1.What is the length of the altitude of an equilateral triangle with side lengths of 34 inches?

2. The bottom of a ladder must be placed 10 feet from a wall and reach a height of 16 feet. How long is the ladder?

I need help pls

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

Question One

It's equilateral. All three sides are equal. The base is 34 as well. So two right angles can be formed on the base by dropping the altitude from the top vertex.

Givens

altitude = h

a = 34/2 = 17

hypotenuse = 34

Formula

a^2 + h^2 = c^2

Solution

17^2 + h^2 = 34^2

289 + h^2 = 1156

h^2 +289 =1156

h^2 = 1156 - 289

h^2 = 867

sqrt(h^2) = sqrt(867)

h = 29.444

==============

Question Two

Givens

b = 10 feet

c = ?

height = h = 16

Formula

c^2 = b^2 + h^2

Solution

c^2 = 10^2 + 16^2

c^2 = 100 + 256

c^2 = 356

sqrt(c^2) = sqrt(356)

c = 18.87


Related Questions

What value of y makes the equation below true?
2y – 25 = 19
44
A
B
22
C
с
-3
oo
D
-6


Please hurry

Answers

Answer:

b

Step-by-step explanation:

2*22 = 44

44-25 = 19

Get it right and ill paypal 25$ if ur fast

Answers

ight what do i gotta answer tho

The sum of two numbers is fifteen. One number is five more than the other. Find the numbers.

Note: List numbers with a comma separating them, e.g. 5,12.

Answers

Answer:

5,10

Step-by-step explanation:

10 is 5 more than 5 therefore

5+10=15

Answer:

5,2,2,2,2,2

Step-by-step explanation:

2+2+2+2+2=10

10+5=15

Identify the method that will be used in solving for X
5+x=3/4
A• distributive property
B• multiplication property of equality
C• division property of equality
D• subtraction property of equality

Answers

Answer:D• subtraction property of equality

Step-by-step explanation:subtract 3/4  on both sides?????

D. Subtraction property of equality

Largest prime factor of 35 x the smallest prime factor of 15

Answers

Answer:

7x3=21 ... i think

Step-by-step explanation:

the factor of 35 is 1,5,7 and 35 but 7 is the largest prime number like the factors of 15 is 1,3,5 and 15 but 3 is the smallest prime number according to the question the answer is 7x3+21

Simplify.

7/8+(−2/3)
---------------
5/6

Enter your answer as fraction in simplest form by filling in the boxes.​

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{7}{8} + \frac{-2}{3}[/tex]= [tex]\frac{5}{24}[/tex]

[tex]\frac{5}{24}[/tex]÷[tex]\frac{5}{6}[/tex]=[tex]\frac{30}{120}[/tex]

[tex]\frac{30}{120}[/tex]=[tex]\frac{1}{4}[/tex]

Please give me Brainlest!

what is 9k + 1 = ─9 + 7k solved for the variable???

Answers

Answer:

k = -5

Step-by-step explanation:

The variable is k

9k + 1 = -9 + 7k

-7k        -1

2k = -10

2k/2  -10/2

k = -5

:)

u guys are very helpful <3​

Answers

35 degrees is the answer for x

Answer:

x=35

Step-by-step explanation:

70+75is 145

and a triangle is equal to 180 degrees

so 180-145 gives you 35 :)

I NEED HELP ... please help me.

Answers

∆STU= ∆EDC∆WVU=∆WNM

Step-by-step explanation:

here = means the similar triangle plz don't confuse. And 1. is proved by SSS axiom or SAS axiom and 2. is proved through SAS axiom will be much more better.

Answer:

1. ∆STU- 75

2. ∆WVU-55

3. 65+ 50 =115 -180= 65

Which histogram represents this data set?
47,48,49,50,50,54,54,55,57,59,61

Answers

Histogram b is the answer

Two angles of a triangle have the same measure and the third one is 30 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answers

Answer:

75 degrees

Step-by-step explanation:

Isosceles triangle with 3rd angle being 30 degrees:

2x + 30 = 180

2x = 150

X = 75

Ответ равен = 75 ниже фото

Wayne raked 30 bags of leaves in 3 hours. If he raked the same number of bags each hour, how many bags of leaves did he rake in 1 hour?

Answers

Answer:

he raked 10 bags each hour

30/3 = 10

10 bags each hour
He rakED

What is the difference between 43.68 - 40.67

Answers

It would be 3.01 because 40.00-40.00 is 0 then take away the other numbers 3.68- 0.67 is 3.01

What percent of 78 is 16?

Answers

Answer:

78/16=

39/8=

19.5/4= 4.80805

16 is 20.51% of the number 78.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let x percent of 78 is 16.

So, x% of 78 = 16

x/100 (78)= 16

78x = 1600

x= 1600/78

x = 20.51%

Hence, 20.51 percent of 78 is 16.

Learn more about Algebra here:

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HELP!!!!! will give brainliest to the right answer ​

Answers

Answer:

domain is x is an element of all real numbers, or {xer}, and the range is {3.5}

Step-by-step explanation:

since x stretches the whole way it is all real numbers, and y only touches one point on the graph so it has to be a single point

You plan to run 2 miles, but you only make it \frac{3}{4}
​4

​3
​​ of the way. How many miles did you run in total?

Answers

Answer:

1.5 miles

Step-by-step explanation:

A sweater originally priced at 80 dollars was marked down 25% what was the sale price of the sweater

Answers

Answer:

$60

Step-by-step explanation:

just is

daca stim cel mai mare divizor comun si cel mai mic multiplu comun,in ce mod aflam produsul? (raspunsuri troll iau raport) (troll answers will get reported)

Answers

Answer: i think this is romanian? so here is the answer in romanian

Pur și simplu, cel mai mare factor comun al lui a și b atunci când este înmulțit cu cel mai mic comun al lui a și b este egal cu produsul lui a și b ....

Puteți determina LCM de 12 și 16 folosind două metode

Step-by-step explanation:

CAN SOMEBODY PLEASE HELO ME!?!?!?

The radius of the unit circle is equal to_____.
•2π
•1
•2
•π​

Answers

Answer:

r =1

Step-by-step explanation:

The radius of unit circle is 1

Answer:

1

Step-by-step explanation:

You have a budget of $1,900 per week for employees. Employees are pald $11 per hour and work 40 hours per week.
Ignoring overhead, how many employees can you hire ?

Answers

 [tex]\boldsymbol{4}[/tex] employees were hired by the company.

Define unit method.

Amount of total budget [tex]=\$1,900[/tex]

Amount paid to an employee per hour [tex]=\$11[/tex]

Number of hours for which an employee worked per week [tex]=40[/tex]

So,

Total amount paid to an employee [tex]=11\times 40[/tex]

                                                          [tex]=\$440[/tex]

Number of employees hired [tex]=4.3[/tex]

                                               [tex]\approx 4[/tex]

So, [tex]\boldsymbol{4}[/tex] employees were hired by the company.

Find out more information about unit method here:

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Ignoring overhead, you can hire 4 employees.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You have a budget of $1,900 per week for employees.

Employees are paid $11 per hour and work 40 hours per week.

That means,

11 x 40 = $440 per week.

The number of employees = 1900/440

= 4.3

≈ 4

Therefore, 4 number of employees.

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Chang spent a total of $80 at the grocery store. Of this amount, he spent $36 on fruit. What percentage of the total did he spend on fruit?

Answers

Answer: 28 percent i believe

Step-by-step explanation:

Answer:

brandoncardona2007

Step-by-step explanation:

They are always right no matter what

How do you do this please explain!

Answers

Since 4 pastries is $10. Divide 10 by 4 to find out how much it cost per pastry.
10/4 = $2.5 per pastry

$2.5 * 9 pastries = cost
For 9 pastries, it cost $22.50

Plug it into the table :)

simply 8×4³+2×4⁴ giving you answer in the form of 4^b​

Answers

Answer:

4^5

Step-by-step explanation:

8×4³+2×4⁴

4×2×4^3+2×4^4

4^4×2+2×4^4

4^4(2+2)

4^4×4

4^5

So answer is 4^5

Help please here is a picture:

Answers

Answer:

2 1/3, 2 1/4, 2 3/7

Step-by-step explanation:

Mixed Fractions

Mixed fractions are made of an integer part followed by a proper fraction.

Some examples of mixed fractions are:

3 1/2, -4 5/8, 2 2/3

Between two consecutive integers a and a+1, there are infinitely many fractions. The centered number is a 1/2. Any number with its improper fraction part less than 1/2 is closer to a than to a+1.

In our problem, Jayne bought between 2 and 3 pounds of granola. We need to provide a mixed number that is closer to 2 pounds than to 3 pounds.

We can select any number with integer part 2 and a proper fraction less than 1/2.

Examples could be :

2 1/3, 2 1/4, 2 3/7

All of them are less than 2.5

A storage company designs a rectangular box with an open top that has a volume of 220 in3. Each box has a length that is three times its width. Calculate the minimum surface area of one of these boxes. Round your answer to three decimal places.

Answers

Answer:

191.016 in²

Step-by-step explanation:

Let the volume of the cube be V = lwh where l = length of box, w = width of box and h = height of box.

Now l = 3w.

So, V = lwh = (3w)wh = 3w²h

h = V/3w²

Since the rectangular box is open at the top, its total surface area is A = lw + 2lh + 2wh

substituting l = 3w, we have

= (3w)w + 2h(l + w)

= 3w + 2h(3w + w)

= 3w² + 2h(4w)

= 3w² + 8wh

substituting h = V/3w²

= 3w² + 8w(V/3w²)

A = 3w² + 8V/3w

Differentiating A with respect to w and equating it to zero, we have

dA/dw = d[3w² + 8V/3w]dw

dA/dw = d3w²/dw + d(8V/3w)/dw

dA/dw = 6w - 8V/3w²

dA/dw = 0

6w - 8V/3w² = 0

6w = 8V/3w²

6w³ = 8V/3

w³ = 8V/(3 × 6)

w³ = 4V/9

w = ∛(4V/9)

substituting V = 220 in³, we find the minimum value for the width

w = ∛(4 × 220 in³/9)

w = ∛97.7778

w = 4.607 in

To determine if this is a minimum value of width which gives minimum area, we take the second derivative of A. So,

d²A/dw² = d(6w - 8V/3w²)/dw

= 6 + 16V/3w³

substituting w³ = 4V/9, we have

d²A/dw² = 6 + 16V/3(4V/9)

= 6 + (16 × 9)/(3 × 4)

= 6 + 4 × 3

= 6 + 12

= 18

Since d²A/dw² = 18 > 0 , w = ∛(4V/9) = 4.607 in gives a minimum for the surface area.

So, we calculate this area by substituting w = 4.608 in. So,

A = 3w² + 8V/3w

= 3 × (4.607 in)² + (8 × 220 in³)/(3 × 4.607 in)

= 63.6733 in² + 1,760 in³/13.821 in

= 63.6733 in² + 127.3424 in²

= 191.0157 in²

≅ 191.016 in² to three decimal places.

Since the 1800s, fossil fuels have been used to meet the energy needs of many human activities.

Select TWO statements that describe what the scientists will observe in the ecosystem after fossil fuels have been extracted and burned.

Group of answer choices

There is more available space for carbon to become fossil fuels.

There is less carbon in storage.

There will be less carbon in the water.

There is more carbon in the atmosphere.

There will be more carbon respired by organisms.

There will be less carbon released through decomposition.

Answers

Answer:

Below.

Step-by-step explanation:

There will be more carbon in the atmosphere.

There is less carbon in storage.

Answer:

1. There is more carbon in the atmosphere.

2. There is more available space for carbon to become fossil fuels.

Step-by-step explanation:

When plants and animals die, their bodies, wood and leaves decays bringing the carbon into the ground. Some is buried and will become fossil fuels in millions and millions of years. Each year, five and a half billion tons of carbon is released by burning fossil fuels. Of this massive amount, 3.3 billion tons stays in the atmosphere. When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which contribute to the formation of smog and acid rain.

Which equations are equivalent? Select all that apply.

2n + 4n + 3 = 51
3n + 4 + 5n = 52
3(2n + 6) = 36
8n + 4 = 52
4(2n + 1) = 52

Answers

3n+4+5n=52, 8n+4=52, and 4(2n+1)=52

help pls- 10 points- algebra 1


solve for x

-8x+14 ≥ 60 OR − 4x+50 -2

D.) There are no solutions

Answers

Answer:

-8x+14 ≥ 60

Inequality Form:

x< -23/4

Interval Notation:

(−∞,−23/4)

is y=-2x proportional

Answers

Answer:

no

Step-by-step explanation:

Answer:

Yes, if you are referring to proportionality in general. No if you are referring to a direct proportionality.

Step-by-step explanation:

y = -2x is negatively proportional so it is not directly proportional because y or one quantity decreases when x or another quantity increases. In a directly proportional relationship, as one quantity increases another quantity must increase at the same rate, in other words both must increase thus be positive. When something is proportional it has a constant ratio, and relation.

Direct proportionality or variation is represented by y ∝ x, where ∝ is the symbol used to represent proportionality.

y = kx where k is the constant of proportionality.

Where k = y/x.


What is the equation for
7x - 4/y =10
in the form y = mx + b?

Answers

Answer:

Step-by-step explanation:

assume the equation is (7x-4)/y=10

10y= 7x-4 didvide both sides by 10

y= (7/10)*x - (2/5)

m=7/10

b=-2/5

The equation for 7x - 4/y =10 in the form y = mx + b . The equation in the form

[tex]\(y = mx + b\) is: \[y = \frac{4}{7x - 10}\][/tex]

To rewrite the equation in the form  we need to  [tex]\(y = mx + b\),[/tex]  isolate the term involving y on one side of the equation. Here's the step-by-step process:

Step 1: Add  [tex]\(\frac{4}{y}\)[/tex]  to both sides of the equation to isolate the 7x term on the left side:

[tex]\[7x = 10 + \frac{4}{y}\][/tex]

Step 2: Get rid of the fraction by multiplying both sides of the equation by y:

[tex]\[7xy = 10y + 4\][/tex]

Step 3: Now, we want to express  y alone on one side. To do this, subtract 10y  from both sides:

[tex]\[7xy = 10y + 4\][/tex]

Step 4: Factor out y on the left side:

[tex]\[y(7x - 10) = 4\][/tex]

Step 5: Finally, divide both sides by to solve for  [tex]\((7x - 10)\)[/tex]

[tex]\[y = \frac{4}{7x - 10}\][/tex]

Now, the equation is in the form where [tex]\(y = mx + b\), \(m\)[/tex] is the coefficient of x and b is the constant term. In this case,[tex]\(m = \frac{4}{7x - 10}\) and \(b\)[/tex]  is equal to 0.

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