Find the value of x in the triangle

Answer:

3.6 cm

Step-by-step explanation:

Note that:

Area = 1/2 x perimeter x apothem.

To find the Apothem, the formula =

Area ÷ (1/2 × Perimeter)

Area = 100.8cm²

Perimeter = 56 cm

Hence,

Apothem =

100.8 cm² ÷ (1/2 × 56 cm)

= 100.8cm² ÷ 28cm

= 3.6 cm

Therefore, the Length of the apothem is 3.6 cm

Answer:

The answer is D or 36

Step-by-step explanation:

Divide the cups by servings

9/.25=36

Answer:

Attached below

Step-by-step explanation:

Given that A is a matrix with independent rows

A) Prove [tex]AA^{T}[/tex] is invertible

rank of A = number of rows of Matrix A

This shows that | A | ≠ 0  ( i.e. A has a full rank )

also  [tex]|A^{T} |[/tex] ≠ 0

and [tex]|AA^{T}|[/tex] = | A | [tex]|A^{T} |[/tex]   ≠ 0

Hence we can conclude that [tex]AA^{T}[/tex] is invertible

B) Prove that b is any vector in Col( A )

Attached below is the detailed solution

C) Mapping of Col ( A ) to Row ( A )

b is a non-zero vector hence AXr = 0 ( i.e. there is no solution )

also the kernel of the mapping will be Null

show that mapping preserves the operation

attached below is the detailed solution

Step-by-step explanation:

you can use that same formula to answer that same question

The volume of the rectangular prism is [tex]6.75ft^{3}[/tex]

Diagram of a rectangular prism is shown in the attachment below.

Given that:

the height (h) = 1.5 ft

base area (B) = 4.5 sq ft

Volume of rectangular prism (V) [tex]= Bh[/tex]

Plug in the known values into the formula:

[tex]V = 4.5 \times 1.5\\V = 6.75 ft^{3}[/tex]

Volume of the rectangular prism is [tex]6.75ft^{3}[/tex]

Learn more about rectangular prism here:

https://brainly.com/question/11613210

Answer:

How do I ask a question on here?

Step-by-step explanation:

Answer:

B.6 points

Step-by-step explanation:

First you can see that one is bigger and taller and if you count on the number line it will be 18, and 18 has 6 dots so it is B which says 6 dots.

Answer:

30.8936

Step-by-step explanation:

Pressure guage reading is 8% lower than tbe actual pressure.

Therefore, for a tyre with guage pressure, 33.58 ;

The actual pressure of tyre would be :

Guage pressure - 8% of guage pressure

33.58 - (0.08 * 33.58)

33.58 - 2.6864

= 30.8936

Actual pressure = 30.8936

Answer:

Additive Property of Equality

Step-by-step explanation:

If we are discussing equations, then the property would be the Additive Property of Equality. It states that if we know something is added to both sides of an equation, the sides remain equal. If y+x=z+x, we know that y=z.

Given:

The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).

To find:

The area of the rectangle.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get

[tex]AB=\sqrt{(2-0)^2+(4-1)^2}[/tex]

[tex]AB=\sqrt{(2)^2+(3)^2}[/tex]

[tex]AB=\sqrt{4+9}[/tex]

[tex]AB=\sqrt{13}[/tex]

Similarly,

[tex]BC=\sqrt{(6-2)^2+(0-4)^2}[/tex]

[tex]BC=\sqrt{(4)^2+(-4)^2}[/tex]

[tex]BC=\sqrt{16+16}[/tex]

[tex]BC=\sqrt{32}[/tex]

[tex]BC=4\sqrt{2}[/tex]

Now, the length of the rectangle is [tex]AB=\sqrt{13}[/tex] and the width of the rectangle is [tex]BC=4\sqrt{2}[/tex]. So, the area of the rectangle is:

[tex]A=length \times width[/tex]

[tex]A=\sqrt{13}\times 4\sqrt{2}[/tex]

[tex]A=4\sqrt{26}[/tex]

[tex]A\approx 20[/tex]

Therefore, the area of the rectangle is 20 square units.

Answer: 240.6cm *squared*

Step-by-step explanation:

Surface Area= (2 x Area of 1st face) + (2 x Area of 2nd face) + (2 x Area of 3rd face)

= (2 x 10.5cm x 5.4 cm) + (2 x 10.5 cm x 4.0cm) + (2 x 5.4cm x 4.0cm)

= 113.4cm*squared* + 84.0cm *squared* + 43.2cm *squared*

= 240.6cm *squared*

OR

= 2 x (sum of the 3 faces)

= 2 x (56.7cm * squared* + 42.0cm *squared* + 21.6cm *squared*)

= 2 x 120.3cm *squared*

= 240.6cm *squared*

Answer:

45

Step-by-step explanation:

Ratio is 2 baseballs to 3 golf balls you have 30 baseballs.

2×15= 30

3x15= 45

Answer:

y=x+12

Step-by-step explanation:

m (slope)=1

y-intercept=12

hope this helped have a great day :)

Answer:

72 is equal to 2 yards.

Explanation:

There are 36 inches in one yard.

(another way to look at this is there are 3 feet in one yard, each feet is 12 inches. So, 12 multiplied by 3 is equal to 36 inches, or one yard)

Then, since in this question we are finding out in relation to 2 yards, add 36 inches + 36 inches, and that is equal to 72 inches.

72 and 72 are equal :)

Answer:

Answer:

discovery of jupiter's mons which did not orbit earth

Step-by-step explanation:

Answer:

There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code. Suprisingly, people have an intense lack of imagination when it comes to choosing codes.

Answer:

14.04 ft^3

Step-by-step explanation:

2.4 ft x 4.5 ft x 1.3 = 14.04 ft^3

Answer:

c.) 7 units to the right

Step-by-step explanation:

A is 7 units away from A', B is 7 units away from B', and so on...

:)

Answer:

49

Step-by-step explanation:

1.21 x 49 = 59.29

Answer:

15.48 yd squared

Step-by-step explanation:

This is because 6 yards can be used as the radius of your circle. square your radius, so 6x6 which is 36 then multiply by 3.14. You then get 113.04. Since it is a semicircle, divide it by 2. You now get 56.52. If you know your radius, you know your diameter which is 12. 12 is also the length of the rectangle so 6x12 is 72 which is the area of the rectangle. Now subtract 56.52 from 72 to get 15.48 which is the shaded region of the rectangle. So I believe that you are doing yards, so 15.48 yd squared. I hope this helps :)

Answer:

9

Step-by-step explanation:

No.of words in

- 8 minutes = 72

- 1 minute = 72/8

                = 9

Answer:

9 words per every minute

Step-by-step explanation:

Theres 72 words in 8 minutes, so to get her words to minute, ratio you do 72 divided by 8 to get 9, words per minute.

Answer: x=4y+24

b=b

How to:  Solve in terms of the arbitrary variable  y  .

Have a great day and stay safe ! So sorry if im wrong .

Answer:

I’m not sure but I need this too!!

Step-by-step explanation:

Answer: your picture is blocked btw

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

If the area of a figure is 32 square centimeters then the length/breadth could be 8cm and 4cm or 16cm and 2cm.

Let’s assume that the the sides of the figure are doubled, if that’s the case then we would arrive at 8*2 * 4*2 or 16*2 * 2*2 in which 16*8 or 32*4 which will both result to 128 as the answer.

Answer:

B) If you use 9 cups of almonds, you need 5 cups of flour

Step-by-step explanation:

If 9 is your x-coordinate, that represents 9 cups of almond.

If 5 is your y-coordinate, that represents 5 cups of flour.

Therefore, B is correct

Answer:

the arc length of minor arc AC is

[tex] \frac{165}{360} .2\pi.3 = \frac{11\pi}{4} [/tex]