An isosceles right triangle has a base and height with the same length. If the area of the triangles is 32 square centimeters, how long are the base and height?

Answers

Answer 1

Answer:

8 cm.

Step-by-step explanation:

area = 1/2 * base * height = 32

since base = height

therefore 1/2 * base * base = 32

base^2 = 32*2

base = 8 cm.

height = 8 cm.


Related Questions

How do you know if the graph will be dotted or solid when graphing linear inequalities?

Answers

Answer: look at the symbols <, > and <=, >=

Step-by-step explanation:

If the inequality is < or >, graph the equation as a dotted line. If the inequality is <= or >=, graph the equation as a solid line.

find the exact value of x. x=

Answers

x/16 = 12/20
20x = 192
x = 192/20
x = 9,6

4. A 50 meter tall tree casts a shadow that is 60 meters long. Find the distance
between the top of the tree and the shadow .

Answers

Because we have a right triangle:
a^2 + b^2 = c^2
50^2+ 60^2= c^2
2500 + 3600 = c^2
6100 = c^2
radical 6100= radical c^2
C= 78.1 m
The distance between the top of the tree and the shadow is 78.1m

PLEASE HELP, SHOW WORK ,GIVING BRAINLIESTS. WORTH 28 POINTS!

Answers

The answer would be A.

app nearpod.com/presentation7pinFQ3R
Independent Practice:
1. If two points, R and T, have coordinates of R(-5, 8) and T(3,14).
then which of the following points lies at the midpoint of RT ?
a) (-2, 22)
b) (-5,14)
c) (-1,11)
d) (2011)

Answers

Answer:

A

Step-by-step explanation:

-5+3=-2

8+14=22

D is the core one!!!!!

Which equation of an exponential function has a graph that passes through the points
(1,5) and (2,15)?

Answers

Answer:

[tex]y = \frac{5}{3} (3^{x} )[/tex]

Step-by-step explanation:

In general, [tex]y = k(b^{x})[/tex]

Substitute x = 2, y = 15

(1)      [tex]15 = kb^{2}[/tex]

Substitute x = 1, y = 5

(2)      [tex]5 = kb^{1} = kb[/tex]

Divide equation (1) by equation (2)

[tex]\frac{15 = kb^{2} }{5= kb }[/tex]

3 = b

Now substitute b = 3 in equation (2) to find k

5 = k(3)

[tex]k = \frac{5}{3}[/tex]

Since we know the values for k and b, we now have the exponential function that passes thru (1, 5) and (2, 15)

[tex]y = \frac{5}{3} (3^{x} )[/tex]

The measure of an angle is nine times the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

the angle is 81 and it's complementary angle is 9

let X be the angle

let 90-x be it complementary angle

so X=9(90-x)

X=810-9x

810=10x

X=810/10

X=81

and complementary angle 90-x which is 90-81 is equal to 9...

Determine whether the sample may be biased. Explain.
Theo surveys every fourth person entering a grocery store to find out the average number of pets in people's homes. ​

Answers

Answer:

No, I do not think the sample is biased.

Step-by-step explanation:

Well, Theo is surveying people randomly, he has no way of knowing who'll be the fourth person.

How can you determine
a representative sample of a population?

Answers

You can determine a representative sample of a population because it must be randomly chosen so that each member of the larger population has an equal chance of being chosen. I hoped this helped, good luck!


Sumaya is considering investing $8500 into the bank. Bank A offers 2.25% interest rate compounded semiannually. Bank B offers 1.75% interest compounded monthly. She is planning on leaving the money in the account for 5 years until she goes to college. Which bank should Sumaya go with and how much more will she make at that bank in the five years?

A. Bank A - she will make $1341.56 more

B. Bank B - she will make $1341.56 more.

C. Bank A - she will make $230.02 more.

D. Bank B - she will make $230.02 more.

Answers

the answer to your problem is B.

About Carrier culture initially contains 2500 bacteria and doubles every half hour​

Answers

Answer:

A bacteria culture initially contains 2500 bacteria and doubles every half hour. The formula for the population is p(t)=2500e^(kt) for some constant k. Find the size of the bacterial population after 100 minutes. Find the size of the bacterial population after 4 hours.

Step-by-step explanation:

Answer:

1. 10000 bacteria

2. 640000 bacteria

Step-by-step explanation:

2500 bacteria: 30 minutes

x bacteria: 60 minutes

The bacteria gets doubled twice

2500*2*2=10000

x bacteria:240 minutes

The bacteria gets doubles 8 times

2500*2*2*2*2*2*2*2*2= 640000

How many solutions do you think the equation
- 10x + 3 = 5x – 27 has?
Explain. Then, find the solution(s).​

Answers

Answer: X = 2

Step-by-step explanation: There is only one solution

Hello!

x=2

explication:

-10x+3-5x=-27

-15x+3=-27

-15x=-27-3

-15x=-30

x=30:15

x=2

Compare Texas to Carolina. Write the answer in scientific notation. Texas= 2.5x10 to the power of 5. Carolina= 1.2x10 to the power of 3.

Answers

Answer:

Texas is 2.08333 * 10^2 times the size of Carolina.

Step-by-step explanation:

Given :

Given that:

Texas= 2.5x10^5

Carolina = 1.2x10^3

Comparing the size of Texas and Carolina

Texas / Carolina

(2.5 * 10^5) ÷ 1.2 * 10^3

(2.5/1.2) * 10^5-3

2.08333 * 10^2

Hence, Texas is 2.08333 * 10^2 times the size of Carolina.

Hi! Can someone please help me with this problem?

Answers

Answer:3!

Step-by-step explanation:

PLLLLLLLSSSSSSS HELP MEEE!!!!! I AM STUCK ON THIS AND I NEED HELP I NEED ANSWER AND WORK IF U GET IT RIGHT I WILL GIVE BRAINLIEST. If the perimeter of a rectangle is 26x^2+16x+10 and the length is 8x^2+6x+4, what is the width?

Answers

Answer:

2(3x2 + 6x - 10) + 2(3x + 5)

Step-by-step explanation:

Answer:

Lol. Give brainliest to the other guy.

Step-by-step explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

The length of a rectangle is 7 more than twice the width, and the area of the rectangle is 99 yd^2 . Find the dimensions of the rectangle

Answers

Answer:

Width of a rectangle = [tex]\frac{11}{2}[/tex] yards

Length of a rectangle = [tex]18[/tex] yards

Step-by-step explanation:

Let width be [tex]x[/tex] yards.

Length of a rectangle = [tex]7+2x[/tex]

Area of a rectangle = length × width

Put area of the rectangle as [tex]99\,\,yd^2[/tex]

Therefore,

[tex]99=x(7+2x)\\\\99=7x+2x^2\\\\2x^2+7x-99=0\\\\2x^2+18x-11x-99=0\\2x(x+9)-11(x+9)=0\\\\(2x-11)(x+9)=0\\\\x=\frac{11}{2},x=-9[/tex]

Being a dimension, [tex]x[/tex] cannot be negative.

So,

[tex]x=\frac{11}{2}[/tex]

Width = [tex]x=\frac{11}{2}[/tex] yards

Length of a rectangle = [tex]7+2x=7+2(\frac{11}{2})=7+11=18[/tex] yards

how does a fraction model help you

Answers

Answer:

Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.

Step-by-step explanation:

Which statement is true?

Answers

Answer:

Step-by-step explanation:

x-intercept -> when y = 0

f(x) x-intercept -> (1 , 0)

g(x) x-intercept -> (-1 , 0)

y-intercept -> when x = 0

f(x) y-intercept -> (0 , -1)

g(x) y-intercept -> (0 , 1)

The x-intercept of f(x) is greater than the x-intercept of g(x)

The y-intercept of g(x) is greater than the y-intercept of f(x)

So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)

9y=72? :D one last question this is such a struggling doing algebra in such an early grade: (

Answers

Answer:

y=8

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

Divide each term by  9  and simplify.

find the range of the data.
26, 12, 34, 18, 78, 11, 65, 46, 38.

Answers

Answer:

The range is the difference between the largest and smallest numbers.

(See explanation)

Step-by-step explanation:

78 - 11 = 67

I'm feeling happy <3

Answer:

Range : 67

Medium : 34

Mean : 36.4

___________________

*rate this answer and say thanks please!

A child weighs 83 pounds. Given that 1 pound is equal to 16 ounces, how many ounces does the child weigh?​

Answers

Answer: 1328

Step-by-step explanation:

The sum of twice Emily's age and her mom's age is 78. Her mom's age is 4 times Emily's age. What is Emily's age?

Answers

Answer:

19 years and 6 months old

Step-by-step explanation:

Emily's age: E

4 x E = 78

78 ÷ 4 = 78

What is the area, in square inches, of the shape below?
5 in
10 in

Answers

Crfgggfff The answer is 5 in

What are all the equations for which (6,1) is a solution.

Answers

Answer:

y = 4x + 23

2x - 13y = 1

3y = 1/2x

Step-by-step explanation:

trust me i got it right

4x² – 3x²
Please help
i promise ill study next time

Answers

Answer:

1[tex]x^{2}[/tex]

Hope that helps!

Step-by-step explanation:

-12x2 + 5x - 26
Helppp

Answers

Answer:

I factored it

Step-by-step explanation:

-12x^2 + 5x - 26

-1(-12x^2 + 5x - 26)

-1 is there only common factor

                           

Guys please solve it.

Answers

Answer:

1) a. y = 4x + 8

  b. It will take 9 days for it to grow 44 inches tall

hope this helps :)

Answer:

a. y= 4x+8

b. 23 days

Step-by-step explanation:

8 is the y-int.

Slope you go up 4 and 1 to the right

y = 4*44+8

y= 176+8

y=184/8

y= 23

Lauren solve a quadratic by factoring response is below analyze the answer then incomplete sentence is discuss whether the answer is incorrect or correct if the answer is incorrect explain Lauren thinking and where she made her mistake

Answers

Answer:

half correct half wrong 2/5 should be 5/2 but 1 is correct

Step-by-step explanation:

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

=7+3

____

  4

=7−3

____

  4

Rearrange and isolate the variable to find each solution

=5/2

= 1

Solution

=5/2

=1

the matirial for one headband costs $0.95. Each headband is sold foe $3.80. What percentage of $0.95 is $3.80?

Answers

.95:3.80*100 =

(.95*100):3.80 =

95:3.80 = 25
The answer is 25%

The measure of one interior angle of a parallelogram is 42 degrees more than twice the measure of another angle. Find the measure of each angle.

Answers

Answer:Measure of the angles are 50, 130, 50 & 130

Step-by-step explanation: seen from the diagram, adjacent angles are supplementary and opposite angles are equal.

enter image source here

Let one angle be A

Other adjacent angle b will be 180-a

Given b = 2a + 30. Eqn (1)

As B = 180 - A,

Substituting value of b in Eqn (1) we get,

2

A

+

30

=

180

A

3

a

=

180

30

=

150

A

=

50

,

B

=

180

A

=

180

50

=

130

Measure of the four angles are

50

,

130

,

50

,

130

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