The volume of a rectangular pyramid is 120 cubic centimeters. The base is 12
centimeters long and 5 centimeters wide. What is its height

Answer:

Step-by-step explanation:

Answer:

She covered 0.86 km or 860m by walking.

Step-by-step explanation:

Given:

➮ Distance between Reeta's house and her office is 14km.

To Find:

➮ How much distance covered by foot/walking ?

Solution:

To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.

Sum of distance covered through scooter and bus:-

As, we know:

• 1km = 1000m

⇒ 10km = 10×1000

= 10000m

⇒ 3km = 3×1000

= 3000m

So, 10000m + 65m ➝ 10065m

3000 + 75m ➝ 3075m

➝ 10065m + 3075m

➝ 13140m

• 13140m into km:-

⇒ 13.14km

Now, Finding the distance covered by walking:

➝ 14km - 13.14km

➝ 0.86km

Hence, She covered 0.86km or 860m by walking.

Step-by-step explanation:

a) 8/7

hope it helps u...

Answer:

Scale factor is 1/4

The scale factor is 1/4.

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii.

Given:

As per the figure

C'D' = 3 units

and, CD = 12 units

So, Scale factor = Dimension of the new shape / Dimension of the original shape.

=3/12

=1/4

Hence, the scale factor is 1/4.

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The equation computed shows that the sum of the complex number is D. 13 + 12i.

From the information given, the thing that we have to do is to simply collect the like terms and solve the equation.

Therefore, the sum of (3 + 5i) + (10 + 7i) will be calculated thus:

= (3 + 5i) + (10 + 7i)

= 3 + 10 + 5i + 7i

= 13 + 12i

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The map is an illustration of parallel lines and a transversal

Angles X and 75 are supplementary angles.

So, we have:

X = 180 - 75

Subtract

X = 105

Angles Y and 75 are corresponding angles.

So, we have:

Y = 75

Angles X and Z are alternate exterior angles.

So, we have:

Z = X

This gives

Z = 105

Hence, the measures of angles X, Y and Z are 105, 75 and 105 degrees respectively

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Based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

Some of the angle measures formed are:

Thus:

X = 180 - 75 = 105° (supplementary angles)

Y = X = 105° (corresponding angles)

Z = X = 105° (alternate exterior angles)

Therefore, based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

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Answer:

slope = -3/5

y intercept = 4/5

Step-by-step explanation:

First, we can rearrange 3x + 5y = 4 into slope intercept form (y = mx + b) to get 5y = -3x + 4. Now we can divide by 5 to make y the subject: y = -3/5x + 4/5. The number in front of x is the slope and the number on its own is the y intercept.

slope = -3/5

y intercept = 4/5

Hope this helps!

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population  will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

The formula for the Population Growth Equation is:

      [tex]P_f=P_o*(1+\frac{R}{100} )^t[/tex]        

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%[/tex]

STEP 2 - Find the t  for population 250,000 people.

[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36[/tex]

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Answer:

354.20 + 50.60w ≥ 1,099.51

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the mean is also average

You

1) Add all your values

    -----18+19+21+22+25+27+29+30+31+34

2) Then, divide [256] by how many points/numbers you have

    -----256 / 10

Your average/mean is 25.6

Answer:

3(5y) or 1(15y)

Step-by-step explanation:

Hopefully this helps you! Have a great night/day!

Answer:

Explanation:

To find odd numbers, we have to use n + n + 2

For example let the number be 1, the 1 + 2 = 3, 3 + 2 = 5.

Therefore, used: n + n + 2 expression and it should be equals or at least 76. so finally n + n + 2 ≥ 76  applies.

Answer:

6 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2 bh

applying that to this problem, we get

1/2 x 3 x 4

after multiplying then all together, you get

A=6 m^2

Answer:

yes!

Step-by-step explanation:

fractions are funky but this is a characteristic of this, if you have a fraction let’s say A/B and you divide it by C/D, the denominator of the second fraction will multiply with the numerator of your first, and B and C will multiply too. Think of it as doing like a lil flip

Answer:

true

Step-by-step explanation:

Answer: the students are smarter than she thinks

Step-by-step explanation:

more people passed

Answer: Tamara can make 24 servings of hot cocoa.

Step-by-step explanation:

3/4 ÷ 1/32= 3/4*32 =3*8= 24

Hopefully, that makes sense and helps you out!

Answer:

[tex]\huge\boxed{\bf\:x = 1}[/tex]

Step-by-step explanation:

[tex]x ^ { 3 } +6x-7=0[/tex]

By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.

[tex](+/-)7, (+/-)1[/tex]

Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..

[tex]x = 1[/tex]

This means that 1 factor of the above equation will be:

[tex]x = 1\\\Longrightarrow\:x - 1 = 0[/tex]

So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:

[tex]\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0[/tex]

We now have a quadratic equation with us. By using the biquadratic formula:  -b ± √b² - 4ac / 2a, where,

So,

[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}[/tex]

Here, we can see that,

[tex]x\in \emptyset[/tex]

Then, by listing out the solutions that we found, the value of x will be:

[tex]\boxed{\bf\:x = 1}[/tex]

[tex]\rule{150}{2}[/tex]

Answer:(x-1) *(x^2 + x + 7)

Step-by-step explanation:

1. rewrite

2. factor the expression

Answer:

There is a pattern with the ratios of corresponding sides. You can see that the measurement of each side of the first triangle divided by two is the measure of the corresponding side of the second triangle. Use patterns like this to problem solve the length of missing sides of similar triangles.

Answer:

I would need to know the length of a pair of corresponding sides, so I could set up a proportion to solve for the unknown length. I would set the ratio of the known corresponding sides equal to the unknown measure, making sure I put corresponding measures from the triangles in the same positions in the ratios. Then I would cross-multiply to solve.

Step-by-step explanation:

The line of best fit model the relationship between variables on a dataset

For the line of best fit, we have the following calculation summary (from a graphing calculator)

The equation of the line of fit is represented as:

[tex]y = bx + a[/tex]

So, the equation of the line of fit is:

[tex]y = 9.15x - 12.02[/tex]

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Based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

The intercepted arc = twice the inscribed angle.

Thus:

Intercepted arc = x

Inscribed angle = m∠CEB = 180 - 110 = 70°

Therefore:

x = 2(70)

x = 140°

Therefore, based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.

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Answer:

Step-by-step explanation:

140 degrees

Answer:

The answer to your question "If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?

" is 50.3

Answer:

Parallelogram

Step-by-step explanation:

Because it the only without any right angle

2 pairs of opposite angles are equal it can be parallelogram

As it has four sides it can be quadrilateral

No angle is of 90° so can't be a rectangle

4sides are congruent so it can be rhombus

it cannot be rectangle hence cannot be a square also

No opposite sides are parallel hence can't be trapezoid

Answer:

$4.55

Step-by-step explanation:

banana: 80¢ = $0.80

apple: 25¢ = $0.25

mango: 60¢ = $0.60

4 bananas, 3 apples, and a mango =

= 4 × $0.80 + 3 × $0.25 + 1 × $0.60

= $4.55

Answer: 3x-4y-6z

Step-by-step explanation:

First collect the like terms and you get:
-2x + 5x - 2y - 2y - 2z - 4z
Add similar elements:
3x - 2y - 2y - 2z - 4z
And you do it again and you get: 3x-4y-2z-4z
then just take away -4z from -2z and you get: 3x-4y-6z

Answer:

7

C is one angle on Triangle

F point is between A and D

CF line is passes through the point P which is center

then From CP=2PF

CF=2x

PF=x

2x+x=21

3x=21

x=7=PF

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Here, [tex]\frac{3}{4}v[/tex] tells us that the vector [tex]v[/tex] is impacted by a scale factor of [tex]\frac{3}{4}[/tex], so we are doing scalar multiplication basically for both components of the vector. This only impacts the magnitude of the vector and not its direction. If we were to assume that [tex]v=\langle4,8\rangle[/tex], then [tex]\frac{3}{4}v=\langle\frac{3}{4}(4),\frac{3}{4}(8)\rangle=\langle3,6\rangle[/tex]. Therefore, this matches vector [tex]u[/tex], so D is the correct answer

Problem 2

Cannot be able to read as the text is too small

Problem 3

Cannot be able to read as the text is too small

Problem 4

[tex]-7u=\langle-7(8),-7(-4)\rangle=\langle-56,28\rangle=-56i+28j[/tex], so A is correct. Remember to use scalar multiplication for each component.

Problem 5

[tex]r-s=\langle5-9,11-(-8)\rangle=\langle-4,19\rangle[/tex], so B is correct. Remember to subtract the horizontal and vertical components seperately.

Answer:

The correct answer is C:

The area of the triangle is 21 square feet, because the area of the

rectangle is 42 square feet.

Step-by-step explanation:

Answer:

7/5 times 15 is greater than 15

Step-by-step explanation:

I divided 7 over 5 and it came out to be 1.4, then I multiplied 1.4 to 15 and got 21.