Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How many did Bridget get?

9514 1404 393

Answer:

  484 cm³

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = 1/3Bh

where B is the base area and h is the height.

Here, the base is a square 11 cm on a side, so its area is ...

  B = s² = (11 cm)² = 121 cm²

Then the volume of the pyramid is ...

  V = 1/3(121 cm²)(12 cm) = 484 cm³

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

Explanation:

15% of 15 = 0.15*15 = 2.25

The cost has increased by $2.25 which means the cost per kilogram is now 15+2.25 = 17.25 dollars

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

As a slight shortcut, we can multiply the old cost (15) by the multiplier 1.15 to get the same result:

1.15*15 = 17.25

This method allows us to chain together many percentage increases, and it also allows us to include percentage decreases as well. Note how 1.15 is basically the result of 100% + 15% = 1.00+0.15 = 1.15

Answer:

Step-by-step explanation:

This is quite a doozy, so try and follow along. If you don't know your circle stuff well, it will be more difficult for you to understand how all this comes together.

First, we were given that angle CBD = 55. That means that angle CED is also 55 since they are both inscribed angles and they both intercept the same arc, arc CD. Angle BFC is congruent to angle 5 because they are vertical and vertical angles are congruent, so that means that triangle BFC is congruent to triangle EFD because of Angle-Angle-Side. Now that we got that out of the way, let's move on. We will come back to that in a bit.

Angle 1 intercepts arc BE and since angle 1 is an inscribed angle, it is half the measure of its intercepted arc. Therefore,

∠1 = 25° ; angle BCE also equals 25 degrees since they are both inscribed and they both intercept the same arc (again, arc BE).

If angle BCE is 25, and angle CBD is 55, then angle F, by the Triangle Angle Sum Theorem, must equal 180 - 25 - 55 = 100. And if Angle F = 100, then

∠5 = 100° . Angles 4 and 5 are supplementary, therefore,

∠4 = 80°

Since angle CBD was given as 55 and is an inscribed angle for arc CD, then arc CD is twice the measure of its inscribed angle and arc CD is 110 degrees. Angle 6, then, is one-half the difference of arc CD and arc BE so

∠6 = 30°

Angles 2 and 3 are congruent since they are both inscribed and they both intercept the same arc (arc DE); and since triangles BFC and EFD are congruent, by CPCTC, sides BF and EF are congruent...which means by the IsoscelesTriangle Theorem, angle 2 and angle BEC are congruent. 180 - 80 = 100 and divide that in half to get that

∠2 ≅ ∠3 = 50°

Lastly, angle 7 is half the measure of its intercepted arc (arc BE, given as 50), therefore,

∠7 = 25°

Answer:

$496800

Step-by-step explanation:

You need to find 3.5% of 480,000 and then add it to 480000:

You convert 3.5% to 0.035 (divided by 100).

Now you multiply 0.035 * $480,000 = $16800 (this is the amount of money to add to the value of the house)

Total value of the house: $480,000 + $16,800 = $496800

[tex]\huge\bold{To\:find:}[/tex]

✎ The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:5.10\:km.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\ ⇢ ( {5 \: km})^{2} + ( {1 \: km})^{2} = ( {c})^{2} \\ ⇢ 25 \: {km}^{2} + 1 \: {km}^{2} = {c}^{2} \\ ⇢ 26 \: {km}^{2} = {c}^{2} \\ ⇢  \sqrt{26 \: {km}^{2} } = c \\ ⇢5.0990 \: km = c \\ ⇢5.10 \: km = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:5.10\:km.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {5 \: km})^{2} + ( {1 \: km})^{2} = ( {5.10 \: km})^{2} \\ ⇝25 \: {km}^{2} + 1 \: {km}^{2} = 26 \: {km}^{2} \\ ⇝26 \: {km}^{2} = 26\: {km}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Step-by-step explanation:

Step-by-step explanation:

1/4+3/10+5/21

105+42+100/420

=247/420

=0.588

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

[tex]\longrightarrow \dfrac{247}{420} [/tex]

or

[tex]\longrightarrow0.588[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

10 percentage is the ans

Step-by-step explanation:

see the pic there is full step

Answer:

24cm

Step-by-step explanation:

3x8=24cm

Answer:

its e (27m).............................

Answer:

option C both

Step-by-step explanation:

13x - 42 = 18 -7x

13x + 7x -42 = 18

20x - 42 = 18  ------------joey

13x - 42 = 18 - 7x

13x = 18 +42 -7x

13x = 60 -7x ---------nolan

Answer:

A. [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3} -(-5)[/tex]

[tex]-2\frac{1}{3} +5[/tex]

Answer:

40 daps

Step-by-step explanation:

lets say daps is d, yaps are y and baps are b

4d = 7y, 5y=3b

First convert to y

4/7d = y

Now convert that to b

5(4d/7) = 3b

20d / 7 = 3b

20d / 21 = b

Plug it in:

42(20d/21)

40d

aka 40 daps

Answer:

exact: 48pi cm^2

approximate: 150.8 cm^2

Step-by-step explanation:

SA = 2 * (pi)r^2 + 2(pi)rh

SA = 2 * pi * (3 cm)^2 + 2(pi) * 3 cm * 5 cm

SA = pi(18 cm^2 + 30 cm^2)

SA = 48pi cm^2

SA = 150.8 cm^2

[tex]x = 80[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]

[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

V = ( 4/3 ) × π × r^3

V = ( 4/3 ) × π × ( 6/2 )^3

V = ( 4/3 ) × π × ( 3 )^3

V = ( 4/3 ) × 3 × 9 × π

V = 4 × 9 × π

V = 36 π m^3

Thus the correct answer is option D .

Answer:

x = 5

Step-by-step explanation:

Given

2x + 7 = 17 ( subtract 7 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

the answer 240

Step-by-step explanation:

times 24 and 10 to get 240 m

Answer:

B is most credible

Hope this helped.

Answer:

84

Step-by-step explanation:

0.5 · 7 · 24

0.5 · 168

84

Answer:

84

Step-by-step explanation:

Step 1: Convert number to a fraction

[tex]24=\frac{24}{1}[/tex]

[tex]\frac{1}{2}\times \frac{24}{1}\times \:7[/tex]

Step 2: Factor the number

[tex]\:24=2\times \:12[/tex]

[tex]\frac{2\times \:12}{2}\times \:7[/tex]

Step 3: Cancel the common factor

[tex]2[/tex]

Step 4: Multiply the remaining numbers

[tex]12\times \:7\\\\= 84[/tex]

Therefore, [tex]\frac{1}{2}\times 7\times 24\:=\:84[/tex]

Answer:

Step-by-step explanation:

in order to make a box plot you need to know 5 things.

the minimum, the first quartile, the median, the third quartile, and the maximum value. aka the five number summary

using your calculator you can find that in this set of values:

min = 1

Q1 = 2.5

med (Q2) = 3

Q3 = 5.5

max = 7

the box plot will look something like this:

Answer:

6

Step-by-step explanation:

13x is 13

x is 1

6x is 1 times 6 is 6

Answer:

13x+2=15

13x=15-2

x=13/13

x=1

6x=6*1

=6

Step-by-step explanation:

finish the question

Step-by-step explanation:

Answer:

j+23=52

Step-by-step explanation:

Answer:

B: 42°, 48°

Step-by-step explanation:

I took the test.

The pair of angles have congruent values for the sin x° and the cos y° is 42; 48.

Angles that are of the same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of the same measure,

then

[tex]m\angle A = m\angle B[/tex]

is the notation to say that they are of the same measurement, where the small m shows that its the measurement of the angles they're preceding.

We write the congruency between them as;

[tex]\angle A \cong \angle B[/tex]

Congruent angles can be defined as a type of angle that is known to have all sides in equal measure.

sin x  = cos (90-x)

therefore,  sin 42 = cos(90-42)

                             = cos 48

Hence, option B) 42°, 48° is correct

Learn more about congruent angles ;

brainly.com/question/2938476

#SPJ2

Answer:

The answer is 5.5 because half of 11 is 5.5 and diameter is half of circumference.

Answer:

5.5

Step-by-step explanation:

diameter=11

radius = diameter÷2

r=11÷2

radius=5.5

Answer: It's C f"(x)= 15x^2+235 Hope that helps!

Step-by-step explanation:  

Find the Greatest Common Factor (GCF).

GCF = 5

2. Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

5(15x^2/5+235/5)

3. Simplify each term in parentheses and that would give you 5(3x^2+47) and that's why I think it C but i'm not so sure but if you get it right can you please make me Brainliest bye and I hope you get it right!

t is greater than

Step-by-step explanation:

make me brainlist

Answer:

total cost = amount paid + tax paid + tip

total cost = $23.40 + 1.872 + $3.51

Step-by-step explanation:

Chris went out to dinner. His total bill before tax and tip was $23.40 He was charged an additional 8% tax and he also paid 15% tip on the original bill. Write an expression that will show the total cost including tax and tip.

total cost = amount paid + tax paid + tip

tax paid = 8% x $23.40

0.08 x $23.40 = $1.872

tip = 15% x original bill

0.15 x $23.40 = $3.51

total cost = $23.40 + 1.872 + $3.51