the miles ran per week are not really affecting the standing heartbeat. Therefore, I'd say there is no association.

Answer:

1/2

Step-by-step explanation:

becase 1(0,0) 2(2,1) = 1/2

Answer:

2/-45

Step-by-step explanation:

5-1 = 4

4/-90 = 2/-45

Hope that helps

Answer:

$270

Step-by-step explanation:

So Big G gets a great deal on a sofa...$172.80...the original price has to be higher, right? He (? She?) got 36% off...This means that they DID NOT pay 36%, but they DID pay 64% (bc 36 + 64 = 100%)

SO, you need to change percents to decimals to work with them in an equation. Let p be the original price. Original price times 64% will equal the sale price.

.64p = 172.80

DIVIDE BY .64

p = 270

You can check it using the 36% ---

270 × .36 = 97.2

The discount is $97.20

270 - 97.20 = 172.80✅

The original price for Goran's sofa was $270.00

Answer: 13.5 bags

Explanation:

5 3/8 = 43/8

3 5/8 = 29/8

43/8 + 29/8 = 9

9 divided by 2/3 is 13.5

Hope this helps :)

Answer:

[tex]13 \frac{1}{2} [/tex]

Step-by-step explanation:

So first we can add the two snack together

So the

[tex]5 \frac{3}{8} + 3 \frac{5}{8} = 9[/tex]

Once we have that we can say 9÷2/3

And this will give us 13.5 or 13 and a half.

I really hope this helps

Answer:

24 units

Step-by-step explanation:

I dont know if im right but hope this helps!

The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

Given that,

The height of a tennis ball tossed into the air is modeled by,

[tex]\rm h(x) = 40x - 16x^2[/tex]

Where x is elapsed time in seconds.

We have to determine,

During what time interval will the tennis ball be at least 15 feet above the ground?

According to the question,

The height of a tennis ball tossed into the air is modeled by,

[tex]\rm h(x) = 40x - 16x^2[/tex]

Where x is elapsed time in seconds.

Then,

When the tennis ball be at least 15 feet above the ground,

[tex]h(x) = 15[/tex]

Substitute the value of h(x) in the equation,

[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]

Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,

[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]

Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.

For more details about Inequality refer to the link given below.

https://brainly.com/question/17177510

Step-by-step explanation:

6y>0-15 collect like term

6y=-15 calculate the difference

y=-15/6 convert to lowest form

y=-5/2

i hop it helps you ❤

Answer:

Step-by-step explanation:

A number is at least 65. It means the number n can be 65 or greater.

Its translation is:

The answer options don't have this included.

Let the number be n

Inequality:-

[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]

Answer: It is letter C. 1/22

Step-by-step explanation:

Change 2 3/4 to an improper fraction to get 11/4, then multiply 1/8 by the reciprocal of 11/4 which is 4/11.

1/8 x 4/11= 4/88

4/88 simplified = 1/22