The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for[tex]\pi[/tex], and round your answer to the nearest tenth. (Do not round any intermediate computations.)

∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 =  2x - 8

(if u need a specific number)

∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8

∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180

-> 3x + 6 = 180
x = (180-6)/3 = 58.

Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.

Answer:

12

Step-by-step explanation:

End points of [tex]\overline{RS}[/tex] are:

[tex]R (4, \:-8)\implies x_1 = 4,\: y_1=-8[/tex]

[tex]S (25, \:-1)\implies x_2 = 25,\: y_2=-1[/tex]

Point T divides [tex]\overline{RS}[/tex] in the ratio 4 : 3

[tex]\implies m = 4,\: n= 3[/tex]

Now, by section formula:

[tex]T=\bigg(\frac{mx_2+nx_1}{m+n},\:\:\frac{my_2+ny_1}{m+n}\bigg)[/tex]

Plugging in the values of [tex]x_1 ,\: y_1, \:x_2,\: y_2\:\&\: m, \: n[/tex] in the above formula, we find:

[tex]T=\bigg(\frac{4(25)+3(4)}{4+3},\:\:\frac{4(-1)+3(-8)}{4+3}\bigg)[/tex]

[tex]\implies T=\bigg(\frac{100+12}{7},\:\:\frac{-4-24}{7}\bigg)[/tex]

[tex]\implies T=\bigg(\frac{112}{7},\:\:\frac{-28}{7}\bigg)[/tex]

[tex]\implies T=(16,\:\:-4)[/tex]

Sum of the coordinates of T = 16 + (-4) = 16 - 4 = 12

The discount price of the lawn mower purchased by the store is  $193.45.

The first step is to determine the selling price of the lawn mower.

Selling price = ( 1 + 1.60) x $82.67 = 214.94

Now determine the price after the discount has been applied.

Discount price = (1 - 0.1) x 214.94 = $193.45

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

Answer:

The slope is -8 and the y intercept is -6

Step-by-step explanation:

The first numbers are the slopes and the one after that is the y intercept. ALWAYS

Answer:

48 sq m

Step-by-step explanation:

Given quadrilateral is a parallelogram.

Here,

Base = 8 m

Height = 6 m

Area of parallelogram = Base * Height

-> Area = 8 * 6 = 48 sq m

Answer:

32.9

Step-by-step explanation:

7*9.4/2=32.9

Answer:

well yeah no one likes math i mean unless you mark zuckerberg

Step-by-step explanation:

Answer:

the difference between the highest and lowest values in a set of numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(9√5)   (5√10)

The leading interger product is found by multiplying 9 and 5

The leading integer product is 9*5 = 45

The radical product is (√5*10

Factor 10

radical product = √5*2*5

There are 2 fives underneath the radical. Take one out and ignore the other

radical product = 5√2

The 5 now multiplies by 45 and √2 becomes part of the answer

5*45√2

225√2

Answer:

x = 8, y = 6/√3.

Step-by-step explanation:

The smaller triangle and the larger triangle are similar.

4 / 4√3 = (x - 6) / y

1/√3  =  (x - 6) / y

Also

y/6 = 1/√3

⇒ √3y = 6

⇒ y = 6/√3

Substitute for y in the first equation:

1/√3  =  (x - 6) / 6/√3

⇒ 1/√3 * 6/√3 = x - 6

⇒ x - 6 = 2

⇒ x = 8

Answer:

1 mile = 8.5 minutes

Step-by-step explanation:

Determining the equation:

Kira ran 8 1/5 miles in 69 7/10 minutes.

⇒ Kira = 8 1/5 miles = 69 7/10 minutes

⇒ 41/5 miles = 697/10 minutes

Simplifying both sides:

⇒ 41/5 miles = 697/10 minutes

⇒ 41 miles = 697/2 minutes

Using cross multiplication:

⇒ 41 × 2 miles = 697 minutes

⇒ 82 miles = 697 minutes

Dividing 82 both sides:

⇒ 82 miles = 697 minutes

⇒ 82/82 miles = 697/82 minutes

⇒ 1 mile = 8.5 minutes

Answer:

60/77 the answer is not able to be an improper fraction

Step-by-step explanation:

3/7+9/11

33/77+27/77

60/77

Answer:

obtuse angle is 155'

Reflex angle is 205'

Step-by-step explanation:

Just add the angles between the arecs

Answer:

i³ = -i

Step-by-step explanation:

i³ can be rewritten as i² · i

i² = -1

-1 · i = -i

Hope this helps!

answer:24

Step-by-step explanation:

The use of BODMAS .We must solve the bracket first before the multiple

Answer:

Sarah reads 4 pages in the morning and 6 pages at night for 2 days. What is the total number of pages that Sarah read?

Step-by-step explanation:

If Sarah read 4 pages in the morning and 6 pages at night for 2 days the would equal 4+6x2

4 is the number of pages in the morning

6 is the pages at night

and 2 is the number of days that she read the pages

Answer:

40 is an addend in an addition

40 is the y-intercept if the question really is y = 7.5x + 40.

Step-by-step explanation:

40 is just a number in a sum of 2 numbers.

Perhaps you meant

y = 7.5x + 40

If that is the case, then 40 is the y-intercept.

Answer: Attached photos, and the last question of my explanation.

Step-by-step explanation: If "bracelets cost $3 and necklaces cost $6"  that means we will multiply.

1. for Bracelets (1 bracelet = $3)

(0 x 3 = 0) 1. $0

(1 x 3 = 3) 2. $3

(2 x 3= 6) 3. $6

(3 x 3 = 9) 4. $9

(3 x 4 = 12) 5. $12

Explanation: We have to multiply 5 different numbers to fill in the 5 rows of bracelets & necklaces. (0,1,2,3,4 = 5 numbers). For example, if we buy 2 bracelets, 1 bracelet = $3 and 3*2=6 so it would be 6.

2. for Necklaces (1 necklace equals $6)

(0 x 6 = 0) 1. $0

(1 x 6 = 6) 2. $6

(6 x 2 = 12) 3. $12

(6 x 3 = 18) 4.  $18

(6 x 4 = 24) 5. $24

3. coordinates

1. (0,0)

2. (3,6)

3. (6,12)

4. (9,18)

5. (12,24)

Putting the coordinate pairs on the graphs: the first number is x and the second is y.

5. What is the relationship between the corresponding terms in the two sequences: The second sequence is the product of multiplying sequence 1 and sequence 2.

Answer:

825km

Step-by-step explanation:

150km/h= distance/11/2 hours

150km/h divide by 11/2 hours

=825km

Answer:

825km

Step-by-step explanation:

We have the rule: speed=distance/time

in this question you are asked to calculate the distance covered by the machine boat.

so we deduce from the above rule: distance=speed*time

Given: speed=150km/hr    time=5.5hr   distance=??

Solution: distance=150x5.5 = 825km

Answer:

Step-by-step explanation:

Answer:

3x^2

Step-by-step explanation:

3x^4-12x^2

Factoring out 3x^2

3x^2 ( x^2 -4)

We can factor (x^2-4) since it is the difference of squares

3x^2 ( x-2) (x+2)

The greatest common factor is 3x^2

Let's find the G.C.F. (Greatest Common Factor) of 3x⁴-12x².

The key words here are "common" and "greatest".

Here are some common factors:-

3

3x

3x²

x

x²

And the greatest common factor is:-

3x²

[If Necessary]

Factor it out by dividing the terms in the polynomial by the GCF:-

x²

4

Subtract the terms:-

(x²-4)

And put the G.C.F. outside the parentheses:

3x²(x²-4)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

rectangle

it has four perpendicular sides

each perpendicular is 90degree

Answer: Rectangle and square

Step-by-step explanation: They both have four right angles

Answer:

of Example 6

5 and 14

Step-by-step explanation:

IN EXAMPLE 6

Opposite angles are equal so you equate the first one like this

3x + 20 = 10x - 15

15 + 20 = 7x

35/7 = x

x = 5

In next question b

It is a straight line thus it's 180°

so 4n + 22 +8n -10 = 180

12n + 12 = 180

12n = 180 - 12

n =168÷ 12

n = 14

Answer:

1

log 10

Step-by-step explanation:

In e = 1

In e = log 10

Hope it helps you in your learning process.

Solution:

D. y = –0.5x + 5

In this chart, the slope, (m):

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]

[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]

[tex]\hookrightarrow \sf 3[/tex]

Equation:

[tex]\sf y_1-y= m(x_1-x)[/tex]

[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]

[tex]\hookrightarrow \sf y+6= 3x+6[/tex]

[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]

[tex]\hookrightarrow \sf y= 3x[/tex]  

⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0

From this D only has the greatest y-intercept than the chart.

Answer:

D

Step-by-step explanation:

Sorry if I'm late for the party, hope this helps anyways! :)

[tex] \frak{ \dfrac{67}{6} }[/tex]

Answer: 33.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3*5=15

8*16=128

10*7=70

4*3/2=6

15+6+70+128=219

Answer:

219 yd²

area of rectangle

area of 2nd rectangle

area of rectangle

area of triangle

total area:

Answer:

A 406 of answer your question please sorry