Find the lateral area and surface area of a regular triangular prism with base edge 7 cm, a base height 6.1 cm and prism height of 11 cm. Round to the nearest tenth.

Answer: 210

Step-by-step explanation:

10% of 300 is 30

30x3=90

30%=90

90-300=210

Answer:

210 pounds

Step-by-step explanation:

So you can solve this by making an equation of 300 times 30 is equal to 100 times x so 9000 is equal to 100x so x=90.  So she can use 210 pounds.

Answer:

M<FDE = 360 degrees

Step-by-step explanation:

120 degrees is supplementary to x which makes it 120. 120+120=240 degrees. angle x and angle d = 120+120 which makes it 360 degrees.

M<ADE however, is 110+120=280, 360-280=80 degrees which is 110+120+80=360 degrees. So, M<ADE is 360 degrees and it is equal to M<FDE which is also 360 degrees.

All of them are equal. The sum of the figure is 720 Degrees.

Answer:

∠FDE = 130°

Step-by-step explanation:

Since BC and DE are parallel lines, then

∠BDE = ∠ABC = 110° ( corresponding angles are congruent )

The sum of the angles round a point = 360°, thus

∠BDE + ∠BDF + ∠FDE = 360 , hence

110 + 120 + x = 360

230 + x = 360 ( subtract 230 from both sides )

x = 130

Hence x = ∠FDE = 130°

Answer:

5270cm^2

Step-by-step explanation:

85 * 62 = 5270

It says it is asking for square centimeters and area, so use the formula for the area of a rectangle (b * h).

Answer: 5270cm^2

Step-by-step explanation: 85 * 62 = 5270

Answer:

Changing value of "d" changes the vertical shift of the cosine graph.

Step-by-step explanation:

Question says to find about how does your cosine graph change when including the d-value.

General equation of cosine function can be given as:

[tex]y=a\cdot\cos\left(bx-c)\right)+d[/tex]

In that formula, value of  "d" gives vertical shift.

So changing value of "d" changes the vertical shift of the cosine graph.

Answer: The answer is 7√3

Step-by-step explanation:

Since the hypotenuse is twice as long as the shortest leg and the triangle is 30°-60°-90°, therefore the shortest leg is 7 (not the answer to your question) and the other leg is 7√3. I hope this helps :)

Answer:

Step-by-step explanation:

I just did this question and this was the answer that was right for me :) Hope this helps!

Answer:

I think it is C. If im wrong, then it is A because I know that it is random sampling.

Step-by-step explanation:

Answer:

C: Simple Random Sampling

70º

It's a supplementary angle so 180º - 110º

Answer:

a = 70

b=60

Step-by-step explanation:

Angle a and 110 are supplementary, which means they add to 180 degrees

a+ 110 = 180

Subtract 110 from each side

a+110-100=180-110

a = 70

The three angles of a triangle add to 180

a+ b+ 50 = 180

We know a = 70

70 + b + 50 = 180

120 + b = 180

Subtract 120 from each side

120-120 + b = 180-120

b = 60

Answer:

3a - 13

Step-by-step explanation:

2(2a - 5) - (a - 3)

4a - 10 - a - 3

Combine like terms:

4a - a - 10 - 3

3a - 13

Answer:

3a-13

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To find the number of WHOLE pizzas needed, we need to divide the total number of slices needed (713) by 8 slices. Thus

[tex]\frac{713}{8}=89.125[/tex]

because we can't order fractional pizza, we need to round up. So we will need 90 pizzas.

Correct answer is D.

Your answer is A) (x+2)2=4

would it be this? eeek

Answer:

89.0°

Step-by-step explanation:

The measure of arc CD is the same degree measure as the central angle.

To find the central angle use the right triangle.

The segment from the centre to the chord is a perpendicular bisector, thus

the third side of the triangle = 12.7 ÷ 2 = 6.35

Calculate one half of the central angle using the sine ratio and multiply by 2 for the whole central angle

sin( one- half ) =[tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6.35}{9.06}[/tex], hence

central angle = 2 × [tex]sin^{-1}[/tex] ([tex]\frac{6.35}{9.06}[/tex] ) ≈ 89.0°

Hence measure of CD ≈ 89.0°

Answer:

c

Step-by-step explanation:

Answer:

D) 4176 unit cubes

Step-by-step explanation:

Length of the right rectangular prism [tex]=7\frac{1}{4}[/tex] inches

Width of the right rectangular prism [tex]=8[/tex] inches

Height of the right rectangular prism [tex]=9[/tex] inches

Then volume of the right rectangular prism = (Length)(Width)(Height)

[tex]=\left(7\frac{1}{4}\right)\left(8\right)\left(9\right)[/tex]

[tex]=\left(7.25\right)\left(8\right)\left(9\right)[/tex]

[tex]=522[/tex] cubic inches

Now volume of the small cubic prism [tex]=(Length)^3=\left(\frac{1}{2}\right)^3=\frac{1}{8}[/tex]

Then number of cubes that can fit into the right rectangular prism [tex]=\frac{522}{\left(\frac{1}{8}\right)}=522*8=4176[/tex]

Hence correct choice is D) 4176 unit cubes

La raíz de la cuadra de 81 es 9

Answer:

the square root o 81 is 9

Step-by-step explanation:

9x9=81

Answer:

Angle A measures 180° - (24° + 55°) = 180° - 79° = 101°.

Angle x measures 360° - 101° = 259°.

Answer:

3 pallets

Step-by-step explanation:

Divide to find the amount of pallets:

Subtract Exponents to divide

15^13 / 15^5 = 13 - 5 = 8 - 5 = 4 (subtracted 2 times)

You need three to store ALL the water

The stock room will need [tex]15^8[/tex] pallets to store the received [tex]15^13[/tex] water bottles since each pallet can store [tex]15^5[/tex] water bottles and we divide the total number by the pallet capacity.

To calculate the number of pallets needed to store all the water bottles the stock room received, we need to divide the total number of water bottles by the number of bottles a single pallet can hold.

The pallet can store 155 water bottles, and the stock room receives 1513 water bottles. By dividing the total number of bottles by the capacity of a pallet, the calculation is:

1513 ÷ 155 = 1513-5 = 158

Therefore, the stock room will need 158 pallets to store all the received water bottles.

Answer: Option B

[tex](f + g)(x)=x^2 - x - 3[/tex]

Step-by-step explanation:

In this problem we have the function

[tex]f(x) = 2x - 1[/tex]

and the function

[tex]g(x) = x^2 - 3x - 2[/tex]

They ask us to perform the operation:

[tex](f + g)(x)[/tex]

Therefore we must perform the algebaic summa of the function f plus the function g

[tex](f + g)(x)=f(x) + g(x)[/tex]

[tex](f + g)(x)=2x - 1 + x^2 - 3x - 2[/tex]

Now we siplify the expression

[tex](f + g)(x)=x^2 - x - 3[/tex]

The answer will be $29.02. :)

Answer:

$29.02.

Step-by-step explanation:

We have been given that you save 3 ,260.00 in a savings account earning a 3.55% APR compounded monthly. We are asked to find the total interest earned by the end of the third month.

We will use compound interest formula to solve our given problem.

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Amount of interest after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of periods interest is compounded per year,

t = Time in years.

[tex]3.55\%=\frac{3.55}{100}=0.0355[/tex]

[tex]\text{3 months}=\frac{3}{12}\text{ year}=\frac{1}{4}\text{ year}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]A=3,260(1+\frac{0.0355}{12})^{12\times \frac{1}{4}}[/tex]

[tex]A=3,260(1+0.002958333)^{3}[/tex]

[tex]A=3,260(1.002958333)^{3}[/tex]

[tex]A=3,260*1.00890128109888[/tex]

[tex]A=3289.0181763823\approx 3289.02[/tex]

Now, we will subtract principal amount from final amount to find amount of interest.

[tex]\text{Amount of interest}=3289.02-3260[/tex]

[tex]\text{Amount of interest}=29.02[/tex]

Therefore, you will earn am amount of $29.02 by the end of the third month.

Answer:

Chuck can afford both the convertible and sports car APEX

Step-by-step explanation:

Answer:

We can say that Chuck can afford both the cars.

Step-by-step explanation:

The EMI formula is :

[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

p = 28700

r = 6/12/100=0.005

n = 6*12=72

Putting the values in the above formula, we get:

[tex]\frac{28700*0.005*(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

Monthly payment is = $475.67

p = 29200

r = 6/12/100=0.005

n = 6*12=72

Putting the values in the above formula, we get:

[tex]\frac{29200*0.005*(1.005)^{72} }{(1.005)^{72}-1 }[/tex]

Monthly payment is = $483.96

We can see that in both the cases, the monthly payments or EMI's are less than $490.

Therefore, we can say that Chuck can afford both the cars.

108 is the number of blueberry baglels

Answer: the total number is 1

Step-by-step explanation:

Counting by 1's from any integer involves enumerating individual units, making use of discrete data in our powers-of-ten notation system. Counting is a precise method of measurement, yielding an exact number. However, not all quantities derived from measurements are exact.

When you count by 1's from any integer, you are essentially enumerating individual units. This is related to the concept of quantitative discrete data in mathematics. Discrete data take on only certain numerical values. For example, if you count the number of fingers on your hand, you get integer values such as one, two, three, up to five.

In our powers-of-ten notation system, each place in our numbering is ten times greater than the place to its right. This system got started because we humans have ten fingers and began counting with them. So when you count by 1's, you are in fact moving from one place to another in this system, starting from the given integer.

Also, counting is a precise method of measurement. The number of items being counted does not change while the process is underway, producing an exact number. Even with counting, however, some quantities can be derived from measurements, which are not exact due to practical limitations.

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The answer should be function

Answer:

yes

Step-by-step explanation:

as long as the polygon is not dilated or the size of the polygon is not changed in any way, the area should stay the same.

Answer:

I think they want you to put a closed circle on top of far going to the left. I'm not sure though :)

Answer:

that is not the correct graph of the solution

It would be 5 with an arrow pointing to the right. With an open circle

Step-by-step explanation:

It would not be filled in because 4 is not greater than or equal to x it is greater than. The arrow would point to the right because those are all the options for the solution, there are multiple.

Answer:

Its used for the domain and it means "the members of all REAL numbers" which refers to their being no imaginary number, for instance in inequalities that have square roots, it cant be a negative number otherwise you will get a imaginary number.

Step-by-step explanation:

The 'z€ R' notation means 'z is an element of R' or 'z belongs to R', which signifies that the variable z is a part of the set of real numbers. This indicates the domain for the variable in an inequality. Also, the principle of the z-score in statistics describes how many standard deviations above or below the mean a certain value lies.

The notation z€ R in mathematical terms is used to indicate that the variable z belongs to the set of real numbers. Real numbers (often denoted by R) include all the numbers that can be shown on the number line; this set comprises rational (e.g., integers, fractions) and irrational numbers (like roots of numbers that are not perfect squares). When related to an inequality, this statement provides a domain of numbers that can satisfy said inequality, helping solve problems or equations.

A related concept is the z-score in statistics. The z-score tells you how many standard deviations a value is above or below the mean. Values larger than the mean have positive z-scores, but smaller values have z-scores that are negative. The absolute value of the z-score indicates the distance from the mean, irrespective of direction.

An example: a variable x in an equation can be represented in terms of z-score as x₁ = µ + zơ, which would mean that x is greater than the mean µ when z is positive, and less when z is negative.

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Set u a ratio of height over shadow:

Lance = 5 feet tall / 8 foot shadow

Tree = X feet tall / 32 foot shadow.

Set the ratios equal to each other and solve for X:

5/8 = x/32

Cross multiply:

8x = 160

Divide both sides by 8:

x = 160/8

x = 20

The tree is 20 feet tall.

Answer:

D

Step-by-step explanation:

A is wrong because on the point -4, the function is equal to -12 and a states the local minimum on [-4, -2] is equal to zero. Since -12 < 0, A is wrong.

B is wrong because the function never even reaches 25 on the interval [-2, -2]

C is wrong because we can see that 3.9 is zero and the function is decreasing there. fro this we can determine the functions value at x = 4 is less than 0, meaning the minimum value is also less than 0.

Lastly, we can see that the lowest point fro 4 to 7 is at -7, meaning that D is correct.

D should be your answer

Answer:

A

Step-by-step explanation:

First, put this equation in slope intercept form.

[tex]y=mx+b[/tex]

Where m is the slope and b is the y intercept.

[tex]y+1>2(x-1) \\ \\ y+1>2x-2 \\ \\ y>2x-3[/tex]

Since it's greater than, the solution set is above the line, effectively eliminating graph D.

Now we should graph it.

We can see that the point [tex](2,1)[/tex] is on the graph, and only Graph A has that point. Therefore, Graph A is the correct graph.

Answer:

A

Step-by-step explanation:

We can simply treat the inequality like an equation because the numbers are on the line. That is y + 1 = 2(x - 1).

Then, we can plug in some numbers:

If x = 2: y + 1 = 2(2 - 1)

y + 1 = 2

y = 1

So one point on the line is (2, 1). B, C, and D don't work because it is impossible for this point to be on the line; the x coordinate corresponds to another y-coordinate, or vise-versa ((3, 1), (2, 0) and (3, 1), respectively) . Therefore, the correct answer is A.

Answer:

D

Step-by-step explanation:

D would be the correct answer because the x values have their individual y values. D is the only answer where the x point doesn't repeat, and the only time it can repeat is if the x points have the same y value such as: (2,4) (2,4)

For each value of x, the value of y is different. Then the correct option is D.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Individual y values exist for each of the x values. The only instance the x point can recur is if the x locations have about the same y value, as in D. (2,4).

Then the points represents a function is (1, 7), (2, 1), (5, 3), (4, 9), (6, 3).

Thus, the correct option is D.

More about the function link is given below.

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