PLEASE HELP
You will take a test containing two types of questions, multiple choice and free response. MC questions are worth 4 points each and free response are worth 7 points each. You must answer at least 4 of the MC and no more than 10 you must answer at least 3 FR questions, but no more than 10. Total, you may only answer 18 questions. How many type of each question must you answer to maximize your score.

Answer:

48 made a purchase

Step-by-step explanation:

8% of 600

= [tex]\frac{8}{100}[/tex] × 600 ( cancel 100 and 600 by 100 )

= 8 × 6

= 48

[tex] \tan(60) = \frac{x}{ \sqrt{7} } [/tex]

[tex] \sqrt{3} = \frac{x}{ \sqrt{7} } [/tex]

[tex]x = \sqrt{21} [/tex]

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ

Answer:

√21

Step-by-step explanation:

30, 60, 90 triangle

Across from 30 is a, across from 60 is a√3

So, √7√3 is √21

Answer:

2x + 2

Step-by-step explanation:

x^2 -4x +x +2 =

x^2 -3x +2         now add 2x + 2

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

An equation is an expression that shows the relationship between two or more numbers and variables.

a) Volume of cylinder = π * radius² * height

461.58 = 3.14 * radius² * 3

radius = 7 in

b) Volume of cone = (1/3) * π * radius² * height

Volume = (1/3) * 3.14 * (12/2)² * 12

Volume = 452.2 unit³

c) Volume of sphere = (4/3) π * radius³

Volume of sphere = (4/3) * 3.14 * 7³

Volume = 1436 in³

d) Volume of sphere = (4/3) π * radius³

407.51 = (4/3) * 3.14 * radius³

Radius = 7.3

Diameter = 14.6 units

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

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Answer:

35.64 km / hour

Step-by-step explanation:

100m = 10.1s

100/10.1 m per second

3600 seconds in a hour

100/10.1 X 3600 = 35643.56436

= 35.64356436 km per hour

First, an angle in a triangle is always less than 180.

An obtuse angle is defined to be greater than a right angle, but less than 180. Since angle ABC is not an obtuse angle, its measurement must be 90 degrees or less.

Angle ABC = x + 3x + 30 = 4x + 30
Since we want x to has its greatest value, angle ABC must also have its greatest value ( -> 90)

Now, we find x : (90-30)/4 = 15

So, the greatest value of x is 15. (recheck : 15 + 15 x 3 + 30 = 90)

[tex]3\times \dfrac 7{12} = \dfrac{3 \times 7}{12}=\dfrac{3 \times 7}{3 \times 4} = \dfrac 74[/tex]

Answer:

Step-by-step explanation:

Use a volume formula.

Volume formula:

[tex]\Longrightarrow:\sf{V=L*W*H}[/tex]

Multiply.

[tex]\sf{3*3*3=\boxed{\sf{27}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

They did the multiplication incorrectly

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.

AB=CD

To identify whether or not a triangle is a right triangle, it must satisfy the pythagorean theorem :  [tex]a^{2}+ b^{2} =c^{2}[/tex] (where a;b;c represent the 3 sides, and c being the hypotenuse)

Replace the lengths :
Triangle 1 : [tex]1^{2} + 610^{2} \neq 810^{2}[/tex] (not right triangle, also does not satisfy the triangle inequality, so not a real triangle)
Triangle 2 : [tex]7^{2} + 7^{2} \neq 13^{2}[/tex] (not right triangle)
Triangle 3 : [tex]313^{2} + 413^{2} \neq 513^{2}[/tex] (not right triangle)

So, correct answer is D

Answer:

The answer is 140 degrees.

Step-by-step explanation:

It is closer to 90 degrees than 180 degrees, but it is greater than 90 degrees and bigger than 180 degrees.

Hope this helps.

The radius of the water bottle to the nearest hundredth is 2.01 cm

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

h is the height  = 8.1cm

Volume = 103 cubic cm

Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

Learn more on volume of cylinder here: https://brainly.com/question/9554871

Answer:

It should be D.

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-3x+y=-7

-3x+y-2

-7-2=-9

can't really see the graph but it's probably 18

Step-by-step explanation:

11

because the first digit after the point make the the nearest whole number

if the digit is up to 5 and above then we can round up the next digit but if it's less than 5 you can't do anything

Ronnie's purchase is not an example of impulsive buying because he had an intention to buy electronic device Impulsive Buying

Impulsive buying is simply a situation buyers are faced with when they purchase items they do not really need or no intention prior to the time of purchase.

However, in this situation Ronnie purchase is not an example of impulsive buying because he had intention to purchase an electronic device, hence he walked into and electronic store.

Learn more about impulsive buying here:https://brainly.com/question/24260

Answer:

Interactive

Step-by-step explanation:

[tex]\textbf{7).}\\\\2g^2 +5g+3\\\\=2g^2 +3g+2g+3\\\\=g(2g+3)+(2g+3)\\\\=(g+1)(2g+3)\\\\\\\textbf{10).}\\\\-6k^2+5k+21\\\\=-(6k^2 -5k-21)\\\\=-(6k^2-14k+9k-21)\\\\=-\textbf{[}2k(3k-7)+3(3k-7) \textbf{]}\\\\=-(2k+3)(3k-7)\\[/tex]

The experimental probability of a blue outcome is its likelihood

The experimental probability of blue is 0.4

The number of trials is given as:

Trials = 5

The outcomes of blue is given as:

Blue = 2

The experimental probability of obtaining a blue outcome is:

P(Blue) = Blue/Trials

This gives

P(Blue) = 2/5

Evaluate the quotient

P(Blue) = 0.4

Hence. the experimental probability of blue is 0.4

Read more about probability at:

https://brainly.com/question/251701

Answer:

  25.5

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between angles and sides and trig functions in a right triangle. Here, the side adjacent and the side opposite the marked angle are also marked. That means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(49°) = x/(22.2 m)

Multiplying by the denominator, we get ...

  x = (22.2 m)tan(49°) ≈ 25.5 m

The unknown side is about 25.5 meters.

To solve this problem, let's first understand the information given

   ⇒ says that 150% of expected people showed up

        ⇒ the number of expected people is 340

            ⇒ means 150% of 340 is the number of people who showed up

                ⇒ written mathematically 150% is equivalent to 150/100.

To find the exact number of people we must time 150/100 to 340

   [tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]

That means 510 people showed up

Hope that helped!

Answer:

x = 10.76 cm

Step-by-step explanation:

[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]

[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]

Hope this helps