Find the surface area of the sphere.
r=3 cm
Round to the nearest tenth.

Answer:

X=12.09

Step-by-step explanation:

Tangent=opposite/adjacent

Tan29=6.7/x

X tan29=6.7

X=6.7/tan29

X=12.087

X=12.09

Answer:A

Step-by-step explanation:

Answer: Letter A

Step-by-step explanation:

Answer:

Gold weighs more

Step-by-step explanation:

The fact that they both equal 16 oz confirms the fact that gold weighs more. The reason for this is because even if the mass is the same the weight involves the gravitational pull on the earth meaning gold is greater.

1 pound of gold weighs more than 16 ounces of Soda.

We are told that;

Weight of soda = 16 Oz (ounces)

Weight of gold = 1 pound

Now, from conversions between pounds and ounces, 1 pound = 16 oz

Thus means that soda too also has a mass of 1 pound same as Gold.

However, despite the fact that they have the same mass, it doesn't mean they weigh the same because Gold has a gravitational pull which means force of gravity on it from the earth and it means it will weigh more.

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Answer:

Step-by-step explanation:

If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining

Answer:

£170000

Step-by-step explanation:

In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x.  In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x

The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x

Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.

⇒ 1.14x = 193800

x = 193800/1.14

x = £170000

Rafik paid £170000 for the house in 2010

Answer:

The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Step-by-step explanation:

The equation can be rearranged to get:

-7-8f=-47

Example: The weather at 5 pm is -7 degrees Celsius. Every hour, the temperature drops 8 degrees. How much time has gone by when the temperature is -47 degrees?

Answer:

Step-by-step explanation: negative eight f minus seven equals negative fourty-seven .  answer: 5

Answer:

Step-by-step explanation:

[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]

[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]

[tex]x = \frac{-36 \pm 33.11}{2} [/tex]

[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]

[tex]x_1 = -1.445 [/tex]

[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]

[tex]x_2 = -34.555[/tex]

Answer:

I think that you would divide all the euros by 1.35 to get the pounds

if thats right then the answer should be £2504.07407408

Step-by-step explanation:

i did this by first getting the hotel price (125 euros per night) and timesing that by 14 as they stay for 14 nights, this gives you 1750

then i converted 1750 to pounds by dividing 1750 by 1.35 to get £1296.2962963

next i did the wifi price (6 x 13 = 78, 78 divided by 1.35 = £57.7777777778)

after that i added those two prices together to get £1354.07407408

the final step was to add £1150 so i got £2504.07407408, and that hopefully should be the answer !

hope this works :)

Answer:

Step-by

Q1

PROOF

consider triangle ACT and ARD

CA=CA [GIVEN]

angle 1 = angle 2 [GIVEN]

angle CAT = angle  RAD [OPPOSITE ANGLES]

hence  ,triangle ACT is congruent to triangle  ARD [by SAS]

hence , angle 3 = angle 4 [ by cpct]

Q2

PROOF

consider triangle TSU and TVU

TU =TU [commn]

UV = US [given]

angle TUS = angle TUV [ given]

hence, triangle TSU congruent to TVU [ by SAS]

hence, VT = ST

Q3

PROOF

consider triangle ABC and ADC

AC = AC [ common]

angle ACB = angle ACD [given ]

angle ADC = angle ABC [ 90 degree ]

hence they are congruent [by AAS]

BC = DC  [ CPCT]

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Answer:

48x^2 - 22x - 15

Step-by-step explanation:

(6x - 5)(8x + 3)

48x^2 + 18x - 40x - 15

48x^2 - 22x - 15

Answer:

(C) 4

Step-by-step explanation:

I am going to solve this by trial and error:

(A) 1

Is: [tex](11)^{3} = 85181[/tex]?

[tex](11)^3 = 1331[/tex]

So 1 is not the digit of N.

(B) 2

Is: [tex](22)^{3} = 85182[/tex]?

[tex]22^3 = 10648[/tex]

So 2 is not the digit of N.

(C) 4

Is: [tex](44)^{3} = 85184[/tex]?

[tex]44^3 = 85184[/tex]

Correct, so the answer is c.

(D) 5

[tex]55^3 = 166375 \neq 85185[/tex]

(E) 6

[tex]66^3 = 287496 \neq 85186[/tex]

Answer:

y = 49

Step-by-step explanation:

y ∝ x²

=> y = kx²

Where k is the constant of proportionality

k = 1 (We've found this out in the previous question)

Now,

y = ? when x = 7

The above equation becomes:

=> y = (1)(7)²

=> y = (1)(49)

=> y = 49

Answer:

56/33

Step-by-step explanation:

8/11 * 7/3

Multiply the numerator

8*7 = 56

Multiply the denominator

11*3 = 33

Put the numerator over the denominator

56/33

Answer:

56/33

Step-by-step explanation:

[tex]\frac{8}{11} *\frac{7}{3}[/tex]   Original equation

[tex]\frac{8*7}{11*3}[/tex]

[tex]\frac{56}{33}[/tex]   Simplify

Answer:

D

Step-by-step explanation:

Put n as 48 and solve.

-11 + (48 - 1)(-3)

- 11 + (47)(-3) = -152

428.46

400+28+.46= 428.46

Trust me if you remember what hundredths and tenths mean it will help a lot in 6-7th grade math.

Answer:

well if you go by the allaphat then A would be the smallest digit

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

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Answer:

c. (3, [tex]\frac{7\pi }{6}[/tex] )

Step-by-step explanation:

In order to do this, you must solve using the answer choices, not by solving it yourself. This is because you can generate many answers from the graph itself so it is best to look for which answer choices you can eliminate. In this answer choice, there are no negatives, therefore, you don't have to convert by reflecting across the pole or polar axis, making this question easy. Polar coordinates are represented as so: (r, θ) with r representing the radius and theta representing the angle. The distance of z from the middle point is 3 units, so the radius is 3. If you look at the unit circle, [tex]\frac{7\pi }{6}[/tex] resides in the same quadrant where z is at the moment, so you don't have to do any converting there. Therefore, this is your answer.

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

Surface area of extended pyramid:

The difference is:

Step-by-step explanation:

I recommend that you download the symbolab application, it is very good, it helps a lot

Answer:

D. ABCD is rotated 180° around the origin

Step-by-step explanation:

The formula for an 180° rotation around the origin is (-x, -y).

[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]

To find the slope of the line, I will be showing you the table method.

To find the slope of the line using the table method,

we start by making a table for our ordered pairs.

We will put the x values in the left column

and the y values in the right column.

Our first ordered pair is (3, 8), so we put a

3 in the x column and a 8 in the y column.

Our second ordered pair is (1, -2), so we put a

1 in the x column and a -2 in the y column.

Next, remember that the slope or m, is always equal to

the rate of change or the change in y over the change in x.

Using our table, we can see that the y values

go from 8 to -2 so the change in y is -10.

The x values go from 3 to 1 so the change in x is 2.

Therefore, the rate of change, or the change in y

over the change in x is -10/2 which reduces to 5.

This means that the slope is also equal to 5.

Answer:

39,182 in expanded form:

Step-by-step explanation:

30,000 + 9,000 + 100 + 80 + 2

Answer:

(1)155 degrees

(2)135 degrees

(3)105 degrees

Step-by-step explanation:

Let the original angle [tex]= \theta[/tex]

Angle Bisector of the original angle = [tex]\dfrac{ \theta}{2}[/tex]

If the other angle forms a linear pair, then:

The other angle, [tex]\beta=180^\circ-\theta[/tex]

Therefore, the measure of the angle formed by the angle bisector of the original angle and the opposite ray is:

[tex]\dfrac{ \theta}{2}+180^\circ-\theta\\=180^\circ-\dfrac{ \theta}{2}[/tex]

(1)If the angle equals 50°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 50}{2}\\=180^\circ-25^\circ\\=155^\circ[/tex]

(2)If the angle equals 90°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 90}{2}\\=180^\circ-45^\circ\\=135^\circ[/tex]

{3)If the angle equals 150°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 150}{2}\\=180^\circ-75^\circ\\=105^\circ[/tex]

See attachment for an example of the graphical solution.

Answer:

1.34 feet/seconds

Step-by-step explanation:

Looking at the above question, we would be converting 55 miles per hour to feet per seconds.

From the above question, we are given the following conversion values

1 minute = 3,600 seconds

1 mile = 5,280 feet

55 miles per hour = 55 mile / 1 hour

So,

If 1 mile = 5,280 feet

55 miles = x feet

We cross Multiply

x = 5,280 × 55

x = 290,400 feet

Hence, 55 miles = 290,400 feet

1 hour = 60 minutes

If 1 minute = 3,600 seconds

60 minutes = x seconds

We cross multiply

x = 60 × 3,600

x = 216,000 seconds.

This means

60 minutes = 216,000 seconds

In other to find out how fast is the car is,

Speed = Distance / Time

Speed = 290,400 feet/216,000 seconds

Speed = 1.3444444444 feet/seconds

To the to the correct number of significant figures, the car is traveling at 1.34 feet per second.

Answer:C

Step-by-step explanation: because multiplication is only follow when you convert greater unit to smaller unit which in this case is kilolitres to liters

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Answer:

C

Step-by-step explanation:

So the other person can be brainleist

Answer:

5x^2 -3x +9

Step-by-step explanation:

(5x2 + 7) - (3x - 2)

Distribute the minus sign

5x^2 +7 -3x +2

Combine like terms

5x^2 -3x +9