What is the equation of the blue line?

Answer:

1260.3 m3

Step-by-step explanation:

V = 4/3 pi r3

4/3 × 22/7 × 6.7^3

1260.3 m3

Answer:1259.8

Step-by-step explanation:

Answer:

Hello there! There is a 1/4 chance of getting the same result on both flips, keeping in mind that a coin only has 2 sides.

Step-by-step explanation:

There is a 1/2 chance of getting a result on one flip. So we now have to multiply that by getting the same result on another flip.

1/2 × 1/2 = 1/4

Hope this helps! :)

The probability of obtaining the same result on each coin will be 1/2.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Ken flips 2 fair coins. The total events are given as,

Total event = 2 x 2

Total event = 4 {TT, HT, TH, HH}

The probability of obtaining the same result on each coin will be given as,

Favorable events = 2 {TT, HH}

P = 2 / 4

P = 1/2

The probability of obtaining the same result on each coin will be 1/2.

More about the probability link is given below.

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Answer:

h = 3100

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2h = 81² - 19²

Step 2: Solve for h

Answer:

2h = 81^2 - 19^2

2h = 6561 - 361

2h = 6200

h = 6200/2

h = 3100

Answer:

x = 19.19°

Step-by-step explanation:

cos x = 17/18

cos x = 0.9444

x = 19.19°

Answer:

Don't go on that link its a virus

Step-by-step explanation:

Answer:

Present age =

fathers= 6x+6 = 36

sons = x+6 = 11

Step-by-step explanation:

-6:

father's age = 6x

sons age = x

Present age =

fathers= 6x+6

sons = x+6

+4 yrs:

father's age = 6x+6 +4 = 6x + 10

sons age = x+6 + 4 = x+ 10

3(6x +10) = 8( x + 10 )

18x+30 = 8x+80

18x-8x = 80-30

10x = 50

x= 50/10 = 5

~~~~~~~~~~

Present age =

fathers= 6x+6 = 36

sons = x+6 = 11

I hope im right!!!

Answer:

$245

Step-by-step explanation:

Savings percent= $350 × 30%

=$350 × 30/100

= $105

Money saved= $350- $105

= $ 245

Answer:

[tex]\displaystyle \Large \boxed{\sf 720 \ in^2}[/tex]

Step-by-step explanation:

Use formula to calculate area of trapezium

[tex]\displaystyle A=\frac{\left(a+b\right)\cdot h}{2}[/tex]

Substitute the values and evaluate

[tex]\displaystyle A=\frac{\left(24+36\right)\cdot 24}{2}=720[/tex]

Answer:

720 in²

Step-by-step explanation:

The composite figure is made up of a triangle and a square.

Area of the triangle

[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\ \implies \textsf{Area of triangle}&=\dfrac{1}{2} \times (36-24) \times 24\\&=\dfrac{1}{2} \times 12 \times 24\\&=6 \times 24\\&=144\; \sf in^2\end{aligned}}[/tex]

Area of the square

[tex]\boxed{\begin{aligned}\textsf{Area of a square}&=\sf side\; length \times side\; length\\\\ \implies \textsf{Area of the square}&= 24 \times 24 \\&=576\; \sf in^2\end{aligned}}[/tex]

Therefore, the area of the composite figure is:

[tex]\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Square\\ & = 144+ 576\\&=720\; \sf in^2\end{aligned}}[/tex]

Answer:

Step-by-step explanation:

(y/10)^2+(x/30)^2=1

y^2/100+x^2/900=1

9y^2+x^2=900

9y^2=900-x^2

y^2=(900-x^2)/9, when x=8 we have

y^2=(900-8^2)/9

y^2=(900-64)/9

y^2=836/9

y=9.6 meters

The arch is 9.6 meters above the river at a distance of 8 meters from the center.

Answer:

its a or d

Step-by-step explanation:

a or d but ptibably a

Answer:

Evan jogged the shorter distance.

Step-by-step explanation:

They both are using the same denominator. So compare that on a drawing. Maria jogged almost the entire mile while Evan jogged 3/8ths of the mile.

Answer:

38 degrees

Step-by-step explanation:

Angle ABE is 90 degrees, and angle FBE is 52 degrees. 90-52 is 38.

la escalera tiene que ser de 2.30mts

Answer:

56

Step-by-step explanation:

Bag sizes: 7

Flavors: 4

multiply 7×4= 28

and 28×2, because there are two kinds of popcorn, salted and unsalted

28×2= 56

I think this is the answer :l

Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.

Step-by-step explanation:

y=mx+c                 *We want m*

m=(y2-y1)/(x2-x1)

m=(0-1)/(6-3)

m=-1/3

y=-1/3x+2          *(0,2) co-ordinate means it's the y-intercept=c*

I think the slope is -1/3 and then just plt the points on the graph manually.

Answer:

$800

Step-by-step explanation:

A = h × w

h = [tex]6\frac{2}{3}[/tex] m

w = 3 m

A =  [tex]6\frac{2}{3}[/tex] m × 3 m

A = 20 m

each square meter costs $40

20 m × $40 = 800

answer: $800

Answer:

17.5 yards

Step-by-step explanation:

Speed is the ratio of distance to time. It is given by the formula:

Speed = distance / time

Mia Hamm is running at a speed of 6.8 yards per second. Let us assume that Mia covers a distance (d) during time (t) when Sissi catches up to her. Hence:

6.8 = d / t

t = d / 6.8

Sissi was 10 yards behind Mia Hamm and running at 8.4 yards per second. Therefore:

8.4 = (d + 10) / t

t = (d + 10)/ 8.4

d / 6.8 = (d + 10)/ 8.4

8.4d = 6.8d + 68

1.6d = 68

d = 42.5 yards

Mia had covered 42.5 yards when Sissi catches up with her. Therefore Mia Hamm distance to goal = 60 yards - 42.5 yards = 17.5 yards

Answer:

37/40

Step-by-step explanation:

Answer:

5           3          50           24       74        37

-     +      -      =   -      +      -       =   -    =    -

8           10        80            80      80       40

Step-by-step explanation:

Hope this helped!

Answer:

∠BAC = 105°

Step-by-step explanation:

2(5x) = 9x+21

10x = 9x+21

reduce:

x = 21

∠BAC = 5x = 105°

Answer:

hello

Step-by-step explanation:

I think the answer is C hope that helps you

Answer:

30%

Step-by-step explanation:

subtract the post-discount price from the pre-discount price

64.99 - 45.49 = 19.50

divide the answer by the original price

[tex]\frac{19.50}{64.99}[/tex] = 0.30

multiply the answer by 100

0.30 x 100 = 30%

to check:

take the original number and multiply it by the decimal form of the percentgae:

64.99 x 30% (0.30) = 19.50

take the answer and subtract it from the orginal answer

64.99 - 19.50 = 45.49

Answer:

Step-by-step explanation:

In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.

In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

[tex]\sqrt{443}^2+17^2=24^2[/tex] which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

[tex]\sqrt{725}^2=14^2+23^2[/tex] which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

In the third set, the sqrt of 890 is the longest side, so:

[tex]\sqrt{890}^2=19^2+23^2[/tex], which gives us

890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.

Answer:

The answer is B.

Answer:

b) A = π ([tex]5^{2}[/tex])

Step-by-step explanation:

area = π [tex]r^{2}[/tex]

diamter

⇒ 10

radius is half of the diameter

⇒ 10 ÷ 2 = 5

area = 3.14 × [tex]5^{2}[/tex]

Answer:

a. 14/15

b. 1/12

Step-by-step explanation:

a) 1/3 + 3/5

so find the lowest common multiple for the denominators which is 15

then say 15 ÷ 3 = 5

then 15 ÷ 4 = 3 (you are dividing by the denominators)

say 5 × 1 (multiple by the numerators now)

= 5

= 5/15

now say 3 × 3 = 9

= 9/ 15

now it's 5/15 + 9/15

= 14/15

Jason made an error that he just added the denominators without applying any formula.

b. 11/12 - 5/6

find the lcm

= 12

11/ 12 × 1/1 = 11/12

5/6 × 2/2 = 10/12

11-10

= 1

= 1/12

Jason made a mistake that he said 12-6 instead of finding the LCD them multiplying that fractions

The errors Jason made that he did not take LCM of denominators.

In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into.

Given are some calculations done by Jason,

We know that, to add two fractions, we take LCM of denominators and then divide the numerator by LCM and the add,

a) 1/3 + 3/5 = 4/8

Here, Jason have not taken LCM of denominators

Correction =

[tex]\frac{15(\frac{1}{3} )+15(\frac{3}{5}) }{15} \\= \frac{5+9}{15} \\=\frac{14}{15}[/tex]

b) 11/12 - 5/6 = 6/6 = 1

Again, the error is the same.

LCM(6, 12) = 12

Correction =

[tex]\frac{12(\frac{11}{12})+12(\frac{5}{6)} }{12} \\= \frac{11-10}{12} \\= \frac{1}{12}[/tex]

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Answer:

$12,375

$12820.50

Step-by-step explanation:

To obtain a rounded value of $28 (to nearest dollar) the lowest and highest possible value before rounding will be : 27.50 and 28.49

Hence,

Lower bound = $27.50

Upper bound = $28.49

Therefore. Cost of making 450 chairs ;

27.50 * 450 = $12,375 (lower bound)

28.49 * 450 $12820.50 (upper bound)

Answer:

No, there events are dependent, because the change of getting an A in Marketing decreases if the lacrosse team makes the playoffs.

Step-by-step explanation:

Independent events:

Two events are said to be independent if one event happening, or not, does not change the probability of the other event happening.

In this question:

The change of getting an A in Marketing decreases if the lacrosse team makes the playoffs, which implies that the events are dependent, an the answer is no.

im good :) what about you and its 32

It was good, and that answer is 20. 4 + 4 x 4 you multiply first which gives you 16 then add 4.