Find the area of the isosceles triangle.
13 cm side
10 cm base

Answers

Answer 1

The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

An isosceles triangle is a triangle in which two sides are the same.

The given isosceles triangle has been drawn below,

The area of a triangle is given as (1/2) × base × height.

Height = √(13²  - 5²) = 12

Area = (1/2) × 10 × 12 = 60 square cm.

Hence "The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm".

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Find The Area Of The Isosceles Triangle.13 Cm Side 10 Cm Base
Answer 2

To find the area of an isosceles triangle with given side lengths, use the Pythagorean theorem to find the height. Then, apply the formula for the area of a triangle using the base and the calculated height. The area of the given isosceles triangle is 60 square centimeters.

To find the area of an isosceles triangle with a base of 10 cm and two equal sides of 13 cm, we first need to determine the height of the triangle. We can use the Pythagorean theorem to find the height (h).

Since the base splits the isosceles triangle into two right triangles, each having a base of 5 cm (half of 10 cm) and a hypotenuse of 13 cm:

Using the Pythagorean theorem:

→ Hypotenuse (hyp) = 13 cm

→ Base/2 (base) = 5 cm

→ Height (h) = ?

→ hyp² = base² + h²

→ 13² = 5² + h²

→ 169 = 25 + h²

→ h² = 169 - 25

→ h² = 144

→ h = √144

→ h = 12 cm

Now that we know the height, we can use the formula for the area of a triangle:

→ Area = 1/2 × base × height

→ Area = 1/2 × 10 cm × 12 cm

→ Area = 5 × 12

→ Area = 60 square centimeters


Related Questions

James’s four-year-old brother is trying to arrange black and yellow Legos in rows. He has 56 yellow Legos and 120 black Legos. He wants to arrange them in rows so that there are either only yellow or only black Legos in each row, and so that each row has the same number of Legos. What is the least number of rows he can make?

Answers

Answer:

22

Step-by-step explanation:

Final answer:

The four-year-old brother can arrange the Legos in rows of 8.

Explanation:

To find the least number of rows the four-year-old brother can make with the black and yellow Legos, we need to determine the greatest common divisor (GCD) of 56 and 120. The GCD will represent the number of Legos in each row.

To find the GCD, we can use the Euclidean algorithm. Divide the larger number (120) by the smaller number (56). The remainder is 8. Then, divide the smaller number (56) by the remainder (8). The new remainder is 0.

Therefore, the GCD of 56 and 120 is 8. This means that the four-year-old brother can arrange the Legos in rows of 8, with 7 rows of black Legos and 1 row of yellow Legos, or vice versa.

What is the equation for ⊙A?

Answers

Answer:

Circumference = 3.14 diameter     C = 3.14(6)     Answer: 18.84  

Step-by-step explanation:

The equation for circle at A is (x+4)²+(y+2)²=9 whose radius is 3 units.

The equation of the circle is (x-h)²+(y-k)²=r²

Where h and k are the coordinates of centre of circle and r is radius of the circle.

From the given figure (h, k) is (-4, -2) and r is 3 units

Plug in these values in the equation of circle.

(x-(-4))²+(y-(-2))²=3²

(x+4)²+(y+2)²=9

Hence, the equation for circle at centre A is (x+4)²+(y+2)²=9 whose radius is 3 units.

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The sales tax on a $56.00 is 48. that rate, what would be the sales tax on 60.00 worth -

Answers

Answer:

51.43

Step-by-step explanation:

im not sure if you typed it correctly but using the above information and setting up the ratio, this is the outcome

find the value of y when x=3: y= 2x +1

Answers

Answer: 7

Step-by-step explanation:

x=3 y=2x+1

Y= 2(3)+1

Answer:

y=7

Step-by-step explanation:

We want to find y when x equals 3, so we can substitute 3 in for x

y=2x+1

y=2(3)+1

Multiply

y=6+1

Add

y=7


The area of a parallelogram is 74, with the base measuring triple the height. If the unknown variable represents the height of the parallelogram, what does each variable in the model represent?
A parallelogram with height h and base b.
h =
b =

Answers

Answer:

The answer is A. 88.8 cm2

Work:

74 x 2 = 148

14.8 = 29.6

Add them = 177.6

Step-by-step explanation:

Answer:

h=x

b=3x

Step-by-step explanation:

Just got it right on Edge.

Explain why a rectangle is a convex quadrilateral

Answers

Answer:

this is because of two diagonals which lie in the interior of the rectangle.

Aidan has $65 in his bank account. His brother Michael also has a bank account. They want to calculate the amount of money in both accounts combined. What variable is needed to calculate their combined total?
A.
d, the difference between the amounts in Aidan's and Michael's account
B.
a, the amount of money in Aidan's bank account
C.
m, the amount of money in Michael's bank account
D.
l, the amount of money in Michael's account last month

Answers

Answer:

C because they won't know unless they know what Michael has

Step-by-step explanation:

It’s c the amount of money in Michael’s bank account.

1/2(2n+4)+6=-9+4(2n+1)

Answers

Answer:

13/7 =n

Step-by-step explanation:

1/2(2n+4)+6=-9+4(2n+1)

Distribute

n +2 +6 = -9 + 8n +4

Combine like terms

n +8 = 8n -5

Subtract n from each side

n+8-n = 8n-n-5

8 = 7n-5

Add 5 to each side

8+5 = 7n-5+5

13 =7n

Divide each side by 7

13/7 = 7n/7

13/7 =n

Answer:  n = 13/7 = 1.857

( I hope this is right )

Step-by-step explanation:

What is the area of triangle ABC?
0 2.5 square units
3 square units
3.5 square units
04 square units

Hurry

Answers

Answer:

A = 3 units^2

Step-by-step explanation:

The area of a triangle is

A  = 1/2 bh where b is the length of the base and h is the height

b = the distance from B to C = 4 units = 2  ( watch the scale)

h = the distance from A to C along the x axis =6 units = 3  (watch the scale)

A = 1/2 (2)(3)

A = 3 units^2

Which ratio can be used to solve for y in the triangle below?

sin75/25= sin40/y
sin40/25= sin75/y
sin25/75= siny/40
sin25/40= siny/75​

Answers

Answer:second one should be correct I took this last year

Step-by-step explanation:

DUE TODAY NEED HELP ASAP! WILL MARK BRAINLIEST TO THE FIRST PERSON WHO ANSWERS

Answers

Answer:

1 I would use the news and newspaper maybe

2. I would not use social media like T.T and Inst

That is all I could help with sorry And i could not put real names it would not let me sorry

Step-by-step explanation:

11.
A school club had a T-shirt sale to raise money.
After the sale, an inventory showed that 108 blue
T-shirts and 96 green T-shirts had been sold. The
sizes of these T-shirts included 60 small, 86
medium, and 58 large. Which table correctly
represents these data?

Answers

Answer: It is A.

Step-by-step explanation: It's a because all the numbers are in the chart and matches up with it.

The sum of the blue T-shirt is 108 in table number B. Then the correct table is B.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

A school club had a T-shirt sale to raise money.

After the sale, an inventory showed that 108 blue T-shirts and 96 green T-shirts had been sold.

The sizes of these T-shirts included 60 small, 86 medium, and 58 large.

Then the correct table will be

The sum of the blue T-shirt is 108 in table number B. Then the correct table is B.

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What is the value of b in the equation below?

StartFraction 5 Superscript 6 Over 5 squared EndFraction = a Superscript b
3
4
5
8

Answers

Answer:

I think it  is 4

Step-by-step explanation:

Answer:

y = 6|x|

Step-by-step explanation:

y = |x|

When we scale vertically, we multiply by a constant

y = a f(x)

We are multiplying by 6

y = 6|x|

Answer correctly, will mark brainliest answer !!!

Answers

Answer:

x-6

Step-by-step explanation:

The formula for the area of a rectangle is (l)(w)

x-5(w)=x²-11x+30

To solve, you need to put the quadratic equation into standard form

x-5(w)=(x-5)(x-6)

Divide both sides of the equation by x-5 to isolate the width(basically strike out x-5 on both sides)

the width is x-6

I pretty sure that's the right answer since (x-5)(x-6)=x²-11x+30, but I'm in geometry right now, and I had to go back and re-learn.

What is 120 decreased by 25%

Answers

Answer:

90

Step-by-step explanation:

120 - (25% × 120)

120 - 25% × 120

(1 - 25%) × 120

(100% - 25%) × 120

75% × 120

75 ÷ 100 × 120

75 × 120 ÷ 100

9,000 ÷ 100 = 90

90
Because 120(25%)which is 30 and then 120-30 is 90

you roll a fair 6-sided die . what is the probability of rolling a 2 .

Answers

Answer:

P = 1/6

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

6 sides means 1 in 6 chance for each side

What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
A) 7.5π cm²
B) 8.625π cm²
C) 10.5 π cm²
D) 19.55π cm²

Answers

The answer is choice C

The surface area of the cylinder is 16.125π cm², which is closest to option D) 19.55π cm².

To find the surface area of a cylinder, we need to calculate the sum of the areas of its two bases and its lateral surface.

The formula for the lateral surface area of a cylinder is given by:

[tex]\[ LSA = 2 \pi r h \][/tex]

where [tex]\( r \)[/tex] is the radius and [tex]\( h \)[/tex] is the height of the cylinder.

Given that the diameter of the cylinder is 1.5 centimeters, the radius [tex]\( r \)[/tex] is half of that, which is [tex]\( \frac{1.5}{2} = 0.75 \)[/tex] centimeters.

The height of the cylinder is given as 5 centimeters.

Substituting these values into the formula for the lateral surface area:

[tex]\[ LSA = 2 \pi (0.75) (5) \][/tex]

[tex]\[ LSA = 15 \pi \][/tex]

Now, we need to find the area of the two bases of the cylinder. Since the cylinder has two circular bases, we can find their combined area using the formula for the area of a circle:

[tex]\[ A_{\text{base}} = \pi r^2 \][/tex]

[tex]\[ A_{\text{base}} = \pi r^2 \][/tex]

[tex]\[ A_{\text{base}} = \pi (0.75)^2 \][/tex]

[tex]\[ A_{\text{base}} = \pi (0.5625) \][/tex]

[tex]\[ A_{\text{base}} = 0.5625 \pi \][/tex]

The total surface area is the sum of the lateral surface area and the areas of the two bases:

[tex]\[ \text{Total Surface Area} = LSA + 2A_{\text{base}} \][/tex]

[tex]\[ \text{Total Surface Area} = 15 \pi + 2(0.5625 \pi) \][/tex]

[tex]\[ \text{Total Surface Area} = 15 \pi + 1.125 \pi \][/tex]

[tex]\[ \text{Total Surface Area} = 16.125 \pi \][/tex]

[tex]\[ \text{Total Surface Area} = 16.125 \pi \][/tex]

Therefore, the surface area of the cylinder is 16.125π cm².

The closest option is D) 19.55π cm².

If a = -3 find the value of 2a

Answers

Answer:

2a= -6

Step-by-step explanation:

a= - 3

2a= 2(-3)= -6

Answer:

-6

Step-by-step explanation:

-3×2=-6

A card is randomly draw from a shuffled
deck of cards and NOT REPLACED. A
second card is drawn from the remaining
shuffled cards. What is the approximate
probability that both cards are FACE
cards?
A. 5%
B. 6%
C. 23%
D. 25%​

Answers

Answer:5%

Step-by-step explanation:

There are 12 face cards in a deck the chance you draw one are 3/13 and the chance you draw the second card is 4.978%

Find the common difference: 1, 201, 401, 601, ... A

Answers

They are all 200 bigger than each other y = x + 200
Final answer:

The common difference of the arithmetic sequence 1, 201, 401, 601, ... is 200, which is the difference between successive pairs of terms.

Explanation:

In Mathematics, the common difference in an arithmetic sequence is the amount by which successive terms increase. In the given series: 1, 201, 401, 601, ..., the common difference can be found by subtracting a term from the term after it. For instance, if we subtract 1 (the first term) from 201 (the second term), we get 200. If we do the same for 201 and 401 (the second and third terms), we also get 200. This means that the common difference for this arithmetic sequence is 200.

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In △ABC, angle C is a right angle and BC > AC. Select all the statements that are true.
A. m∠B > m∠A
B. sin A > sin B
C. sin A < sin B
D. cos A > cos B
E. cos A < cos B

Answers

△ABC  right angle C, leg BC > leg AC.  So angle A > angle B.

a=BC, b=AC, c=AB

a > b

sin A= cos B = a/c

sin B = cos A = b/c

a = c sin A = c cos B

b = c sin B = c cos A

a > b

c sin A > c sin B

sin A > sin B

c cos B > c cos A

cos B > cos A

Answer:  B, E

Final answer:

In a right-angled triangle △ABC with BC > AC, it is true that m∠B > m∠A, sin A < sin B, and cos A > cos B. These correspond to choices A, C, and D.

Explanation:

In the context of triangle △ABC where angle C is a right angle and BC > AC, we can assess the truth of various statements regarding the angles and their sine and cosine values:

m∠B > m∠A: This statement is true because in a right-angled triangle the side opposite the right angle is the hypotenuse and is the largest side. Therefore, the angle opposite the longest side (BC) must be the largest acute angle, hence m∠B > m∠A.

sin A > sin B: This statement is false. Since m∠B > m∠A and sine of an angle increases with the angle's magnitude (for acute angles), it must be that sin A < sin B.

sin A < sin B: This statement is true based on the relationship of the sides and angles mentioned earlier.

cos A > cos B: This statement is true. Since m∠B > m∠A and cosine of an angle decreases as the angle's magnitude increases (for acute angles), it must be that cos A > cos B.

cos A < cos B: This statement is false for the same reason that cos A > cos B is true.

The correct statements are therefore A, C, and D.

What is the probability of a die landing on an even number on the first toss, and then an odd number on the second toss?
Dice- 6 sides

Please help

Answers

Answer:

i dotn know sorry

Step-by-step explanation:

and this is why brainly is bad

Answer:

1/4 chance

Step-by-step explanation:

Number of even numbers on a die-3

Number of odd numbers on a die-3

a die has 6 sides,

therefore

1/2 of the numbers on a die are even and 1/2 are odd

so a 3/6 chance (1/2 chance (simplify)) of landing on an even number on the first roll

And  a 3/6 chance (1/2 chance (simplify)) of landing on an odd number on the second roll

Multiply the two together and a 9/36 chance of this event or simplified to a 1/4 chance of this event

i need the answer
PLEASE HELP :) :(

Answers

So the answer is 6 km.

Look at the attached picture

Hope it will help u...:)

Answer:

it will be 6km

i just go by 2 like 10, 8, then 6

-Hops

The probability of rolling a 6 on a biased die is 1/5

Work out the probability of rolling exactly one 6

Answers

Answer:

if the probability of a 6 is 1/5, the probability of “not six” is 4/5. The probability of a 6 on the first roll and not on the second is 1/5 x 4/5 = 4/25. The six could come on the second roll so that probability must be doubled. The overall probability of exactly one six is 8/25 or 0.32.

Step-by-step explanation:

2. Eric had $197 in his savings account before he was paid his weekly salary. His current
savings balance is $429. If Eric deposits all of his earnings, then how much money does he
earn each week? Justify your answer.
a. 197 + 429 = n
b. 197 + n = 429
c. 197n = 429
d. None of the above.

Answers

Answer:

I think its b.

Step-by-step explanation: If he already has 197 then he would need to add an amount of money in this case n=232 so if you do 197 plus 232 you would get 429. Hope this helps

solve the equation by completing the sqaure. if necessary round to the nearest hundreth x^2+4x=1

Answers

Answer:

x = ± √ 5 − 2

Step-by-step explanation:

Describe the translation that maps ABCD onto A’B’C’D’

A. Left 6, up 5
B. Left 6 down 5
C. Right 6, up 5
D. Right 6, down 5

Pls don’t do this just for the points.

Answers

Answer:

D

Step-by-step explanation:

The translation that maps ABCD onto A’B’C’D’ is Right 6, down 5.

What is the translation of coordinates?

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

In fact, during translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

The translation that maps ABCD onto A’B’C’D’ is;

Shift ABCD to the right side by 6 units then shifted down by 5 units to get A'B'C'D'.

ABCD moved ( 6 units ) times to the ( right), and ( 5 units ) times to the ( bottom) to convert into A'B'C'D'.

Hence,  the translation that maps ABCD onto A’B’C’D’ is Right 6, down 5.

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Solve the following linear system by graphing
4x+5y=10
3x-3y=21




Answers

Answer:

y = 2

x = 5

Step-by-step explanation:

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×4 |

12x + 15y = 30

12x - 12y = 84

____________--

27y = -54

y = -54/27

y = 2

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×5 |

12x + 15y = 30

15x - 15y = 105

____________+

27x = 135

x = 135/27

x = 5

Identify the vertex and axis of symmetry of the function f(x) = -(x + 1)^2 + 2 *
x = -1; (-1, 2)
x = 1; (1, 2)
x = -2; (2, -1)
x = 2; (2, 1)

Answers

Answer:

x = -1; (-1, 2)

Step-by-step explanation:

f(x) = -(x + 1)^2 + 2

This is in vertex form

y = a(x-h)^2 +k  where the vertex is (h,k) and the axis of symmetry is x=h

f(x) = -(x -  -1)^2 + 2

Axis of symmetry is x=-1

Vertex is (-1,2)

Match each equation to the situation it represents. Situation Equation An adult and 5 55 children rent skates. It costs $ 4 $4dollar sign, 4 per adult for skates and a total of $ 16 $16dollar sign, 16. It costs Mikael $ 4 $4dollar sign, 4 to make a bike bag, and he sells each for $ 5 $5dollar sign, 5. He has made a profit of $ 16 $16dollar sign, 16 so far. It was 16 ° C 16°C16, degree, start text, C, end text. It began falling 4 ° C 4°C4, degree, start text, C, end text per hour until it reached 5 ° C 5°C5, degree, start text, C, end text. 16 − 4 x = 5 16−4x=516, minus, 4, x, equals, 5 ( 5 − 4 ) x = 16 (5−4)x=16left parenthesis, 5, minus, 4, right parenthesis, x, equals, 16 4 + 5 x = 16 4+5x=164, plus, 5, x, equals, 16

Answers

Answer:

1. C.

2. B.

3. A.

Step-by-step explanation:

First situation given:

An adult and 5 children rent skates. It costs $ 4 per adult for skates and a total of $ 16.

Correct equation: C

4 + 5 x = 16

Second situation given:

It costs Mikael $ 4 to make a bike bag, and he sells each for $ 5. He has made a profit of $ 16, so far.

Correct equation: B

( 5 − 4 ) x = 16

Third situation given:

It was 16°C. It began falling 4°C per hour until it reached 5°C.

Correct equation: A

16 − 4 x = 5

Equations are matched to situations based on the context provided: the adult and children renting skates is described by 4 + 5x = 16, Mikael's profit from selling bike bags fits the equation (5 - 4)x = 16, and the temperature dropping over time corresponds to 16 - 4x = 5.

To match each equation to its corresponding situation, let us consider each situation and then associate the relevant equation.

Adult and children renting skates: An adult rents skates at $4, and the total cost including 5 children is $16. The equation representing the total cost is the adult's cost plus 5 times the children's cost equals $16, which is: 4 + 5x = 16.

Mikael making a profit from bike bags: Mikael spends $4 to make a bike bag, sells it for $5, and has made a profit of $16. To determine how many bags he sold (x), we can use the equation that accounts for profit, which is the selling price minus the cost of making the bag, multiplied by the number of bags, equals the profit: (5 - 4)x = 16.

Temperature drop: The temperature started at 16°C and dropped at a rate of 4°C per hour until it reached 5°C. To find the number of hours (x) it took for the temperature to drop, we can use the equation that links the initial temperature, minus the drop per hour times the number of hours, equals the final temperature: 16 - 4x = 5.

Now, we can clearly match the equations to their situations:

The situation where an adult and children rent skates corresponds to the equation 4 + 5x = 16.

Mikael making a profit from selling bike bags is represented by the equation (5 - 4)x = 16.

The decrease in temperature over time until it reached 5°C is described by the equation 16 - 4x = 5.

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What is the substance that suspends pigment, or color Presented below is information related to Bramble Enterprises. Jan. 31 Feb. 28 Mar. 31 Apr. 30 Inventory at cost $17,100 $17,214 $19,380 $15,960 Inventory at LCNRV 16,530 14,364 17,784 15,162 Purchases for the month 19,380 27,360 30,210 Sales for the month 33,060 39,900 45,600From the information, prepare (as far as the data permit) monthly income statements in columnar form for February, March, and April. The inventory is to be shown in the statement at cost; the gain or loss due to market fluctuations is to be shown separately (using a valuation account). gAssume that you are writing a program to merge two files named FallStudents and SpringStudents. Each file contains a list of students enrolled in a programming logic course during the semester indicated, and each file is sorted in student ID number order. After the program compares two records and subsequently writes a Fall student to output, the next step is to _________. Yolanda is 24, Zachary is 44, and Andrew is 73. Assume that each successfully completed the psychosocial crisis associated with his or her current stage according to Erikson. Which alternative CORRECTLY matches each individual with his or her developmental outcome?A. Yolanda: intimacy; Zachary: generativity; Andrew: wisdomB. Yolanda: wisdom; Zachary: intimacy; Andrew: generativityC. Yolanda: intimacy; Zachary: wisdom; Andrew: generativityD. Yolanda: generativity; Zachary: intimacy; Andrew: wisdom Which of the following is an example of a rational number?Question 12 options:A) 3.B) 3.456733244C) D) The Tiananmen Square protests, like the anti-Apartheid movement, represent efforts:A. In the pursuit of freer gov'tsB. To resist western influenceC. of an uneducated majority against minority ruleD. to stop the spread of communism A 62.2-kg person, running horizontally with a velocity of 3.80 m/s, jumps onto a 19.7-kg sled that is initially at rest. (a) Ignoring the effects of friction during the collision, find the velocity of the sled and person as they move away. (b) The sled and person coast 30.0 m on level snow before coming to rest. What is the coefficient of kinetic friction between the sled and the snow Multiply the polynomials. (2x+1)(x5) [related to solved problem #3] suppose that andy sells basketballs in the perfectly competitive basketball market. his output per day and his costs are as follows: output per day total cost variable cost average total cost average variable cost marginal cost 0 $10.00 $0 -- -- -- 1 15.00 5 $15.00 $5.00 $5.00 2 17.50 7.50 8.75 3.75 2.50 3 22.50 12.50 7.50 4.17 5.00 4 30.00 20.00 7.50 5.00 7.50 5 40.00 30.00 8.00 6.00 10.00 6 52.50 42.50 8.75 7.08 12.50 7 67.50 57.50 9.64 8.21 15.00 8 85.00 75.00 10.63 9.38 17.50 9 105.00 95.00 11.67 10.56 20.00 suppose the equilibrium price of basketballs is $2.50. in the short run, how many basketballs will andy produce? 22 (enter a whole number). What actions did Truman make to further civil rights