Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)

Answer:

7√3

Step-by-step explanation:

tan 60° = x/7

√3 = x/7

x = 7√3

Answer:

3.44.

Step-by-step explanation:

We can see that in this square, the radii of the semicircles are 2. Using that, we can calculate that the area of each one is 6.58. Both combined is 12.56. Now, the original area of the circle was 16. 16 minus 12.56 is equal to 3.44, so the area of the shaded region is 3.44.

Answer:

3.44

Step-by-step explanation:

enter it just like that in ape x

I can't make out what the radius of the sphere is, but the equation you're looking for is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

For example:

If the radius of a sphere is 5 m, it's volume would be,

[tex]V=\frac{4}{3}\pi (5)^3[/tex]

[tex]V=\frac{4}{3} (3.14)(5)^3[/tex]

[tex]V=\frac{4}{3}(3.14)(125)[/tex]

[tex]V=523.6 m^3[/tex]

Answer:

let kiran's age be x

kiran's father's age is 65

acc.to ques

kiran's father is 8 years older than 3 times kiran's age ....which gives us the equation as follows

8+3x =65

therefore

3x =65-8

3x =57

x =57/3

x= 19 ans

so kiran's age is 19 years.

Answer:

kiran is 19 years old.

Step-by-step explanation:

kiran's father age = 65

let kiran's age be x

kiran's father is 8 years older than three times kiran's age means 8 + 3x

so according to the question equation is

65 =  8 + 3x

65 - 8 = 3x

57/3 = x

19 = x

therefore kiran's age is 19 years.

Answer:

(3 , 0 )

Step-by-step explanation:

At x-axis, y-co ordinate is 0

So, (3,0)

Answer: (3, 0)

Step-by-step explanation: The x-intercept is a point where a line crosses the x-axis and it's important to understand that all x-intercepts have a y-coordinate of zero. So the point (3, 0)  is the x-axis.

In the picture below, I have plotted a few points including the point

in this problem to show you that all x-intercepts have a y-coordinate of zero.

Answer

IS 2/4

Step-by-step explanation:

1/3 = 4/12  1/4 = 3/12  4/12+3/12= 6/12 = 2/4

Answer:

8

Step-by-step explanation:

Answer:

Hi, there your answer is 4

Step-by-step explanation:

Answer:

C. [tex] 2 y^2 [/tex]

Step-by-step explanation:

[tex]( {3} \degree {y}^{2} ) \times \: 2(xy) \degree \\={3} \degree {y}^{2} \times \: 2\times x \degree\times y \degree \\=1 {y}^{2} \times \: 2\times 1\times 1 \\ = {y}^{2} \times 2 \\ = 2 {y}^{2} [/tex]

Answer:

75 %

Step-by-step explanation:

Answer:

second option : the side length was multiplied by 5.

Step-by-step explanation:

a = side length of the original square

A² = a×a

(a+5)×(a+5) = a² + 10a + 25

and that should be equal to a²×25

a² + 10a + 25 = 25a² ?

10a + 25 = 24a²

no, that is not true for all a

a×5 × a×5 = a²×25 = 25A²

this is the correct solution, as it is true for all a.

For the area to be  25a², the side length was increased by 5.

Let a be the side length of the original square, hence:

A = a²

Increasing the length by 5 will give:

(a+5)×(a+5) = a² + 10a + 25

Factorizing the result

a² + 10a + 25 = (a+5)²

a² + 10a + 25 = 25a²

This shows that for the area to be  25a², the side length was increased by 5.

Learn more on area of square here: https://brainly.com/question/25092270

Answer:

Step-by-step explanation:

tan x = 5.6/9.7

tan x = 0.57732

x = 29.9 to nearest tenth

I hope I'm correct if not I tried my best

bye :-)

Step-by-step explanation:

Let the increase in the size of the length and breath be 'x'.

The area of the rectangle = 12in × 8in

=96 in²

From the question,

(12+x)(8+x)=96×2 in²

or, 96+12x+8x+x²= 192

or, x²+20x+96-192=0

or, x²+20x-96=0

or, x²+24x-4x-96=0

or, x(x+24)-4(x+24)=0

or, (x-4)(x+24)=0

Either, Or,

x-4=0 x+24=0

Therefore, or, x= –24 (Which is impossible)

x=4

So the new dimensions are 12+4=16 inch and 8+4=12 inch.

Answer:

221

Step-by-step explanation:

Substitute x = 7 and y = 8 into the expression

5(7)² - 3(8)

= 5(49) - 24

= 245 - 24

= 221

Answer:

-2/5

Step-by-step explanation:

( -8/ 125) ^ 1/3

We know (a/b) ^ 1/3 = a^ 1/3  / b^1/3

( -8) ^ 1/3  / ( 125) ^ 1/3

Rewriting

( -2^3) ^ 1/3  / ( 5^3) ^ 1/3

We know that a^b^c = a^(b*c)

-2^(3* 1/3)  / 5^(3 * 1/3)

-2 / 5

Answer:

-2/5

Step-by-step explanation:

Answer:

f/9

Step-by-step explanation:

n + 5/5 = f + 9/9

do cross multiplication

5(f+9)=9(n+5)

5f+45=9n+45

5f=9n+45-45

5f=9n+0

f/9 = n/5

Answer:

8*8+12*3=100 is the answer

Answer:

D

Step-by-step explanation:

It is a 30, 60, 90 triangle

if the leg on the same side as the 90 degree angle is [tex]14\sqrt{3}[/tex], then:

The base is 14, and the hypotenuse is 28

In this type of triangle:

the base [tex]\sqrt{3}[/tex] is the other leg

and 2 times the base is the hypotenuse

so x=14, and y=28

Answer D

Answer:

x = y − 4

Step-by-step explanation:

y=x+4

Step 1: Flip the equation.

x+4=y

Step 2: Add -4 to both sides.

x+4+−4=y+−4

x=y−4

Answer:

x=y−4

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it the only one that make sense

Answer:

Option B is correct

Step-by-step explanation:

Doug is x years old, so Byron is x+3 years old. The product of their ages would then be x times x+3:

x(x+3) = 40

x2 + 3x = 40

x2 + 3x + 40 = 0

Now, factor the equation:

(x+8)(x-5) = 0

Then, solve for both values of x:

x+8 = 0

x = -8

x-5 = 0

x = 5

As no one can have a negative age, we simply disregard x=-8 as invalid. Therefore, Doug is 5 years old & Byron must be 5+3 - or 8 years old.

Answer:

Doug is 10 years old; option A

Step-by-step explanation:

set up expressions using the information you already know:

B (byron)

D (doug)

B = D + 3

B * D = 40

you can now solve by plugging in an expression for the variable B in the second equation.  

D + 3 * D = 40

D + 3D = 40

(combine like terms)

4D = 40

(divide by 4 on both sides to isolate the variable and balance the equation)

4D/4 = 40/4

D = 10

So, the answer is A; Doug is 10 years old

Answer:

I think its C

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If its correct please give brainliest

Answer:

$1.50

Step-by-step explanation:

25% of 6 is basically just 6/4, which is 1.5.

This is money we're talking about, so the answer is $1.50

Answer:

{x,y}={5,-3}

Step-by-step explanation:

Answer:

6a. 26

6b. 60%

6c. 33.3% or just one-thrid

7. 80.925 rounded is $80.93

8. 240

9. 25

10. 54%

Step-by-step explanation:

brainliest please!

Answer:

Step-by-step explanation:

chocolate donuta= 35% of 40

=[tex]\frac{35}{100} *40[/tex]

=[tex]\frac{1400}{100}[/tex]

=14

chocolate donuts=14

a.donuts that are not chocolates=40-14

=26

b.donuts with sprikles=24

percent of donjts with sprikles=24/40 *100%

=(2400/40)%

=60%

c.donuts that have cream filling out of donut that have sprikles=8

percent of donuts which have sprikles with cream filling=8/24*100%

=(800/24)%

=33.33%

7.final cost=35% of $124.50

=35/100 *$124.50

=$4357.5/100

=$43.575

8.48% 0f 500

=48/100 *500

=48*5

=240

9.let the number be x

15=60% 0f number

15=60/100 *x

15/x=60/100

do cross multiplication

x*60=15*100

x=1500/60

x=25

therefore the number is 25.

10.let the percent be y%

90=y% of 60

90=y/100 *60

90*100=60y

9000/60=y

y=150 %

therefore 150% 0f 60 is 90

Answer:

C

Step-by-step explanation:

The interior angles means the angles inside the triangle