Round 2342 to the nearest hundred.

Answer:

The equation which expresses the ratio of the circumference to the diameter of a circle is  [tex]\frac{C}{30}=\pi[/tex] ⇒ D

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

[tex]\frac{C}{d}=\pi[/tex] , where

∵ The circumference of the circle is C

∵ The radius of the circle is 15 units

∴ r = 15 units

- Find the diameter of the circle

∵ The diameter of the circle d = 2 r

∴ d = 2(15) = 30 units

∴ The diameter of the circle is 30 units

∵ [tex]\frac{C}{d}=\pi[/tex]

∵ d = 30 units

∴ [tex]\frac{C}{30}=\pi[/tex]

The equation which expresses the ratio of the circumference to the diameter of a circle is  [tex]\frac{C}{30}=\pi[/tex]

Answer:

https://brainly.com/question/11963602

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

2y = 24

y = 24/2

y = 12

so the answer is incorrect

Answer:

False

Step-by-step explanation:

The correct answer is 12

Answer:

34

Step-by-step explanation:

BODMAS (Bracket, Division, Multiplication, Addition, Subtraction )rule

First we solve brackets :

60+8=68

1/2(68)= 34

multiply 4/5 ×1=4/1=4

4+1=5

Answer:

Step-by-step explanation:

[tex]\frac{4}{5}x+\frac{4}{5}[/tex]

Answer:

6.30

Step-by-step explanation:

Ivanka’s ribbon = 4.5 inches long

Michal’s ribbon is 3 1/2 times ivanka’s

Therefore,

Michal’s = 3 1/2 x 4.5

= 7/5 x 4.5

= 31.5/5

= 6.3 = 6.30 to the nearest hundredth

Answer:

look at the picture shown

Answer:

x = 9 ; y = -1

Step-by-step explanation:

because one equation is 3y and the second is -3y they will cancel out (eliminate) so the term y will be gone and you combine (add) the rest of the terms and end up with

[tex]2x=18[/tex]

then divide both sides by 2 to get: x = 9

plug in the value of x into one of the original problems

[tex]9+3y=6[/tex]

and solve for y

[tex]3y=-3\\y=-1[/tex]

if you plug in the values of x and y into the equations it should be true

There are 32 black fish in the tank

Step-by-step explanation:

Nanci has a large fish tank that contains fish

We need to find how many black fish in the tank

∵ The ratio between the orange fish to the black fish is 5 : 8

∵ She has 20 orange fish

By using the ratio method

→  orange  :  black

→  5            :  8

→  20          :  x

By using cross multiplication

∵ 5 × x = 20 × 8

∴ 5 x = 160

- Divide both sides by 5

∴ x = 32

∵ x represents the number of the black fish

∴ The number of the black fish is 32

There are 32 black fish in the tank

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Answer:

It is one-half the area of a rectangle with sides 2 units × 3 units.

Step-by-step explanation:

we have the coordinates of triangle ABC

A(4,5),B(5,2),C(3,2)

Plot the coordinates of triangle to better understand the problem

see the attached figure

step 1

Find the area of triangle ABC

The triangle ABC is an isosceles triangle `(AB=AC)

The area of triangle ABC is

[tex]A=\frac{1}{2}(BC)(AM)[/tex]

we have

[tex]BC=5-3=2\ units[/tex] ---> difference of the x-coordinates

[tex]AM=5-2=3\ units[/tex] ---> difference of the y-coordinates

substitute

[tex]A=\frac{1}{2}(2)(3)=3\ units^2[/tex]

step 2

Find one-half the area of a rectangle with sides 2 units × 3 units

[tex]A=\frac{1}{2} (2)(3)=3\ units^2[/tex]

therefore

The area of triangle ABC is one-half the area of a rectangle with sides 2 units × 3 units

Answer:

It is one-half the area of a rectangle with sides 2 units × 3 units.

Step-by-step explanation:

Answer:

a) [tex]\cos(70\degree)[/tex]

b) 12.72 units

Step-by-step explanation:

Recall that the sine and cosine are completed functions.

This means that:  [tex]\sin(x)=\cos(90-x)[/tex]

[tex]\sin(20\degree)=\cos(90-20)[/tex]

[tex]\sin(20\degree)=\cos(70\degree)[/tex]

Recall that: sine ratio is opposite/hypotenuse

[tex]\sin 58=\frac{|PQ|}{15}[/tex]

This implies that:

[tex]|PQ|=15\sin 58[/tex]

[tex]|PQ|=15(0.848)[/tex]

[tex]|PQ|=12.72[/tex]

The answers are shorter, higher, 2cm, 15cm, 20% and 15%.

Step-by-step explanation:

Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.

% error = (difference in values / actual value) × 100

Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.

Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.

% error = (difference in values / actual value) × 100

Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.

Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.

Answer:

Step-by-step explanation:

Answer

-6 -12

Step-by-step explanation:

Answer:

Read the answers below, including the graph.

Step-by-step explanation:

1. Let's find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days.

                        Day 1    Day 2    Day 3    Day 4

Angela               90        180        270         360

Jarret                 30          60          90          120

Ordered pairs for Angela's puppy: (1,90); (2,180); (3,270); (4,360)

Ordered pairs for Jarret's puppy: (1,30); (2,60); (3,90); (4,120)

2. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?

180 - 60 = 120

Angela spend walking her puppy 120 more minutes over 2 days compared to Jarret

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

The speed of the driving will be 55 miles/hr. Speed is represented as the pace of change of the distance or the height attained.

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its SI unit is m/sec.

The given data in the problem is;

The time taken is,t=7.5 hours.

The distance travelled is,d=412.5 miles

v is the speed of driving =?

The formula for the distance is;

d=v×t

v=d/t

Substitute the given values;

v=412.5/7.5

v=55 miles/hr

Hence, the velocity of the driving will be 55 miles/hr.

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Answer:

21

Step-by-step explanation:

im god

Answer:

[tex]\text{Surface area of cube}=864\text{ m}^2[/tex]

Step-by-step explanation:

We have been given that a cube has the area of 144 m^2 on each face.

We know that a cube has 6 faces, so total surface area of given cube would be 6 times area of its one face.

[tex]\text{Surface area of cube}=6\times 144\text{ m}^2[/tex]

[tex]\text{Surface area of cube}=864\text{ m}^2[/tex]

Therefore, the total surface area of the cube would be 864 square meters.

Answer:

the answer will be 864 m^2

Step-by-step explanation:

6*144 m^2 = 864 m^2

Answer:102

Step-by-step explanation:you do 31+31=62 then 20+20=40 then 62+40=102

Jason arrives at the factory first

It takes 5 minutes until the other person arrives

Solution:

The time taken is given by formula:

[tex]Time\ taken = \frac{distance}{speed}[/tex]

Jason lives 25 miles away from the factory and drives at 60 miles per hour

Therefore, time taken by Jason is:

[tex]Time\ taken = \frac{25}{60}\ hour[/tex]

Convert to minutes

1 hour = 60 minutes

Therefore,

[tex]Time\ taken = \frac{25}{60} \times 60\ minutes = 25\ minutes[/tex]

Jeremy lives 35 miles away from the factory and drives at 70 miles per hour

Therefore time taken by Jeremy is:

[tex]Time\ taken = \frac{35}{70}\ hour\\\\Time\ taken = \frac{35}{70} \times 60\ minutes\\\\Time\ taken = 30\ minutes[/tex]

They leave their houses at the same time

25 minutes < 30 minutes

Thus Jason arrives first

Jason arrives to the factory in 25 minutes

Jeremy arrives to the factory in 30 minutes

⇒  30 - 25 = 5 minutes

Jeremy arrives after Jason by 5 minutes

It takes 5 minutes until the other person arrives

Answer:

[tex]area \: of \: quarter \: circle \\ = \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{90 \degree}{360 \degree} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: 49 \\ \\ = 38.465 \: \: {cm}^{2} [/tex]

Answer:

38.47

Step-by-step explanation:

I just took the k12 test and 38.465 is wrong

Answer:

25°

Step-by-step explanation:

In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.

This means

[tex]m\angle KNL=m\angle LNM[/tex]

Since

[tex]m\angle KNL=(5x+10)^{\circ}\\ \\m\angle LNM=(6x-1)^{\circ},[/tex]

you have

[tex]5x+10=6x-1\\ \\5x-6x=-1-10\\ \\-x=-11\\ \\x=11[/tex]

No, find the measure of angles KNL and LNM:

[tex]m\angle KNL=(5\cdot 11+10)^{\circ}=65^{\circ}\\ \\m\angle LNM=(6\cdot 11-1)^{\circ}=65^{\circ}[/tex]

and the measure of angle KNM is

[tex]m\angle KNM=m\angle KNL+m\angle LNM=65^{\circ}+65^{\circ}=130^{\circ}[/tex]

Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then

[tex]m\angle K=\dfrac{1}{2}(180^{\circ}-130^{\circ})=25^{\circ}[/tex]

Answer:

25 Degrees

Step-by-step explanation:

Step-by-step explanation:310 x 5=1550

Answer:

Kendra used 50 cents

Step-by-step explanation:

Jaclyn used 40 cents. Becca used 50 more than Jaclyn (90). Leanna used 75 cents less than Becca (15). Kendra used 35 cents more than Becca (50).

J=40

B=90

L=15

K=50

Hope this helps! c:

Using the given information, the value of the coupons Kendra used IS 50 cents.

Substitution method: Multiple equations can be solved using the substitution method, where we substitute the value of one variable in different equations to calculate the value of other variables.

Let,

Cents used by Kendra in coupons= K

Cents used by  Leanne in coupons= L

Cents used by  Becca in coupons= B

Cents used by  Jaclyn in coupons= J

Using the given information,

Kendra used 35 cents more in coupons at the store than Leanne,

K=L+35......................................................................................(1)

Leanne used 75 cents less than Becca,

L+75=B......................................................................................(2)

Becca used 50 cents more than Jaclyn,

B=J+50......................................................................................(3)

Jaclyn used 40 cents in coupons,

J=40

Substituting J=40 in (3),

B=90

Substituting B=90 in (2),

L=15

Substituting L=15 in (1),

K=50

Thus, Kendra used 50 cents in coupons.

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Answer:

The dimensions of the old rug are 8 ft by 12 ft

Step-by-step explanation:

Let

x ----> the length of the old rug

y ----> the width of the old rug

we know that

[tex]100\%+50\%=150\%=150\100=1.5[/tex]

so

The dimensions of the old rug multiplied by the factor 1.5 must be equal to the dimensions of the new rug

so

[tex]1.5x=12\\x=8\ ft[/tex]

[tex]1.5y=18\\y=12\ ft[/tex]

therefore

The dimensions of the old rug are 8 ft by 12 ft

Answer: 144 ft squared

Step-by-step explanation:

Let's find the two bases first. They are triangles with a base of 6 and a height of 8. The formula for the area of a triangle is b * h *  1/2 = 6 * 8 * 1/2 = 24. There are two so you would do 24 * 2 which is 48.

Then let's find the area of the other three faces, all of which have a length of 4. One has a width of 8 so you would do 4 * 8 which is 32. Another has a width of 6 so you would do 4 * 6 which is 24. The last one has a width of 10 so you would do 4 * 10 which is 40.

Add up the areas of the two bases and three faces together:

48 + 32 + 24 + 40 = 144 ft squared

Hope this helped!

Option a: Sin F equal to [tex]\frac{9}{41}[/tex]

Option e: Cos G equal to [tex]\frac{9}{41}[/tex]

Explanation:

Option a : Sin F

Let us determine the value of Sin F from the right triangle.

The formula for Sin F is [tex]\sin F=\frac{o p p}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\sin F &=\frac{o p p}{h y p} \\&=\frac{H G}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\sin F &=\frac{9}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]

Hence, Option a is the correct answer.

Option b : Cos F

The formula to determine the value of Cos F is [tex]\cos F=\frac{a d j}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\cos F &=\frac{a d j}{h y p} \\&=\frac{F H}{F G} \\&=\frac{40}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option b is not the correct answer.

Option c: tan F

The formula to determine the value of tan F is [tex]\tan F=\frac{o p p}{a d j}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\tan F &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{9}{40}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\tan F &=\frac{9}{40}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option c is not the correct answer.

Option d : Sin G

The formula to determine the value of Sin G is [tex]\sin G=\frac{o p p}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\sin G &=\frac{o p p}{h y p} \\&=\frac{FH }{F G} \\&=\frac{40}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\sin G &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option d is not the correct answer.

Option e : Cos G

The formula to determine the value of Cos G is [tex]\cos G=\frac{a d j}{h y p}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\cos G &=\frac{a d j}{h y p} \\&=\frac{HG}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]

Hence, Option e is the correct answer.

Option f : tan G

The formula to determine the value of tan G is [tex]\tan G=\frac{o p p}{a d j}[/tex]

Thus, substituting the values, we get,

[tex]\begin{aligned}\tan G &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{40}{9}\end{aligned}[/tex]

Hence, [tex]\begin{aligned}\tan G &=\frac{40}{9}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]

Hence, Option f is not the correct answer.

Thus, the expression which is equal to [tex]\frac{9}{41}[/tex] is Sin F and Cos G

Answer:

.2 repeating

The drawing will help

Combine the like terms -10x and 3x to get -7x.

The answer would be -7x - 4

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{Simply: -10x - 4+3x}[/tex]

[tex]\mathsf{First\ group\ your\ like\ terms}[/tex]

[tex]\mathsf{Like\ terms:-10x\ \&\ 3x}[/tex]

[tex]\mathsf{-10x+3x=-7}[/tex]

[tex]\mathsf{New\ equation: -7 x- 4}[/tex]

[tex]\boxed{\boxed{\bf{Answer:\mathsf{-7x-4}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

12 Degrees

Step-by-step explanation:

angle A and angle B are supplementary angles.

angle A is 14 times as large as angle B.

Let angle A be x and let angle B be y.

then we have x+y=180

x=14y

14y+y=180

15y=180

y=12

x=168

Angle A is 168 degrees and angle B is 12 degrees.