What is the area of triangle ABC

What Is The Area Of Triangle ABC

Answers

Answer 1

Answer:

A = 24 cm²

Step-by-step explanation:

The area (A) of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × AB × AC

Calculate AC using Pythagoras' identity

AC² + AB² = BC²

AC² + 6² = 10²

AC² + 36 = 100 ( subtract 36 from both sides )

AC² = 64 ( take the square root of both sides )

AC = [tex]\sqrt{64}[/tex] = 8

Then

A = 0.5 × 6 × 8 = 24 cm²


Related Questions

convert 34% to a simplified fraction

Answers

Answer:

17/50

Step-by-step explanation:

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if the simple interest on 2000 for 4 years is 4000 then what is the interest rate

Answers

Answer:

Principal = Rs 2000

Time = 4 years

Interest = Rs 400

Now, Interest= Principal×Rate×Time/100

400= 2000×R×4/100

R= 400×100/2000×4

Step-by-step explanation:

Hope it is helpful....

If a coordinate was dilated from (-3, 2) to (-6, 4), what was the scale factor used?

Answers

Given:

A coordinate pair was dilated from (-3, 2) to (-6, 4).

To find:

The scale factor.

Solution:

We need to divide the coordinate of dilated point by the corresponding coordinate of original point to find the scale factor.

The value of scale factor is:

[tex]k=\dfrac{x\text{-coordinate of image}}{x\text{-coordinate of original point}}[/tex]

[tex]k=\dfrac{-6}{-3}[/tex]

[tex]k=2[/tex]

Therefore, the scale factor is 2.

8. a number increased by five and then divided by two

Answers

Answer:3

Step-by-step explanation:

1+5=6

6/2=3

Answer:

3

Step-by-step explanation:

38. Data berat badan sekelompok anak adalah: 9, 17, 8, 12, 15, 15, 13, 10, 12, 10.

Median data tersebut adalah

Answers

Answer:

12

Step-by-step explanation:

Median data dihitung sebagai

= 1/2 (n + 1) suku ke-1

Dimana n = Jumlah suku

= 10

Langkah 1

Kami mengatur ulang

8, 9, 10, 10, 12, 12, 13, 15, 15, 17

Langkah 2

Suku 1/2 (n + 1)

1/2 (10 + 1) istilah

= 11/2 istilah

= 5,5 suku

Istilah ini antara istilah ke-5 dan ke-6

Suku ke-5 = 12

Suku ke-6 = 12

= 12 + 12/2 = 24/2

= 12

Median data adalah 12

Pencils cost $.10 and erasers cost $0.25. steve bought 5 more pencils than erasers. he spent a total of $1.55. how many erasers did steve buy?

Answers

Answer:

Let x be the number of pencils Steve bought.

Let y be the number of erasers Steve bought.

x=y+5

0.1x + 0.25y = 1.55

Solving the system, our answer is: (8, 3)

So, she bought 3 erasers.

Let me know if this helps!

A fruit seller brought 120 oranges for rs 500 and spent rs 60 for parking them into 10 boxes each containing a dozen oranges. If he sold a dozen of oranges for rs 58.8, find the profit percentage I know the answer it is 5% but I need the explanation for it in picture format it is also ok but in neat handwriting pls help

Answers

Answer:

First, we know that he spent rs500 plus rs60 in the whole process, then the total cost is:

C = rs500 + rs60 = rs560

Now he sells the oranges in packs of 12, then if he has 120 oranges, the total number of packs that he can sell is:

120/12 = 10

So he has 10 packs of 12 oranges.

And he sells each one for rs58.8

Then if he sells the 10 packs, the total revenue is:

R = 10*(rs58.8) = rs588

The profit is the difference between the revenue and the cost, here the profit is:

P = R - C = rs588 - rs560 = rs28

And the profit percentage is calculated as follows:

(P/C)*100%

Where P = profit and C = cost, then we have:

(rs28/rs560)*100% = 5%

Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths. 4 m, 8 m, 9 m *

Answers

Answer:

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

a + b > c;   a + c > b;   b + c > a

Given a triangle with side length 4 m, 8 m, 9 m:

4m + 8m = 12m > 9m

4m + 9m = 13m > 8m

8m + 9m = 17m > 4m

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.


A central angle 0, in a circle of radius 4 ft intercepts an arc length of 50 ft.
Calculate the radian measure of 0.

Answers

Given:

The central angle = [tex]\theta[/tex]

Radius of the circle = 4 ft

Intercepted arc length = 50ft

To find:

The value of [tex]\theta [/tex] in radian measure.

Solution:

The formula for arc length is

[tex]s=r\theta[/tex]

where, r is radius and [tex]\theta [/tex] is the central angle in radians.

Putting s=50 and r=4, we get

[tex]50=4\theta[/tex]

Divide both sides by 4.

[tex]\dfrac{50}{4}=\theta[/tex]

[tex]12.5=\theta[/tex]

Therefore, the value of [tex]\theta [/tex] is 12.5 radians.

Asap someone help me

Answers

Answer:

x= 11.4

Step-by-step explanation:

for the base of the triangles BC is 15 and DF is 5 so if 5 times 3 is 15 then you are reducing the other triangle to a third of the big triangles size. so 3.8 times three is 11 4

Ken had 80 rubber bands, he sold 10 and 10
got damaged. How many good rubber bands
were left with Ken? What percentage of
rubber bands were left?​

Answers

80-20=60
He has 75% of his rubber bands left.

Answer:

60 were left with Ken, and that is 75%

Step-by-step explanation:

80-10 = 70

70-10 = 60

60/80 = x/100, simplify & cross multiply

6/8 = x/100

600 = 8x

x = 75

Find the area of the composite shape below.

Answers

Answer:

4,368 please I hope it is correct I used a calculator

Help Me, Now! C. At what value of x will each function equal 90? Both functions will equal 90 when x = ​

Answers

Answer:

When x=2

Step-by-step explanation:

Well in the first one it tells you that 2x is 90.

In the second it's y=40x+10

So you plug 2 in as the x.

y=40(2)+10

y=80+10

y=90

Hope this helps

Answer:

Step-by-step explanation:

help me find the value of x!

Answers

The answer would be 15.
Since the triangles are congruent, you can set up a relation like this and solve:

32 (3x - 5)
—- = ————
56 (5x - 5)

x = 15

Is 5 a solution of 5a − 9 = 26

Answers

No.

5a-9=26 add 6 to both sides, 5a=35 Divide by 5, a=7 not 5.

Vgvhgvhgvugvugvhjbjhbjhbjh

Answers

Answer:

d or c is the answer of the question

C is the answer because it is obvious

ANSWER THIS HURRYYYYYY

Answers

Answer:

I believe its B, sorry if im wrong

Step-by-step explanation:

Select all values that would make the following inequality true: x ≥ -10

-10

-14

-2

0

Answers

Answer:  -10; -2; 0

Step-by-step explanation:

≥ means greater or equal than.

-10 is equal -10, true.

-14 is less than -10, so false.

-2 is greater than -10, true

0 is greater than -10, true

so the answer is -10, -2 and 0 can make this inequality true.

Leon got a reduction of $40 on a Geometry set
which was marked $480.
(a) What fraction was the reduction?
(b) What percentage was the reduction?
(c) What percentage of the cost did Leon
pay for the Geometry set?​

Answers

Answer:

i need help please with my maths

Step-by-step explanation:

What is the answer of this question ?

Answers

Answer:

Step-by-step explanation:

They are both C3H8

There are

3 carbons

8 hydrogens

Or put in the form that the table is written

Element          # of atoms  

Hydrogen           8

Carbon                3

What is the standard form of the following equation?
y= 2(x - 1)^2 + 4

A) y = 2x2 + 4
B) y = 2x² - 4x + 8
C) y = 2x2 – 2x + 4
D) y= 2x2 - 4x + 6​

Answers

y = 2(x - 1)² + 4

y = 2(x² - 2x + 1) + 4

y = 2x² - 4x + 2 + 4

y = 2x² - 4x + 6

If a triangle measures 180 degrees, and you know that one of your angles = 90, and another angle = 45, what is the measure of the third angle?

Answers

90+45=135
180-135=45
the measure of the third angle is 45

Answer:45

Step-by-step explanation:

Well just take the sim of the two given angles then subtract them from the total measure of the triangle which is 180

New York has an area of 49,108 square miles. Vermont has an area of 9,614 square miles. How much larger is New York than Vermont?​

Answers

Answer:

39,494 square miles

Step-by-step explanation:

Simple: 49,108-9,614= 39,494 square miles

how do you know when the square root of a positive integer is simplified

Answers

Answer: Simplifying a square root just means factoring out any perfect squares from the radicand, moving them to the left of the radical symbol, and leaving the other factor inside the radical symbol. If the number is a perfect square, then the radical sign will disappear once you write down its root. hope this helps can u give me brainliest or use this link it can help u

Step-by-step explanation:

solve the problem attached in the image

Answers

Answer:

no te entiendo

yo también la busco

Answer:

1) 4 hours  2) 144 miles  3) 12 miles

Step-by-step explanation:

60/5=12

72/6=12

120/10=12

180/15= 12

1) 48 miles / 12 miles = 4 hours

2) 12 hours x 12 miles = 144 miles

3) 1 hour x 12 miles = 12 miles

WILL MARK BRAINLIEST

Enter the values for the following composite transformation.

Translate
units left and _____ units down, then rotate _____°.

Answers

Answer:

down 6,right 4, rotate 180 degrees assuming we are starting from the blue heart.

Step-by-step explanation:

2) Solve the system of equations using substitution.
2x -- 9y = 14
x = -6y +7

Answers

Answer:

x= 7, y=0 (7,0)

Step-by-step explanation:

x = 7 and y = 0 those are the answers

7 times the quantity y divided by 4

Answers

1.75 is the answer. Hope this helps.

The set of ordered pairs {(-2, 4), (x, 1), (1, 3), (2, 4)} is a function. Which is a possible value for x?
A. -2 B. 1 C. 2 D.3

Answers

Answer:

1

Step-by-step explanation:

A city has a population density of approximately 6,300 people /km2. The population is about 552,200 people. What is the approximate area of the city

Answers

Answer:

Step-by-step explanation:

552,200 people × (1 km²)/6,300 people) ≈ 87.65 km²

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