Please help me!!!!! 30 points

A triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle Thus, the triangle is not acute because 2² + 4² < 5².

An acute angle is defined as the measure of an angle that is less than 90 degrees.

The square of the hypotenuse of a right triangle with the given sides would be 2² +4² = 20.

So, that hypotenuse would be √20, about 4.47.

The long side of this triangle is longer than that, hence the angle opposite is larger than 90°. The triangle with sides 2, 4, and 5 is an obtuse triangle.

The triangle is not acute because 2² + 4² < 5²

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Answer:

The answer is C I just did it

Step-by-step explanation:

Answer:

27,375.34

Step-by-step explanation:

I did 3 percent of 28,222 then subtracted it from 28,222

51-2C

Hope it helps.

Do comment if you have any query.

Answer:

The first figure: Its the Triangle

The second figure: Its the rectangle

The third figure: Its the rectangle (for me this one would be a square)

Hope this helps!!

Answer:

The total amount the customer would have to repay after one year is $1,007.

(2 Years = $1,067.42)  (3 Years = $1131.47)  (4 Years = $1199.36)

(5 Years = $1271.32)

Step-by-step explanation:

$950 • 6% = $57

$950 • 0.06 = $57

$950 + 6% = $1,007

I hope this helps.

The histogram shows the distribution of the x and y values

The minimum x value is 3, the maximum x value = 8 and the interval size is 1

From the figure of the given histogram, we have the following highlights:

The interval size is the difference between different classes.

i.e.

Interval = 4 - 3

Interval = 1

Hence, the interval size is 1

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Answer:

b

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

the discriminant b² - 4ac informs us about the nature of the roots

• If b² - 4ac > 0 then roots are real and irrational

• If b² - 4ac > 0 abd a perfect square then roots are real and rational

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 the roots are complex

4x² + 6x - 7 = 0 ← is in standard form

with a = 4, b = 6, c = - 7 , then

b² - 4ac = 6² - (4 × 4 × - 7) = 36 - (- 112) = 36 + 112 = 148

since b² - 4ac > 0 then roots are real and irrational

[tex](5i)^2\\\\=25\cdot i^2\\\\=25(-1)\\\\=-25[/tex]

(5i)² can be written in integer form as as -25.

The numbers which can be expressed in the form of a + ib, where both 'a' and 'b' are real numbers and 'i' an imaginary number is called complex numbers.

So a complex number has a real part and an imaginary part.

The imaginary number 'i' is called iota and value of i is √-1.

We know the value of i.

i = √-1

i² = -1

(5i)² only has an imaginary part.

∴ (5i)² = 5² i²

          = 25 × -1

          = -25

Hence we can write (5i)² as -25 in the integer form.

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Answer:200

Step-by-step explanation:

Answer:

1st: Is the first answer. Circle P.

2nd: the central angle is , Angle BPC

3rd: The minor arc is BC

4th: MAjor arc is BAC

5th: Semicircle is ABC

Answer: 475 boxes

Step-by-step explanation: i did the math

i divided  57 by 3 and it was 19 thats the amount of bxes per min then i multipyed by 25

Answer:

475

Step-by-step explanation:

In 1 minute It makes:

57/3 = 19

In 25 minutes It makes:

25 * 19 = 475

Answer:

your answer is in the attachment

Step-by-step explanation:

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The value of c that makes the given trinomial a perfect square is 9.

The given expression is:

[tex]x^{2} +6x+c[/tex]

A polynomial is called a perfect square trinomial if it can be written in terms of the square of another polynomial.

Let us write the given expression in (a+b)² form

[tex]x^{2} +6x+c[/tex]

[tex]x^{2} +2*3*x+c[/tex].....(1)

We know [tex](a+b)^2=a^{2} +2ab+b^{2}[/tex]......(2)

To make (1) like  we need to put c=9

[tex]x^{2} +2*3*x+9[/tex]

[tex]x^{2} +2*3*x+3^2[/tex]

[tex](x+3)^2[/tex]

Hence, the value of c that makes the given trinomial a perfect square is 9.

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Answer:

y = 7

Step-by-step explanation:

Since the biggest exponent on the top (numerator) and the bottom (denominator) are EQUAL...both are the third power in this question. Then just grab the coefficients (the number next to it, the 14 and below, the 2)

Keep them stacked the way you see them:

14/2 and write the equation. A horizontal line has the form y=

In this case, y = 14/2

y = 7

(jfyi if the top has a bigger exponent, then NO horizontal asymptote. If the bottom has a bigger exponent, then the H.A. is y = 0)

Answer:

12,81,12,81

Step-by-step explanation:

3+3+3+3=6+6=12

3*3*3*3=9*9=81

4*3=12

3^4=9*9=81

Answer:

0.111

The probability of two blue marbles being drawn from the bag to all marbles is 2/18, and 2/18 ----> 0.11 rounded to nearest thousandth.

Step-by-step explanation:

Answer: 6/7

Step-by-step explanation:

_________________________________________________________

Why do we include 40 if it says less than?

Good question.

We include 40 because it technically counts as representing itself or anything within the range of 20 and 40

The maximum revenue of the craftsman is an illustration of objective function

The craftsman can at most make $500, if he makes 100 bracelets

Represent bracelet with b and necklace with n.

From the question, we have:

                 b              n        Total

Unit           10          20        1000

Time         10           40        1600

Cost         5           7.5

So, we have the objective function to be:

Max C = 5b + 7.5n

And the constraints are:

10b + 20n ≤ 1000

10b + 40n ≤ 1600

b ≥ 0

n ≥ 0

From the given graph of the constraints, we have the following feasible points

(b,n) = (0,0) (40,30) (0,50) and (100,0)

Substitute these values in the objective function

C(0,0) = 5(0) + 7.5(0) = 0

C(40,30) = 5(40) + 7.5(30) = 425

C(0,50) = 5(0) + 7.5(50) = 375

C(100,0) = 5(100) + 7.5(0) = 500

The maximum revenue is at the point (100,0)

Hence, the craftsman can at most make $500, if he makes 100 bracelets

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The dot plot shows the frequency or length of the tadpoles

The total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches

From the dot plot, we have the following parameters:

So, the total length is:

Total = 3 * 1/8 + 2 * 1/4

Evaluate the product

Total = 3/8 + 1/2

Rewrite as;

Total = 3/8 + 4/8

Evaluate the sum

Total = 7/8

Hence, the total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches

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The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

let us take the radius of the larger sphere r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

The surface area of a sphere with radius r is 4πr².

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

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Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because 0.44<0.89/2<0.45.  This statement of anyah is false because the√0.89 = 0.9433.

2. Matthew states that the square root of 0.89 is between 0 and 1 because 0< 0.89<1. the value lies between 0 and 1 So this statement is true.

3. Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0. This statement is true because the square of 0.9 is 0.81 and 1.0 is 1, and 0.89 lies in between them. So the statement is true.

4. Ming states that the square root of 0.89 is between 0.93 and 0.95 because of 0.93^2 <0.89<0.95^2. this statement is also true.

Here Matthew’s, Rhoda’s, and Ming’s are true except the Anyah's statement Hence the correct option is D.

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Answer:

D

Step-by-step explanation:

Answer:

Answer is 1/5 which is exactly 0.2

Step-by-step explanation:

5x + 1 = 2

5x = 2 - 1

5x = 1

x = 1/5

x = 0.2

Answer:

B. None of the above

Step-by-step explanation:

For this problem the strategy is to count the squares to find the value of each dimension:

Volume = L x W x H

Volume = 4 x 3 x 5

Volume = 60 units cubed

I hope this helps!

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.

The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.

If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:

A = w · h

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. [tex]\blacksquare[/tex]

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According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.

The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.

The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,

The regression equation for this data can be given as,

[tex]\hat y=4.53939 X+77.83636[/tex]

Put the value of temperature (y) 100 in this equation.

[tex]100=4.53939 X+77.83636\\X=\dfrac{100-77.83636}{4.53939}\\X\approx 5[/tex]

Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.

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Answer:  

the first answer is correct (a)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Both Equations do not have the same y- intercept and slope, so they can not have infinitely same solutions.