Suppose the hypotenuse of a right triangle is 13 cm and one of the legs is 10 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg.

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Pythagorean rule

[tex]hyp = opp + adj \\ therefore. \\ opp = hyp - adj \\ and \\ adj = hyp - opp[/tex]

opp=13-10

opp=3


Related Questions

if 1/3 of a number is added to 1/5 of the same number.the result is 8. find the number. I am​

Answers

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

What percentage of the data values falls between the values of 27 and 45 in the data set shown?
VX
25
30
35
40
45
50
25%
O 50%
оооо
O 75%
100%

Answers

Answer:

75%

Step-by-step explanation:

Looking at the plot, we can see that the number 27 represents the minimum value while the number 45 represents the upper quartile

Between the minimum value and the upper quartile, there is 75% of all the values on the plot

So, we can conclude that between the numbers 27 and 45, we have 75% of all the data values present.

Kindly note;

There are five points in a box plot

minimum

lower quartile (0-25%)

Median (0-50%)

Upper quartile (0-75%)

Maximum number (0-100%)

The length of a rectangle is 5 less than
the width. Which polynomial describes
the area of the rectangle?

Answers

Answer:

Let length = x

Let width = x + 5

Let Area = A

A = x(x + 5)

A = x2 + 5x

What is the first step in solving for w in the equation 3W + 5 = 14?

Answers

subtract 5 from both sides so that you can can 3W by itself and then you divide both sides by 3W and you should get w=3

A room has a length of 12 metres and width of 5 metres. What is the area of the room?
Working out please

Answers

Answer:

60 sq.m

Step-by-step explanation:

Given,

Length of the room = 12m

Width of the room = 5m

Therefore,

Area of the room = l × w

= 12m × 5m

= 60 sq.m (Ans)

5 - 2x^2 = -15 solve the question using inverse operations

Answers

Answer:

x= √10 and x= -√10

Step-by-step explanation:

first look to isolate the term with the variable on one side

-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)

-2x² = -20; divide both sides by -2 (inverse of multiplication)

x² = 10; square root both sides (the inverse of raising to power of 2)

√x² =√10

x =±√10

Find the missing side of the triangle and leave the answer in simplest radical form

Answers

Answer:

it would be radical 7

15 = x²+ 8

x²= 15 - 8

x²= 7 >>>>> radical 7 = x

Step-by-step explanation:

hope it helps

Answer:

x = √7.

Step-by-step explanation:

Using the Pythagoras theorem:

x^2 = (√15)^2 - (2√2)^2

x^2 = 15 - 8

x = √7.

x² + 8x + 16 =

I need the steps and the answer
and the box ​

Answers

Answer:

The answer is (x+4)

Step-by-step explanation:

Just write the expression as a product with the factor x and 4

x²+2×x×4+4+16

then write the number in the exponential form with an exponent of 2

x²+2×x×4+4²

then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)

A. write the ratio of girls to boys in the class with 12 girls and 15 boys. reduce to the lowest terms.
B. use the information from part A to estimate the number of girls in the school if there are a total of 1350 students in the whole school and in part A is representative of all classes in the school
WILL GIVE BRAINLIEST

Answers

Answer:

A. 4:5

B. 600 girls

Step-by-step explanation:

A. g : b = 12 : 15 = 4 : 5

B. the numbers of girls = 4/(4+5) × 1350

= 4/9 × 1350 = 600

A) m + n
B) 0
C) m - 1
D) -(m+n)

Answers

Answer:

D

Step-by-step explanation:

Lsh=rhs

U solve using algebra

A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it​

Answers

Answer:

A = 4a² - 4ab + b²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ) , so

A = (2a - b)² ← expand using FOIL

   = (2a)² - 2ab - 2ab + (- b)²

   = 4a² - 4ab + b²

Help!! Stuck on math problem!
Fast answers are appreciated, thanks :)
The graph of the function has a vertical asymptote of x = ______
The graph of the function has a horizontal asymptote of y = ______

Answers

Vertical Asymptotes:
x=0
x=0
Horizontal Asymptotes:
y=0
y=0
No Oblique Asymptotes

Find the value of x if necessary you may learn what the marking on a figure indicate

Answers

Answer:

Step-by-step explanation:

Can you please help. Evaluate angles d and e, giving reasons for your answer. ​

Answers

Answer:

<d = 25 degrees and <e = 130 degrees

Step-by-step explanation:

We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.

<d = 25 degrees

The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:

<e = 180 - 25 - d

<e = 155-25

<e = 130 degrees

Answer:

<d = 25 degree and <e = 130 degree

Step-by-step explanation:

Let <d, <e and <f be the respective angles

<f = 25 degree (Vertically opposite angles are equal)

side fe = side ed (given)

Therefore, <f = <d (angles opposite to equal sides are equal)

Therefore, <d = 25 degree

<d + <e + <f = 180 degrees (Angle sum property)

25 + 25 + <e = 180

50 + <e = 180

<e = 180 - 50

<e = 130 degree

Therefore, <d = 25 degree and <e = 130 degree

Hope u understood

Please mark as brainliest

Thank You

I really need help, please.

Answers

I gotchu :)
7.
y=118, z=15, because when 2 shapes are similar, the ratios of the sides relative to each other remain the same, and the angles also remain the same. This property can be used to solve the rest of the questions
8.
15*2/3=10
9.
Always
10.
Sometimes

Una escalera de 10 metros de longitud esta apoyada sobre la pared. El pie de la escalera dista 6 metros de la pared. ¿ que altura alcanza la escalera sobre la pared?

Answers

Answer:

The height reached by the ladder is 8 m.

Step-by-step explanation:

A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?

Length of ladder, L = 10 m

foot of ladder, D = 6 m

Let the height reached is H.

[tex]L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m[/tex]

https://hegartymaths.com/assessment
Several points are given on the graph below.
a) A, B and C are three corners of a rectangle.
Write the coordinates of the other corner.
b) C, D and E are three vertices of a rhombus.
Write the coordinates of the other vertex.
5 ty
А.
В.
4
.
3
2
1.
-5
-4
-3
-1
2
3
4
-2
E
5
-1
D.
-2
-3
-4
-5

Answers

Answer:

??????????

Step-by-step explanation:

Answer:

need more clarification

Step-by-step explanation:

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What is the center of the circle shown below?

Answers

Answer:

L

Step-by-step explanation:

Here, we want to get the circle center

The diameter is a chord that passes through the center of the circle

looking at the given diagram, we can see chords SM and MN

Between this two, we can see that it is SM that passes through the center

Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes

Can someone help me please

Answers

Answer:

yes what would u like help with

find the perimeter of this figure to the nearest hundredth. Use 3.14 to approximate π.​

Answers

Answer:

P = 40.56 ft.

Step-by-step explanation:

Answer:

40.56

Step-by-step explanation:

Write 2.073 in expanded form.

Answers

Answer:

2 + 0.0 + 0.07 + 0.003

Step-by-step explanation:

Pretty much just adding the whole number and decimal.

2 (whole number) + 0.073

Expanded forms require showing which place the numbers are in (i.e. 0.07 is the hundredths place)

Solve the equation. Round to the nearest thousandth.
[tex] - 5 + 2ln(3x) = 5[/tex]

Answers

Answer:

[tex] x \approx \: \boxed{49.471}[/tex]

Step-by-step explanation:

[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]

Answer:

x= e^ 5 / 3 OR 49.471

Step-by-step explanation:

-5=2In (3x)=5

determine the defined range

-5+2In (3x) = 5, x>0

move the constant to the right- move the five to the right and change the sign

2In (3x)= 5+5

calculate- add them together

2In (3x)=10

divide both sides by 2

In (3x)=5

covert into exponential form ( x=e^5)

3x= e^5

divide both sides by 3

x=e^5/3 , x> 0

(check if the solution is in the defined range) which is the answer

34. Find the mean for the following data X F 10 3 12 5 14 4 16 5 18 3​

Answers

Answer- 9 you have to add all the numbers together then divide but the amount of numbers there are

Which is the graph of the system x + 3y > -3 and y < 1/2x + 1

Answers

Answer:

4th graph

Step-by-step explanation:

x + 3y > -3

3y > -x - 3

y > -(1/3)x - 1

Blue Line

y < 1/2x + 1

Orange Line

y- intercepts = -1 and 1

Does this graph show a function? Explain how you know​

Answers

This graph does not show a function because it fails the vertical line test, and there are x-values that have more than one y-value.

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 65 small boxes. If the truck is carrying a total of 4975 pounds in boxes, how much does each type of box weigh? X Large box: pounds Small box: ( pounds 5 ?

Answers

Answer:

small = 35 pounds

large = 45 pounds

Step-by-step explanation:

Let x = large boxes

y = small boxes

two equations can be derived from the question

x + y = 80  equation 1

60x + 65y = 4975 equation 2

multiply equation 1 by 60

60x +60y = 4800 equation 3

subtract equation 2 from 3

5y = 175

y = 35

substitute for y in equation 1

x + 35 = 80

x = 80 - 35

x = 45

yo brainly bolws and 2+2 is 4

Answers

Answer:

chese

Step-by-step explanation:

Cheese is a dairy product, derived from milk and produced in wide ranges of flavors, textures and forms by coagulation of the milk protein casein. It comprises proteins and fat from milk, usually the milk of cows, buffalo, goats, or sheep. During production, the milk is usually acidified and the enzymes of rennet (or bacterial enzymes with similar activity) are added to cause the milk proteins (casein) to coagulate. The solids (curd) are separated from the liquid (whey) and pressed into final form.[1] Some cheeses have aromatic molds on the rind, the outer layer, or throughout. Most cheeses melt at cooking temperature.

Answer:

2+2=4

Step-by-step explanation:

Bro, u serious?

Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75

Answers

Answers:

mean = 79mode = nonemedian = 81.5

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

Explanation:

To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores

Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632

Divide that over n = 8 to get 632/n = 632/8 = 79

The mean is 79

You have the correct answer. Nice work.

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

The mode is the most frequent value.

In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.

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

To get the median, we need to sort the items from smallest to largest

{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}

Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5

The values 76,87 are in slots four and five in that order. Add them up and divide by 2:  (76+87)/2 = 163/2 = 81.5 is the median

calculate the area of the shape

Answers

Answer:

which shape tho and it's easy if there is more than one shape than find the formula for each shape and combine them!

Answer:

the formula for the rectangle is LxW or BxH (however your teacher taught it) which is just 4x15=60. The triangle is bxh÷2 which means 4x15=60 then 60÷2= 30. Add 30+60 which gives you Area=90formula for a circle πxr^2

the graph of y=-3x+4 is?

Answers

Answer:

B

Step-by-step explanation:

that is a linear equation, therefore it makes a line, eliminating choices C and D.

Lines can literally Any x or y. So it would be B, a set of all the solutions to the equations.

Other Questions
Popes Garage had the following accounts and amounts in its financial statements on December 31, 2019. Assume that all balance sheet items reflect account balances at December 31, 2019, and that all income statement items reflect activities that occurred during the year then ended.Accounts receivable $33,000 Depreciation expense 12,000Land 27,000Cost of goods sold 90,000Retained earnings 59,000Cash 9,000Equipment 71,000 Supplies 6,000Accounts payable 23,000Service revenue 20,000Interest expense 4,000Common stock 10,000Income tax expense 12,000Accumulated depreciation 45,000Long-term debt 40,000Supplies expense 14,000Merchandise inventory 31,000Sales revenue 140,000Required:a. Calculate the total current assets at December 31, 2019.b. Calculate the total liabilities and owners equity at December 31, 2019.c. Calculate the earnings from operations (operating income) for the year ended December 31, 2019.d. Calculate the net income (or loss) for the year ended December 31, 2019.e. What was the average income tax rate for Popes Garage for 2019?f. If $16,000 of dividends had been declared and paid during the year, what was the January 1, 2019, balance of retained earnings? Como contestaria la siguiente pregunta en espanol?Are you a U.S. citizen?A. Si, soy un ciudadano estadounidense. B. Si, hablo ingles.C. No, no tengo mi pasaporte.D. Estoy en los Estados Unidos. A pizza company runs a marketing campaign based on their delivery time for pizzas. They claim that they will deliver a pizza within 30 minutes of ordering or it is free. In practice the time it takes to prepare a pizza and it being delivered is normally distributed with mean 25 minutes and standard deviation 3 minutes. What is the probability a pizza is delivered for free?On a particular Sunday, 40 pizzas were ordered. What is the probability that more than 2 were delivered for free?If the company wants to reduce the proportion of pizzas that are delivered free to 1%, what should the delivery time be advertised as? what is the meaning of paraphrasing? Nathalie: De quoi as-tu besoin pour nettoyer le sol? Julie: Pour nettoyer le sol, jai besoin _________________________. A. dun balai et une pelle B. dune ponge et de gants C. du dtergent et dun assouplissant D. dun sac poubelle et du sable E. dune assiette et un verre True or false in order to catch a low thrown pass wide receivers must turn their hands so their fingers are pointing down at the ground I need help Ill give u brainlest When we expand (2x + 1/2)^6, what is the coefficient on the x^4 term? Phonetics is the study of the distinctive units of sound in a language. true or false 3. DNA and Protein similarities are often used for molecular evidence of evolution. What is being compared to show relatedness among species? Explain how this works. can someone please help me I will mark you as brilliant.The current in a resistor is 5 A and the voltage between its terminals is 40 V. Calculate the resistance. An iron wire has a resistance of 24 . If the voltage across its ends is 12 V, calculate the current in the wire. 75 mma60 mmWhat is the length of the missing leg? Question 2 of 10A rectangle's width is 5 feet less than its length. Write a quadratic functionthat expresses the rectangle's area in terms of its length.O A. A(1) = lwB. A(1)=12 + 51C. All) = w(w+5)O D. All) = 12 - 51A rectangle's width is 5 feet less than its length. Write a quadratic functionthat expresses the rectangle's area in terms of its length.O A. A(1) = lwB. A(1)=12 + 51C. All) = w(w+5)O D. All) = 12 - 51 Helppp meee guysssss!! Which two items explain why the Articles of Confederation were considered weak? It did not permit Congress to conduct foreign affairs. It gave too much power to the states. It provided for a very strong federal government. It did not allow Congress to issue currency. Reset Next In the late 1840s, what challenges did Mexicans living in territory ceded by Mexico face? President Andrew Jackson replaced a number of government workers with his Determine the value of a so that x1-3x3=-3 2x1+ax2-x3=-2 (i)unique solution(ii)no solution(iii)many solutions Which of the following is NOT a function of the skeletal system? *10protects internal organsfirst line of defense against pathogensstores mineralsproduces red and white blood cells Evaluate: 11c+5a-8 for a=4 and c=-6