Find the area of a right isosceles triangle with hypotenuse 10\sqrt{2}10
2 units

Answers

Answer 1

Answer:

A = 50 square units

Step-by-step explanation:

Right Triangles

A right triangle is identified because it has one internal angle of 90°.

The longest side is called hypotenuse and the other two sides are called legs. Being c the hypotenuse and a and b the legs, the Pythagora's theorem relates the with the equation:

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

If the triangle is also isosceles, then both legs have the same measure or a=b:

[tex]c^2=a^2+a^2=2a^2[/tex]

Since we know the hypotenuse has a measure of 10\sqrt{2}:

[tex](10\sqrt{2})^2=2a^2[/tex]

Operating:

[tex]100*2=2a^2[/tex]

Dividing by 2:

[tex]a^2=100~~\Rightarrow a=\sqrt{100}[/tex]

a = 10 units

The area of the triangle is:

[tex]\displaystyle A=\frac{a.b}{2}[/tex]

[tex]\displaystyle A=\frac{10*10}{2}[/tex]

A = 50 square units


Related Questions

Please help and I’ll mark brainliest if u give a small explanation

Answers

Answer:its 60

Step-by-step explanation:

look at g and put the number thats there on g

help me please? i needa help. am bad at maths.

Answers

Answer:

6/3 or 2 (you should probably write 2 though)

(there’s a couple notes in the pic too that will help you with slopes)

Iman and Mark went out for lunch. Part A: Their food and beverages cost $21.75, and there was a 7% meals tax. How much was the bill? A. $1.52 B. $15.23 C. $23.27 D. $23.49 Part B: After adding a tip, the total lunch cost was $27.19. What percent tip did Iman and Mark leave? A. 25% B. 18% C. 14% D. 10%

Answers

Answer:

C- The total is $23.27

The 7% tax is $1.52

Fill in the blank with a number using digits. 11 x 26 = _____ twenty-sixes *

Answers

Answer:

286

I hope this answer helps you with your algebra

What is the 100th term of the sequence if the first term is 5
and the common difference is 2?

Answers

Answer:

505

Step-by-step explanation:

sn=2a+(n-1)d

2*5+(100-1)5

10+(99)5

505

Find 3 consecutive integers such that the sum of all 3 integers is equal to 4 times the smallest integer minus 9. Please help I need it asap I will appreciate it a lotttt

Answers

Answer:

The three integers are 12,13 and 14

Step-by-step explanation:

Let

x,x+1,x+2 be three consecutive integers.

Out of these, the smallest one is x and largest is x+2 as it comes at last in the integers.

So according to given statement

[tex]x+(x+1)+(x+2) = 4x-9[/tex]

This is a linear equation in one variable, which can simply be solved by using equality properties

[tex]x+x+1+x+2 = 4x-9\\3x+3 = 4x-9[/tex]

Subtracting 4x from both sides

[tex]3x+3-4x = 4x-9-4x\\-x+3=-9[/tex]

Subtracting 3 from both sides

[tex]-x+3-3 = -9-3\\-x = -12\\x = 12[/tex]

The smallest integer is 12.

The other integers are:

x+1 = 12+1 = 13

x+2 = 12+2 = 14

Hence,

The three integers are 12,13 and 14

What is the slope of a line parallel to the line whose equation is 20x – 2y = 6?

Answers

Answer:

10

Step-by-step explanation:

20x – 2y = 6

y=10x-3

Parallel line have same slope

С
Which inequality is true?
8
9
O 510
0.13
8
5
8 5
072

Answers

Answer:

0.72

Step-by-step explanation:

it doesn't exist

A student has a range of values from 0.000001 to 1,000,000, but limited paper to graph these values on. How might the student be able to graph these results clearly?

Answers

Answer:

logarithmic scale

The student might be able to graph these results clearly by taking the log of the values.

What is logarithm of a number?"Logarithms are the inverse of exponents. ""x is the logarithm of n to the base b if [tex]b^x=n[/tex]"

For given question,

A student has a range of values from 0.000001 to 1,000,000

We need to find the way so that the student will be able to graph these results.

We can write  0.000001 as [tex]1\times 10^{-6}[/tex]

[tex]\Rightarrow 0.000001=10^{-6}[/tex]

and 1,000,000 as [tex]1\times 10^6[/tex]

[tex]\Rightarrow 1,000,000=10^6[/tex]

If we take the log of these range values, then it would be,

[tex]\Rightarrow log(10^{-6})=-6[/tex]

and [tex]log(10^6)=6[/tex]

This means, the student might be able to graph these results clearly by taking the log of the values.

Learn more about logarithm here:

https://brainly.com/question/20785664

#SPJ3

If you can answer this please help!

The parabola of a given quadratic function opens up. What is true about the vertex of that function?
The vertex is the maximum.
The vertex is unaffected.
There is no vertex.
The vertex is the minimum.

Answers

Answer:

D

Step-by-step explanation:

The vertex is a point where the slope is 0 so opening up the vertex is the minimum so option (D) will be correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

Vertex is a point where the rate of change or slope of the function is zero.

Since if the slope is zero it means the tangent at that point will be horizontal.

If the parabola opens up then the point where it is changing its direction will be vertex as shown below.

So vertex has a minimum value of y.

Hence "The vertex is a point where the slope is 0 so opening up the vertex is the minimum so option (D) will be correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ2

3. What is the distance between the points (4, 5) and (-3, 5)?
1 units
7 units
10 units
8 units

Answers

Answer:

The actual answer is 7 units.

Step-by-step explanation:

Distance between two bodies=

root under[(x2-x1)^2+(y2-y1)^2]

=root under[(-3-4)^2+(5-5)^2]

= root under (49)

=7 units.

Need help fast plss will give brainliest to who is correct plss help

Answers

Answer:

A) (-3,-2)

Step-by-step explanation:

Under certain​ conditions, the average cost of driving a medium sedan in 2012 was ​$0.64 per mile. How much would it have cost to drive such a car 13000 miles in​ 2012?

Answers

Answer:

$8320

Step-by-step explanation:

.64 x 13000

Write the slope-intercept form of the equation of the line described. through (2, -5) perpendicular to y = 1/3x -1

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.

Plug in the slope and given point into y = mx + b

y = mx + b

-5 = -3(2) + b

-5 = -6 + b

1 = b

Then, plug in the slope and y intercept into y = mx + b again:

y = -3x + 1 will be the equation of the line

find the slope and the y-intercept of 7x = 2y-4

Answers

Answer:

Slope: [tex]\frac{7}{2}[/tex]

Y-intercept: (0, 2)

Step-by-step explanation:

7x = 2y - 4

-2y = -7x - 4

y = [tex]\frac{-7}{-2}[/tex] x - [tex]\frac{4}{-2}[/tex]

y = [tex]\frac{7}{2}[/tex] x + 2

The slope is always the coefficient of x and the y-intercept is always the constant. It looks like (0, constant) when written in y-int form.

Answer:

slope (m) is 7/2 (aka 3.5) and y-int is (0,2)

Step-by-step explanation:

I don't really have an explanation, basically rearrange the problem so that to y is on the left but it would be 2y so divide the right side by two. I an explain further in depth if needed

what is the correct evaluation of 15-3x, when x is equal to -2?

-15

21

15

-21​

Answers

Answer:

Step-by-step explanation:

15-3x

15-3(-2)

15+6

21

Answer:

21 is the correct answer

I really need help, please

Answers

Answer:

C: [tex]\frac{5}{2} + \frac{1}{2} i[/tex]

Step-by-step explanation:

Did this through my TI-89 calculator. ^^

Suppose a coin is flipped and a card is drawn from the deck. What is the probability that the coin lands on tails and the card is a Jack?
0 112
1/13
1/4
01/26

Answers

Answer:

1/26

Step-by-step explanation:

1 out of 13 would be equal to the amount of cards that would be a jack.

But you also have to take into regards the coin flip 50%chance so you would just could what the number is divided by to get the right answer. Since out come could be tails or head instead of just being one for sure for example.

What is the approximate area of the triangle below?

Answers

Can you include a picture of the problem theres no information

Answer:

3

Step-by-step explanation:

1+1=2

answers are

A. 41 degrees
B. 15 degrees
C.90 degrees
D. 83 degrees ​

Answers

Answer:

Step-by-step explanation:

Ok so what you are going to do is  set up and equation where 6x-7=4x-23

you will get x= -8 now plug it in

I WILL MARK BRAINLIST

Answers

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

..........

Step-by-step explanation:

One liter is approximately 34 ounces. A 2-liter soda bottle can hold how many 12-ounce
cans of soda?
Between 1 and 2
Between 3 and 4
ES
Between 6 and 7
Between 5 and 6

Answers

64 oz / 12 oz = between 5 and 6 cans

A new, healthy drink has 160% of the “recommended daily allowance” (RDA) of vitamin J. If the RDA is 40 milligrams, how much vitamin J is in the new health drink?

Answers

Answer:

80

Step-by-step explanation:

Im not really sure just the thingy says that 80 was the right anwser

Answer:

64

Step-by-step explanation:

Sorry I'm really late.

Aidan has been offered a job to paint the outside of a barn. If one gallon costs $35 and covers 550 square feet. How much will it cost to paint the barn with one coat?

Answers

Complete Question

The diagram of the barn is shown on the first uploaded image

Answer:

The cost is [tex]C = \$ 530[/tex]

Step-by-step explanation:

From the question we are told that

   The  cost of one gallon of paint is  [tex]c = \$35[/tex]

    The area the one gallon of paint covers is  [tex]A = 550 \ square\ feet[/tex]

   

Generally from the diagram  the region of the barn which can be painted is mathematically represented as

       [tex]A =80 * 35 + 38 * 35 + 2( \frac{1}{2} * 38 * 2 )[/tex]

=>    [tex]A = 8336 \ ft^2[/tex]

From the question

     1 gallon  covers  500 square feet

     x gallon will cover  8336  square feet

So

       [tex]x = \frac{8336}{550}[/tex]

=>    [tex]x =15 \ gallons[/tex]

Generally the cost of 15 gallons of paint is mathematically represented as

       [tex]C = c * x[/tex]

=>     [tex]C = 15 * 35[/tex]

=>     [tex]C = \$ 530[/tex]

I am really stuck on this problem​

Answers

Answer:

1. ∠1 = 60

2. ∠2 = 40

3. ∠3 = 80

4. ∠4 = 80

5. ∠5 = 60

6. ∠6 = 120

7. ∠7 = 100

8. ∠8 = 60

9. ∠9 = 120

10. ∠10 = 100

Step-by-step explanation:

Shannon wants to buy 4 coffee mugs for the lowest amount.a set of 4 mugs costs £12

Answers

i can help, but you need to write the whole question..

84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.

Answers

84y = k x X
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side

Y = 84

The sales tax in the town where Amanda lives is 9%. Amanda paid $36 in sales tax on a new stereo. What was the price of the stereo?

Answers

Answer:

$400

Step-by-step explanation:

9%= .09

$36÷.09=$400

Answer:

400

9 percent equals .09

36 divided by ,09 equals 400

400 would be your answer

Express the ratio below in its simplest form. 3 : 3 1 /2

Answers

Answer:

1/3÷1/2

1/3×2 (reciprocal on dividing)

=2/3

plzz give brainiest

Answer: answer is 2/3

Step-by-step explanation:

Kevin has completed 36% of his running marathon. he has ran 9 miles. How long is the marathon?

Answers

Answer:

25 miles

pls tell if I'm wrong

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