5. An acute triangle has a base of 4 cm and a height of 8 cm. What is the area of the triangle?
32 cm²
12 cm²
16 cm²
64 cm²

Answer:

Equation:  [tex]\frac{7}{3}t + \frac{5}{2}t = 87[/tex]

Hours: 18

Step by Step:

(7/3)t + (5/2)t = 87

(14/6)t + (15/6)t = 87

(29/6)t = 87

29t=522

t=28

Answer:

89.10 trust me

Step-by-step explanation:

trust me bro

The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .

To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.

The multiples of 4 and 7 are:

Multiples of 4 :

4, 8, 12, 26, 20, 24, 28, 32, 36, 40,

Multiples of 7 :

7 , 14 , 21 , 28 , 35 , 42 , 49

The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.

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Answer: 28 years

Step-by-step explanation:

Given

The equation showing the value of the bag after x years is [tex]C=25(1.025)^x[/tex]

If the price of the bag increased by 2.5%, from the equation, we can deduce that

Initial cost of the bag is 25

Double of the initial value is 50

Insert it in the equation

[tex]\Rightarrow 50=25(1.025)^x\\\Rightarrow 2=1.025^x\\\text{Taking natural log}\\\Rightarrow \ln 2=x\ln (1.025)\\\\\Rightarrow x=\dfrac{\ln 2}{\ln 1.025}\\\\\Rightarrow x=28.07\approx 28[/tex]

It will take 28 years

The example of Quadrant 2 is (-1, 1)

The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.

Here we have to give the example for quadrant 2.

In order to find the example, first we have to know the definition and properties of quadrant 2.

The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.

Therefore, the resulting coordinate for Quadrant 2 is written as,

=> (-1, 1)

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Answer:

D. The points seem to be clustered around a line.

Step-by-step explanation:

The scatterplot points are spread out and forming a line, not around a point.

There are two outliers.

Answer: Commutative property.

Step-by-step explanation: Basically, the commutative property can be expressed as a + b = b + a, which matches this scenario pretty well. You are correct.

Let me know if this is right! :)

Answer:

22. acute triangle

23. right triangle

24. equilateral triangle

25. right triangle

Step-by-step explanation:

let me know if any of these are wrong

Applying it's formula, the surface area of the given cylinder is:

B. S = 250pi cm²

The surface area of a cylinder with radius r and height h is given by the following formula:

S = 2pi(r + h)

For this problem, the dimensions are given as follows:

r = 5 cm, b = 20 cm.

Hence we apply these measures to the given formula, and the surface area in square centimeters is given as follows:

S = 2pi(r + h)

S = 2pi x 5(5 + 20)

S = 250pi cm²

Hence option B is the correct surface area.

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Answer: 294 feet^2

Step-by-step explanation:

Find the volume of the cube.

Find the cube root of the volume.

Plug this answer into the formula for finding the surface area of a cube.

(area = 6 · s2)

Answer:

294cm[tex]^{2}[/tex]

Step-by-step explanation:

A cube has 6 faces

To find out the area of one face, you'd have to do 7x7 (7[tex]^{2}[/tex]).

To find out the total surface area of the cube, use this equation to help you:

AREA= 6(the amount of faces of the cube) × 7[tex]^{2}[/tex](the area of ONE face)

so in other words...

AREA=6×7[tex]^{2}[/tex]

AREA= 294cm[tex]^{2}[/tex]

hope this helped:)

Answer:

96units

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

The minimum occurs at the turning point ( vertex )

The coordinates of the vertex are (1, - 2 ) → A

The x- intercepts are the points where the graph crosses the x- axis

This occurs at (3, 0 ) and (- 1, 0 ) → B

The axis of symmetry is a vertical line passing through the vertex

Equation of axis of symmetry is x = 1 , not y = - 2

(1, - 2 ) is a minimum not a maximum , see above

The explicit formula for an arithmetic sequence whose common difference is 8 and the first term is -2 is

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The sequence is given by the formula

nth term = a + (n - 1) * d

where a = first term

n = the term

d = common difference

In the problem, d = -2 and a = 8, because of this we have

= a + (n - 1) * d

= 8 + (n - 1) * -2

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Answer:

Step-by-step explanation:

from the figure we kown the speed is 9/3=15/5=21/7=3 km per minute

the distance in 8 minute is 3 ×8=24 km

Answer:

y is > 7

Step-by-step explanation:

Any y value greater than 7 would make the product greater than 5. This can be looked at as y > 7. So y/7 can be rthough of as y divided by 7. 5 x y/7 can be though of as y * 5 divided by 7. Or 5y/7. To make this value 5, y must be 7. Since 7/7 is 1, and 1*5 is 5. If the number is greater than this it would have to be >7/7, since this would make it >1*5. So y must be >7. Hope this helps!

Answer:

9 (or anything above)

Step-by-step explanation:

5 x 9/7 = 45/7 = 6 3/7. Anything above would also work. Also, 8 and 7 work too

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

We know,

______________________

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

calculated margin of error = 0.376

It is a statistical term that implies the amount of permissible error within the survey data. This error indicates the difference between statistical result and actual result.

margin of error can be determined by multiplying the critical value to the standard deviation.

given, mean GPA of 75 sophomores = 3.26 = Xi

standard deviation = 0.62 = s

sample number = 75 = n

total sophomores = 500

z value of the sophomores = mean / standard deviation = 3.26 / 0.62

Z value = 5.26

margin of error = Z value × standard deviation / (√number of sample)

margin of error = 5.26 × 0.62/ √ (75)

                      = 0.376

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Answer:

b. 2 feet

Step-by-step explanation:

The formula for volume of a cylinder is: V=πr^2h

Start by plugging in what they give you

V=πr^2h

314 =π(r)^2(25)

314 = 25π(r)^2

divide both sides by 25π, which is 78.5

4 = r^2

take the square root of both sides

r = 2

Answer:

Step-by-step explanation:

122121

Answer:

try the diamond see if that works sorry if its wrong

Triangle is  most likely the next step in the series, option D is correct.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The first polygon is hexagon which has 6 sides

The second polygon is Pentagon which has 5 sides

The third polygon is square which has 4 sides

As we observe one side is decreasing from the each polygon from 1st to 3

So the fourth polygon will have three sides which is triangle

Hence, triangle is  most likely the next step in the series, option D is correct.

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Answer:

5.

we have.

11x=½(16x+16+50)

22x=16x+66

22x-16x=66

6x=66

x=66/6

x=11

6.

118°=½(6x-11+181)

236=6x+170

6x=236-170

x=66/6

x=11°

7.

34°=½(arcAK-arc LN)

34×2=(110-arc LN)

arc LN =110-68

arc LN=42°

8.

<L=½(arc EN-arc KM)

<L=½(139°-73°)

<L=33

Answer: The greatest of the three is 10.

Step-by-step explanation:

27/3=9 so the numbers will be around nine.

8+9+10=27

Answer:

Let x represent the value of the smallest of the three consecutive integers.

Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.

Since the sum of the three integers is 27, we have:

x + (x+1) + (x+2) = 27

Combining like terms, we have:

3x + 3 = 27

Subtracting 3 from both sides, we have:

3x = 24

Dividing both sides by 3, we have:

x = 8

Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.

Thus, the value of the greatest integer is 10.

Step-by-step explanation:

Answer:

The approximate area by Riemann Sum of the curve is represented by [tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex].

Step-by-step explanation:

The area below the curve is estimated by the concept of Riemann Sum with right endpoint rectangles, which is defined by the following formula:

[tex]A = \left(\frac{\Delta x}{n} \right) \cdot \Sigma \limits_{t = 1}^{n} g\left (x_{o} + \frac{\Delta x}{n}\cdot t \right)[/tex] (1)

Where:

[tex]A[/tex] - Area below the curve, in square units.

[tex]n[/tex] - Number of rectangles, no units.

[tex]x_{o}[/tex] - Lower bound of the interval, in units.

[tex]\Delta x[/tex] - Length of the interval, in units.

[tex]t[/tex] - Summation index.

If we know that [tex]g(x) = 2\cdot x^{3} - 4[/tex], [tex]n = 10[/tex], [tex]x_{o} = 2[/tex] and [tex]\Delta x = 4[/tex], then the area below the curve is represented by the following equation:

[tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex]

The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4

The expression is 3x²

To find : The coefficient of the variable x² in the expression

Coefficient is the number that is beside the variable in the equation.

The coefficient of x in 3x²  is 3

A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6

As we can see that the term that is in multiplication with x²  is 3.

Hence, the coefficient of x²  in the equation 3x²  is 3.

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Constant or Zero polynomial, Linear polynomial, Quadratic polynomial, Cubic polynomial, and Quartic polynomial are the five kinds of polynomials.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.

Constant Polynomial Function: P(x) = a = ax.

Zero Polynomial Function: P(x) = 0; where all ai's are zero, i = 0, 1, 2, 3, …, n.

Linear Polynomial Function: P(x) = ax + b.

Quadratic Polynomial Function: P(x) = ax2+bx+c.

Cubic Polynomial Function: ax3+bx2+cx+d.

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Answer:

f(6) = - 50

Step-by-step explanation:

substitute x = 6 into f(x) , that is

f(6) = - 6² - 14 = - 36 - 14 = - 50

Answer:

-50

Step-by-step explanation:

f ( x ) = - x² - 14

Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).

f ( 6 ) = - (6)² - 14

f ( 6 ) = - 36 - 14

f ( 6 ) = -50