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3 years ago

Which expression correctly represents "nine less than the quotient of a number and four, increased by three?

Mathematics

2 answers:

Naddik [55]3 years ago

5 0

Answer: i don't know what the number is but i'll just put a random number

9∠1x4+3

Step-by-step explanation: i'm sorry if i'm wrong i tried my best

iVinArrow [24]3 years ago

4 0

Answer:

Step-by-step explanation:

((n / 4) - 9) + 3

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50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

6 0

3 years ago

Read 2 more answers

kathy plans to bake 2 types of cookies to take to the party. She needs to be sure she has enough ingredients. The chocolate chip

myrzilka [38]

Answer:

4 11/12

I hope I helped! (If I got it wrong, feel free to tell me I got it wrong)

7 0

3 years ago

Hat is the value of the expression –5x4 when x = –2?

sleet_krkn [62]

$\bold{Hey\ there!}$

$\bold{Assuming,\ you\ meant: -5(-2)^4}$

$\bold{If\ so\ follow\ these\ steps\downarrow}$
$\bold{(-2)^4=16}$
$\bold{(-5)\times 16=-80}$
$\boxed{\boxed{\bold {Thus,\ your\ answer\ is: -80}}}\checkmark$

$\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}$

~ $\frak{LoveYourselfFirst:)}$

7 0

3 years ago

Number 4 pleeeaaassseee

dmitriy555 [2]

This is simple, cycle through the answers until you get 30 inches squared. The answer is height equals 5. 2x3x5=30

8 0

3 years ago

Which of the following sets of ordered pairs does not represent a function?

Annette [7]

Answer:

b does ot represent a function

Step-by-step explanation:

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3 years ago