Determine the value of w. options: A) 90° B) 155° C) 89° D) 25°

Answer:

C

Step-by-step explanation:

An apothem is a line segment connecting the center of a regular polygon to the midpoint of its vertex.

Answer:

65

Step-by-step explanation:

The sum of the angles in a triangle is 180. In a right triangle, there is one 90 degree angle. If the second angle is 25, and 90+25+the last angle must add up to 180, simple math can find the value of the last angle.

180-90-25=65

Answer:

65

Step-by-step explanation:

right angle=90

[tex] {90}^{0} [/tex]

therefore 90-25=the third angle 65

Answer:

50%

Step-by-step explanation:

Enlarging it in the ratio 2:3 means dividing it by 2 and multiplying it by 3.

Lest's pretend the original size was 100 in. 100/2x3=150

So in this case we enlarged it by 50 in. which is 50% of 100.

So, the enlargement as a percentage is 50%

Answer:

50% more

3-2=1

1/2=0.5

0.5=50%

You can also double check by adding half of two and checking if it is 3

2 x 0.5 = 1

2 + 1 = 3

50% increase

Hope this helps

Step-by-step explanation:

Answer:

I think D, or 2 1/5

Step-by-step explanation:

Answer:

180 centimeters cubed.

Step-by-step explanation:

The volume of a cuboid is lwh.

Length × Width × Height

(9)×(5)×(4)

(45)×(4)

=180

Answer:

Solution,

[tex]volume \: of \: cuboid \\ = l \times w \times h \\ = 5 \times 9 \times 4 \\ = 180 {cm}^{3} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

Step-by-step explanation:

Circumference C=2πr  r=radius [tex]\pi =3.14[/tex]

C=2(3.14)9.7

C=60.9

Answer:

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Step-by-step explanation:

In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.

[tex]\text{total sodium} = 1310 + 350 = 1660 \text{ mg}[/tex]

We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:

[tex]\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}[/tex]

[tex]66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}[/tex]

The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.

Answer:

2,500 mg

1,310 + 350 = 1,660

1,660 is 66.4% of 2,500

Answer:

f(3) is 30

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Question:

Select the three expressions that are equivalent to [tex]6^2[/tex]:

a: [tex](\frac{6^9}{6^8})^2[/tex]

b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Answer:

a: [tex](\frac{6^9}{6^8})^2[/tex]

c: [tex]\frac{6^4}{6^2}[/tex]

d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

Step-by-step explanation:

Given

[tex]6^2[/tex]:

Required

Find equivalent expressions

To solve this question; we'll simplify options a to do, one after the other

a: [tex](\frac{6^9}{6^8})^2[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that;

[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]

[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]

From laws of indices;

[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]

This implies that

[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]

[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]

Hence,  [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]

b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]

[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]

Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]

c.  [tex]\frac{6^4}{6^2}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]

[tex]\frac{6^4}{6^2} = 6^{2}[/tex]

Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]

d.  [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]

From laws of indices;

[tex]a^m * a^n = a^{m+n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]

From laws of indices;

[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

This implies that

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]

[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]

Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]

Answer:

x = 4/(11y)

Step-by-step explanation:

22yx = 8

Solve for x so divide each side by 22y

22xy/22y = 8/22y

x = 4/(11y)

Answer:

3.078

Step-by-step explanation:

tan 72° = 3.078

Answer:

tan 72 = 3.078

Step-by-step explanation:

rounded like requested

Answer:

65°

Step-by-step explanation:

180°-50°:130°

130°÷2:65°

130° divide by 2 because the shape was isosceles triangle

Answer:

Option C.

Step-by-step explanation:

It is given that James earns $1000 weekly base pay as a sales-person.

We know that, we have 4 weeks in a month. So, monthly salary of james is

Monthly income [tex]=\$1000\times 4=\$4,000[/tex]

It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.

Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]

Total amount = Monthly income + Commission

          [tex]=\$4,000+\$2,000[/tex]  

          [tex]=\$6,000[/tex]  

Therefore, the correct option is C.

Answer:

After five hours, there will be 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Step-by-step explanation:

We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.

We are also given that the initial amount is 80 mg.

Using this information, we can write the following function:  

[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]

Where x is the number of hours that has passed.

Using this function, we can evaluate for f(5), f(10), f(1), and f(2).

They evaluate to:

[tex]f(5)=40[/tex]       [tex]f(10)=20[/tex]       [tex]f(1)\approx 69.6440[/tex]     [tex]f(2) \approx 60.6287[/tex]

So, after five hours, there are 40 mg of caffeine remaining in the blood.

After 10 hours, 20 mg of caffeine.

After only one hour, about 69.64 mg.

And after two hours, about 60.63 mg.

Answer:

4.4 km/h

Step-by-step explanation:

From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h

So the trick is to express the 30 minutes as 1/2 hour.

Answer:

4.4 km/h

Step-by-step explanation:

Answer:

32.13

Step-by-step explanation:

15.3= c/2.1

c= 15.3* 2.1

c= 32.13

Answer:

32.13 aka C got it right on my quiz

Mark the person on top as Brainliest there are right and answered first

Answer:

For mean

To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.

Then divide that total number by 40.

Step-by-step explanation:

Eg for 4 students

5 , 5.1, 5.2, 5.7 = 21ft

21/4 = 5.25ft.

Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.

Answer:

27 Oz of 25% alcohol

Step-by-step explanation:

--percent ---------------- quantity

Alcohol I 30 ---------------- 18 Oz

alcohol II 25 ---------------- x Oz

Mixture 27 ---------------- 18 + x Oz

30*18+25x=27(18+x)

540+25x =486+27 x

25x-27x =486+540

-2x=-54

/ -2

x = 27

27 Oz of 25% alcohol

Answer:

6 hrs

Step-by-step explanation:

4:5

2.4 : 3.2

2.4+3.2=6 hrs

Answer:

[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2

Step-by-step explanation:

Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.

Hope this helped you, Also please let me know if anything is unclear or wrong!

Answer:

Step-by-step explanation:

Answer:

x<12

Step-by-step explanation:

Divide both sides by 5

5(x+5) < 85

   5         5      

then simply

Answer:

x < 12

Step-by-step explanation:

[tex]5(x+5)<85\\\\5 * x = 5x\\\\5 * 5 = 25\\\\5x+25<85\\\\5x+25-25<85-25\\\\5x<60\\\\\frac{5x}{5}<\frac{60}{5}\\ \boxed{x<12}[/tex]

Answer: If you want to make more cookies then what is called for in this situation then you would need 6 cups of milk.

Step-by-step explanation: You have 2 cups of milk and 3 cups of flour of course. In order to make a complete batch you need 2 cups of milk and 3 cups of flour. In order to make a second batch you need the same things as you did for the first batch. Therefore two batches of cookies requires 4 cups of milk and 6 cups of flour. In this situation you want to make 3 batches of cookies. The required items are 6 cups of milk and 9 cups of flour.

Answer:

Rs 60

Step-by-step explanation:

[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]

[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]

[tex]5x(1.25)+5x(5/6)=625[/tex]

[tex]10.416667x=625[/tex]

[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]

[tex]x=59.99999...[/tex]

[tex]x=60[/tex]

Answer:zooooooooooooooooooooooooooooooooom

Step-by-step explanation:

Answer:

1st Choice

Step-by-step explanation:

The fastest way to do this is by thinking of translations. If you are trying to move it left or right, it will be inside the cube root. If you want to move it vertically, it will be outside the root. In the graph, the child function is moving from the parent function to the right. This means we can eliminate choices C and D. We are left with A and B. A is the right choice because you take the negative of the direction you want to move in. Thus, you have your answer.

Answer:

A

Step-by-step explanation:

g(x)=∛(x-4)

===============================================

Work Shown:

P = area of triangle

P = 0.5*base*height

P = 0.5*5*4

P = 10 square units

----------------

Q = area of square

Q = side*side

Q = 5*5

Q = 25 square units

----------------

R = area of trapezoid

R = height*(base1+base2)/2

R = 5*(7+5)/2

R = 5*12/2

R = 60/2

R = 30

----------------

T = total area of the entire figure

T = P+Q+R

T = 10+25+30

T = 65 square units

Answer: 71 sq. units

Step-by-step explanation:

formula: 1/2bh + lw + 1/2h(b1+b2)

1/2(20) + (25) + 1/2 (6) (12)

10 + 25 + (3) (12)

10+ 25 + 36 = 71

Answer:

(6, 2)

Step-by-step explanation:

Step 1: Use substitution

x - 4 = 1/3x

Step 2: Isolate x

2/3x = 4

x = 6

Step 3: Plug back into original equation(s)

y = 6 - 4

y = 2

Answer:

(6,2)

Step-by-step explanation:

Let's use the substitution method.

x-4=1/3x

3x-12=x

3x=x+12

2x=12

x=6

y=6-4

y=2

Answer: The answer is the second one/b.

Answer:

D. 22/1=x/3

Step-by-step explanation:

Well what you multiply by the top you must do the bottom and opposite way also goes, sometimes so to get three as shown in (x/3) you must use the 1 from (22/1) times something to equal 3. In this it would be 1*3=3 so I multiplied three to the bottom and what I do the the bottom I haft to do to the top so 22*3=x and x is equal to 66 witch makes (D. 22/1=x/3) the correct option. If you want or need to check a good way to is to use a calculator to multiply 22*3 just as a small check up.

Answer:

I think it’s correct

Step-by-step explanation: