For what value of x can the given lengths
be side lengths of a right triangle?
28, x, 53

Answers

Answer 1

Answer:

45

Step-by-step explanation:

The formula for finding the longest size of a right angle is

[tex]c^{2} = a^{2} + {b}^{2}[/tex]

a = 28, b = ? and c = 53;

Therefore, if you make b the subject of the formula, you will have

[tex]b = \sqrt{ {c}^{2} - {a}^{2} } [/tex]

And after plugging the value of c=53 and a=28, b is gotten to be 45


Related Questions

PLEASE HELP 30 POINTS

Solve the equation.
60% of 45 =
25% of 80 =
16% of 40 =

Answers

Answer:

60% of 45 =  0.6 × 45 = 27

25% of 80 =  0.25 × 80 = 20

16% of 40 = 0.16 × 40 = 6.4

1. 27
2.20
3.6.4

hajahahahhah pls

30 points!

Either Table C or Table D shows a proportional relationship.

Plot all the points from the table that shows a proportional relationship.

Table C

x 3 4 5 6
y 1 2 3 4

Table D

x 2 4 8 10
y 1 2 4 5

Answers

Answer:

Its D

Step-by-step explanation:

Espero que tengas un gran día amigo

If a scale factor of One-fifth is used to make a reduction, what is the base of the original triangle?


Original triangle
Reduced triangle
Height

3
Base

5
1
10
15
25

Answers

Answer: the answer is d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Albert makes 20 kg of sweets in 5 weeks. If he continued to make sweets, how much would he have after 10 weeks?

Answers

Answer:

he will have 40 kg

Step-by-step explanation:

10:5=2

20 x 2 = 40

Joes family is planning a kayaking trip. Kayak Place charges a base fee of $15 plus $4.50 per hour. Kayak Store charges a base fee of $12.50 plus $5 per hour. Write an expression for each Kayak rental. Select all that apply.

Answers

Answer:

15+4.50x,    12.50+5x

Step-by-step explanation:

Complete the table to investigate dialations of exponential functions.

Answers

Answer:

a = 1, b = 3, c = 1, d = 2, e = 6, and f = 8

Step-by-step explanation:

The given exponential functions are;

2ˣ, 3·2ˣ, and  [tex]2^{3 \cdot x}[/tex]

Let f(x) = 2ˣ, h(x) = 3·2ˣ, and g(x) = [tex]2^{3 \cdot x}[/tex]

From the table for investigating the dilations of exponential function, we have;

a = f(0) = 2⁰ = 1

b = h(0) = 3·2⁰ = 3 × 1 = 3

c = g(0) = [tex]2^{3 \times 0}[/tex] = 2⁰ = 1

d = f(1) = 2¹ = 2

e = h(1) = 3·2¹ = 3 × 2 = 6

f = g(1) = [tex]2^{3 \times 1}[/tex] = 2³ = 8.

3.2 less than a number m

Answers

Answer:

m-3.2

Step-by-step explanation:

What was the question tho?

During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Find the quotient. Explain what the quotient would mean in each of the two interpretations you described. Consider the division expression 712÷2 7 1 2 ÷ 2 . Select all multiplication equations that correspond to this division expression. 2⋅?=712 2 ⋅ ? = 7 1 2 712⋅?=2 7 1 2 ⋅ ? = 2 2⋅712=? 2 ⋅ 7 1 2 = ? ?⋅712=2 ? ⋅ 7 1 2 = 2 ?⋅2=712

Answers

The second question:

Consider the division expression [tex]7\frac{1}{2} / 2[/tex]. Select all multiplication equations that correspond to this division expression.

[tex]2 * ? = 7\frac{1}{2}[/tex]     [tex]7\frac{1}{2} * ?= 2[/tex]     [tex]? * 2 = 7\frac{1}{2}[/tex]

[tex]2* 7\frac{1}{2} = ?[/tex]    [tex]? * 7\frac{1}{2} = 2[/tex]

Answer:

1. See Explanation

2. [tex]2 * ? = 7\frac{1}{2}[/tex]     and     [tex]? * 2 = 7\frac{1}{2}[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex]Students = 60[/tex]

[tex]Group = Equal\ Sized[/tex]

Required

Interpret [tex]\frac{60}{5}[/tex] in 2 ways

Interpretation 1: Number of groups if there are 5 students in each

Interpretation 2: Number of students in each group if there are 5 groups

Solving the quotient

[tex]Quotient = \frac{60}{5}[/tex]

[tex]Quotient = 12[/tex]

For Interpretation 1:

The quotient means: 12 groups

For Interpretation 2:

The quotient means: 12 students

Solving (b):

Given

[tex]7\frac{1}{2} / 2[/tex]

Required

Select all equivalent multiplication equations

Let ? be the quotient of t [tex]7\frac{1}{2} / 2[/tex]

So, we have:

[tex]7\frac{1}{2}/2 = ?[/tex]

Multiply through by 2

[tex]2 * 7\frac{1}{2}/2 = ? * 2[/tex]

[tex]7\frac{1}{2} = ? * 2[/tex]

Rewrite as:

[tex]? * 2 = 7\frac{1}{2}[/tex]  --- This is 1 equivalent expression

Apply commutative law of addition:

[tex]2 * ? = 7\frac{1}{2}[/tex]  --- This is another equivalent expression

On the swim team, for every 10 girls there are 7 boys. If there are 21 boys on the swim team, how many girls are there?

Answers

Answer:

30 girls

Step-by-step explanation:

Every 10 girls there are 7 boys.

So if there are 3 groups of 7 boys, there will be 30 girls.

Check:

10 girls: 7 boys

+10 girls: 7 boys

+10 girls: 7 boys

= 30 girls: 21 boys

The length of a rectangle is 5 more than the side of a square, and the width of the rectangle is 5 less than the side of the square. If the area of he square is 45, what is the area of the rectangle

Answers

Answer:

20

Step-by-step explanation:

Given :

Length = l

Width = w

Area of square = 45

Let side of square = x

Area of square = x²

45 = x²

√45 = x

l of rectangle = x + 5 = √45 + 5

w of rectangle = x -5 = √45 -5

Area of rectangle= l * w

Area = (√45 + 5) * (√45 - 5)

Area = 45 - 5√45 + 5√45 -25

Area = 45 -25

Area of rectangle = 20

What is the value of KL

Answers

Answer:

40.5

Step-by-step explanation:

Since the centroid (the point of concurrency of the sides of a triangle) divides the 3 medians into the ratios from the point to the centroid to the centroid to the side into the ratio of 2:1. To find PK divide 27 by 2

27/2=13.5

Then add 27 and 13.5 to get KL

27+13.5=40.5

You bought 8 bags of dog food and 2 boxes of dog treats for a total of $135. Your friend bought 6 bags of dog food and 4 boxes of dog treats for a total of $110. Each bag of dog food costs the same amount. Each box of dog treats costs the same amount. Write a system of equations, then find the cost of one bag of dog food.

Answers

Answer:

8f + 2t = $135 - - (1)

6f + 4t = $110 - - (2)

$16

Step-by-step explanation:

Given that:

f = dog food

t = dog treat

8f + 2t = $135 - - (1)

6f + 4t = $110 - - (2)

From (1)

4f + t = 67.5

t = 67.5 - 4f

Put t = 67.5 - 4f in (2)

6f + 4(67.5 - 4f)= 110

6f + 270 - 16f = 110

-10f = 110 - 270

-10f = - 160

f = 16

One bag of dog food = $16

1. Which ratio is equivalent to 3:9?
24.54
18:54
36.81

Answers

Both 9/3 and 54/18 come out to 3, so your answer is:

18:54

Answer:

18:54

Step-by-step explanation:

We have to simplify these ratios.

If the most simplified form of the ratios are equal, they are equivalent

3:9

24:54

18:54

Same ratio as 3:9, so 18:54 is equivalent to 3:9

36:81

I need help with this please. :)

Answers

Answer:

64x³+4

-------------

2x-1

Step-by-step explanation:

I hope this helps. :)

Can someone please answer these there due today in math
1.)3c + 8= 29
2.)12/c - 6=78
3.) -20 = -4x - 6x
4.) -4 (3 + 4K) = 52
5.) -45 = -3(4x - 1)

Answers

1. c=7
2. c=1/7
3. x=2
4. K=-4
5. x=4

The area of a rectangular field is 5695 m².
If the width of the field is 67 m, what is its length?

Answers

Answer:

85 m

Step-by-step explanation:

5696/67=85

Sid has £5 to buy apples and bananas.

He uses his money like this:
He buys 18 apples.
Then he buys as many bananas as possible.
With his change he buys more apples.

How many apples and bananas does he buy?

(Apples=6p Each)
(Bananas= 40p Each)

Answers

Here is the answer:
Bananas = 9 and Apples = 22

Explanation below -

Step-by-step explanation:

cost of 18 apples= 18x6p= 108p

£5-108p= x (will let it be x since i do not know the conversion)

maximum number of banana he can buy= x divide by 40p (rounded down to smallest whole number)= b

The change he have= x-(40×b) = y

apples bought with change= y divide by 6p= a

do the working above to find value for a and b, add a to the 18 apples bought initially and b is number of banana

write in word form 329.080 in word formwrite in word form 329.080 in word form

Answers

Answer:

Three Hundred Twenty-nine and Eighty Thousandths.

Is the equation a function?

Answers

Answer:

I do so believe the equation is a function

Step-by-step explanation:

if im wrong im so sorry

No
:) hope this helps!!

Write the equation of the line that passes through the point (-9,10) and is parallel to the y axis

Answers

Answer:

         y = 10

Step-by-step explanation:

The equation of any line parallel to the y axis is y = y₀

where y₀ is the y-coordinate of any point from the line

(and the y-intercept of the line)

easy brainliest 2+2/-2

Answers

it’s 1 because of pemdas, you divide 2/-2 first

Please help! Due today!!

Answers

Answer:

l

Step-by-step explanation:

...sorry by any chance if the answer is wrong

function or not a function?

Answers

Not a function, because it does not pass the vertical line test.

Answer:

Not a function

Step-by-step explanation:

You draw lines going down the graph and if any of those lines have more than one point then it is not a function.

A boat is traveling at a constant speed. In 10 hours, the boat travels 160 miles. How many hours will it take the boat to travel 24 miles?

Answers

1 hour, 32 min, HAHAHA not sure.

Answer:

1 hour and 30 minuets

Step-by-step explanation:

Math help find the rise.

Answers

Answer:

-16

Step-by-step explanation:

The equation for a slope is rise/run. You know from the question that the slope is -4/5 in its simplest form. However, the run in its original form is 20.

So if the run is 5 in its simplest form, but 20 in its original form, then this means the slope must have been simplified by dividing both the original rise and the original run by 4, because 20/4 = 5.

That also means we can find out the original rise by doing the inverse of what we did above. We can multiply the rise in its simplest form by 4 to get the original. That gives us -16 (because -4*4 = -16).

The rational number -21/28 in standard form is
a) -3/4
b) 3/4
c) 3/7
d)-3/7

Answers

Answer:
-3/4

Explanation:
-21 and 28 are both multiples of 7. Divide the numerator and denominator by 7 to simplify it.

-21/28
= -3/4

I hope this helps!

What is 30-20-65+10+4=

Answers

Answer:

-41

Step-by-step explanation:

Can you please help

Answers

Answer:

The answer to the question provided is

[tex] \frac{9}{5} [/tex]

Step-by-step explanation:

T

1) Supposed that you have an account with the overdraft
protection. Your account balance is $40.00, you spend
$85.00 at a grocery stores. The bank charge you $30.00
every time you overdraft the account. What is your
account balance after the overdraft and the bank fee?
A) -$60.00
B) -$75.00
C) -$80.00
D) -$70.00

Answers

Answer:  B) -$75.00

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

Explanation:

Draw a vertical number line. Plot 40 on this line. Then move down 85 units to arrive at 40-85 = -45. The negative indicates that you're in debt.

Then move down another 30 due to the overdraft fee and we have -45-30 = -75 as the bank balance.

-------------------

Put another way:

Start at $40. If you spend $40, then your balance is $0. You need to spend another $45 to get all of the groceries (since the grocery bill is 40+45 = 85 dollars). That's where the -45 comes from, to indicate you're 45 dollars in debt. This is before the overdraft fee kicks in. Adding on that fee gets a total debt of 45+30 = 75 dollars. So that's why the final balance is -75 dollars.

-75 is the answer because 40+-85+-30=-75

A woman has a ladder that is 10 feet long. If she sets the base of the ladder on level ground 8 feet from the side of a house, how many feet above the ground will the top of the ladder be when it rests against the house?
1. 2
2. 5
3. 8
4. 6

Answers

Answer:

2 feet extra

Step-by-step explanation:

so if you do common subtraction 8-10is 2 so here is 2 feet over her house

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