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3 years ago

Evaluate each expression for the given value of the variable. 4(d + 7); d = 2

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

36 ugugivihihigugufufuf

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Consider the equation 2x+1=16

Aliun [14]

Step-by-step explanation:

2x + 1 = 16

2x = 15 (subtract 1 on both sides)

x = 7.5 (divide 2 om both sides)

Since 7.5 is not an integer, (a) is No.

However 7.5 is rational, therefore (b) is Yes.

6 0

3 years ago

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The median number of goals scored by 7 players in a certain soccer season is 5. The range of the number of goals scored by those

OLEGan [10]

True true true true

3 0

3 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

Find the distance between (1,0) and (9, 15).<br> Distance =

Mnenie [13.5K]

Answer:

d = 17

Step-by-step explanation:

d = √ (9 − 1) 2 + (15− 0)^2

d = √ (8) ^2 + (15) ^2

d = √ 64 + 225

d = √289

d = 17

6 0

3 years ago

Can someone help me correct number 6 please and thank you! Please Explain and Show Your Work!

NNADVOKAT [17]

Answer:

You have your x and y mixed up

Step-by-step explanation:

Look at your table. You labeled y1 and y2 where the x's are. y2 = 8, y1 = 4, x2 = 12 and x1 = 6. The slope then is (8-4)/(12-6) which is 4/6 or 2/3. You did run over rise instead of rise over run. Be careful. I see that a lot when I teach the concept to beginners.

4 0

3 years ago