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kari74 [83]
3 years ago
9

Add the two expressions. 8k + 4 and 3k + 8 Enter your answer in the box.

Mathematics
2 answers:
ANTONII [103]3 years ago
7 0
11k+12 is the answer


Hunter-Best [27]3 years ago
3 0

Answer:

I belive the answer is 11k+12

Hope this helped you!

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Help!! Can someone explain this to me I’m not getting it.
chubhunter [2.5K]

Answer:

A. 99 sq cm

Step-by-step explanation:

Area of geometric shape

= 2 times the area of one triangle with base a and height c

+ 2 times the area of one triangle with base c and height b

+ Area of rectangle with dimensions a and c.

= 2 \times  \frac{1}{2} ac + 2 \times  \frac{1}{2} bc + ac \\  \\  = ac + bc + ac \\  \\  = 2ac + bc \\  \\  = 2(13)(3) + 7(3) \\  \\  = 78 + 21 \\  \\  = 99 \: sq \: cm

3 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f
olasank [31]

Answer:

\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}

The area of its dilated image EFGH is

\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}

8 0
3 years ago
Need help with this. Show your steps so I could check my work and my answer.
andrezito [222]

Answer:

25

Step-by-step explanation:

The angle at C is 90 degrees, and BCD is a right triangle, so we can applythe Pythagorean theorem here -- 60²+m²=65², so 65²-60²=m²=625. The possible values for m are 25 and -25, and since m can't be negative, 25 is our answer as 25 is the square root of 625

8 0
3 years ago
Need help on geometry please right answer only I’m giving out 40 points
Juliette [100K]
Answer: first option 392.699 square feet.


Explanation:

1) The shape of the sidewalk is an ring with exterior radius equal to the radious of the fountain + 5 feet and inner radius equal to the radius of the fountain.

2) The area of such ring is equal to the area of the outer circle less the area of the inner circle (the fountain)

Area of a circle = π × r²

Area of the outer circle: π (10ft +  5 ft)² = π (15 ft)² = 225 π ft²

Area of the inner circle = π (10ft)² = 100 π ft²

Area of the ring  (sidewald) = 225π ft² - 100π ft² = 125π ft² = 392.699 ft²
6 0
3 years ago
Read 2 more answers
If you reflect the image over the x - axis, what are the new coordinates of the shape?
lutik1710 [3]

Greetings!

When reflecting a shape over the x-axis, you simply change the number to its opposite positive/negative equivalent.

This means that the new co-ordinates would be (-5,1) , (-5,4) and (-2,4).


Hope this helps!

8 0
3 years ago
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