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4 years ago

Kevin can travel 22 1/2 miles in 1/4 hours . What is his average speed in miles per hour

Mathematics

1 answer:

Zanzabum4 years ago

3 0

Just do 22 1/2 divided by 1/4 which is:

90 mph

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TRUE OR FALSE: F(x)=-3(x+2)(x-5)^3>0 when x<-2 or x>5 PLEASE HELP!!!!

Hitman42 [59]

F(x) = -3(x + 2)(x - 5)^3 > 0
(x + 2)(x - 5) > 0
x + 2 > 0 or x - 5 < 0
x > -2 or x < 5
-2 < x < 5

Therefore, the stated interval is false.

6 0

3 years ago

A dose of medicine is made by diluting one part of concentrate to 5 parts of water. How much of the concentrate should there be

Anastasy [175]

Answer:

15 ml

Step-by-step explanation:

If we mix 1 part concentrate and 5 parts water, we have 6 parts in total.

To create 90ml medicine, how many "6 parts" are there?

There would be 90/6 = 15 total "6 parts".

Each of the "6 parts's" 1 part is concentrate, so concentrate would be 1 * 15 = 15 ml.

In ratio:

$\frac{Concentrate}{Total(Water+Concentrate)}=\frac{1}{5+1}=\frac{1}{6}\\\frac{1}{6}*90=15$

6 0

3 years ago

A right triangle has side lengths 7, 24, and 25 as shown below.

Alla [95]

9514 1404 393

Answer:

tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

tan(A) = 7/24

sin(A) = 7/25

cos(A) = 24/25

5 0

3 years ago

Point O is the center of the circle. What is the value of X? Answer options: 24, 15, 27, 20

Tanya [424]

Answer: FIRST OPTION

Step-by-step explanation:

To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

$(Tangent\ line)^2=(Secant\ line)(External\ Secant\ line)$

The total measure of the secant shown is:

$18+Diameter$

If the radius is 7, then the diameter is:

$D=7*2=14$

Therefore:

$Secant\ line=18+14=32$

You also know that:

$External\ Secant\ line=18\\Tangent\ line=x$

Keeping the above on mind, you can substitute values and solve for x:

$x^{2}=32*18$

$x=\sqrt{576}\\x=24$

4 0

3 years ago

A side of 6 feet, and a 120° angle A. One B. None. C. Many

pshichka [43]

Answer:

C. Many ang sagot............

5 0

3 years ago