Ivy wants to see 20 birds on her hike. So far, she has seen 8. How many more birds does she need to see.

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

Answer:

An equation is basically a way to show a relationship of variables (x,y,a,b, etc) and numbers.

Step-by-step explanation:

Answer:

Shown by explanation.

Step-by-step explanation:

An equation shows a relationship between variables and other factors by defining the variables that are dependent and independent and how these dependent variables are related to the independent variables, this is usually as a result of a prescribed experiment where the relationship of this variables are investigated.

Also remember conditions that favour this experiment must be taken into consideration. And the experiment must always be performed under such conditions.

Answer:

68°

Step-by-step explanation:

The angles are equal to each other.  Set them equal and solve for x

5x + 18 = 8x - 12  Subtract 5x from both sides of the equation

18 = 3x - 12  Add 12 to both sides of the equation

30 = 3x  Divide both sides by 3

10 = x

Now that you have found x plug is back into  5x + 18

5(10) + 18

50 + 18 = 68

Answer:

∠ FLJ = 68°

Step-by-step explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°

The circumference formula is given by:

Where r is the radius of the circle. From the problem, we have r = 10.9 ft. Then, using the formula:

The circumference is 68.5 ft

The cost to cover one-third of the land is 36 dollars.

It cost $108 to cover 1 meter square with matted grass.  The cost to cover one-third of the land can be calculated as follows:

1 / 3 of the land = 1 / 3 of 1 metres squared = 1 / 3 metres square

Using proportion,

1 metre square = 108 dollars

1 / 3 meters square = ?

cross multiply

The cost to cover one-third of the land = 108 ÷ 1 / 3

The cost to cover one-third of the land = 108 / 3

The cost to cover one-third of the land = 36 dollars

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The amount it will cost to cover 1 / 3 of the land area is 36 dollars.

It cost 108 dollars  to cover an area of 1 metre square with matted grass.  The amount of money it will take to cover 1 / 3 of the land area can be calculated as follows:

let's find 1 / 3 of the land area.

1 / 3 of the land area = 1 / 3 × 1 = 1 / 3 metres square

Therefore,

1 metres square = 108 dollars

1 / 3 metres square = ?

cross multiply

Hence,

amount to cover 1 / 3 of land = 1 / 3 × 108

amount to cover 1 / 3 of land = 108 / 3

amount to cover 1 / 3 of land = 36 metres square.

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To convert 5.4 square meters to square centimeters is 54,000 cm²

To convert 5.4 square meters (m²) to square centimeters (cm²),

We need to multiply it by 10,000 (since 1 meter = 100 centimeters).

5.4 m² = 5.4 x 10,000 cm² = 54,000 cm²

Therefore, 5.4 square meters is equal to 54,000 square centimeters.

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Answer:

34 Hours

Step-by-step explanation:

358-35= 323

323÷9.50= 34

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

Answer:

he makes $112.50

Step-by-step explanation:

first you have to find out how much he makes before tax is taken out. all you do is multiply 12.50 by 30, which gives you $375.00. then, you can either put in the calculator 30%375 or 0.3×375(both are the same thing) and you should get $112.50

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

15cm and 45cm

Step-by-step explanation:

If one part is one third of the other, then the long one is three times as long as the short one.

If the short one has length x

x + 3x = 60cm

4x = 60cm

x = 15cm

So short one is 15cm and the long one is 3*15cm = 45cm

The property that justifies the statement is the transitivity

Note that the trail mix cost $6.75 per pound. That is, 1 pound cost $6.75. Thus, 2.45 pounds will cost:

thus, we can conclude that the correct answer is:

Robert spend:

$16.5

Answer: C

Step-by-step explanation:

Count the units from Q to T. Or you can find the difference between -4 to 5 (point Q to T)

Answer:

Matching the scenario with the correct type of problem:

a. one mean

b. one proportion

c. one proportion

d. one mean

Step-by-step explanation:

A one-proportion problem is tested using the one-sample proportion test.  This estimates the proportion of a population by comparing the proportion to a target or reference value.  On the other hand, a one-mean problem is tested using the one-sample t-test.  This tests whether a population mean is significantly different from some hypothesized value.

Step-by-step explanation:

use length x width x height

Hey there!

4.5(x + 3)

= 4.5(x) + 4.5(3)

= 4.5x + 13.5

Therefore, your answer is: 4.5x + 13.5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

r = 12 millimeters

Step-by-step explanation:

Surface area of a ball = 4πr²

Surface area of a ball = 576 pi square millimeters

Surface area of a ball = 4πr²

576π = 4πr²

r² = 576π / 4π

r² = 144

Find the square root of both sides

√r² = √144

r = 12

r = 12 millimeters

Answer:

The answer is 12 millimeters

Step-by-step explanation:

I'm doing it rn

Answer:

I think it's "B. f(x) = 3x^4 + 12x^3 + 8x^2 + 60", if I did it correctly.

Check the picture below.

so notice, the area of the pyramid is really just the area of the four triangles with an altitude of 3 and a base of "s", and a square that s² in area, and we happen to know that's 40 inches.

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(\underset{b}{s})(\underset{h}{3}) \right]}~~ + ~~\stackrel{ square }{(s)(s)}}~~ = ~~40\implies 6b+s^2=40\implies s^2+6b-40=0 \\\\\\ (s+10)(s-4)=0\implies s= \begin{cases} -10\\ ~~ ~~ 4 ~in~~ \textit{\LARGE \checkmark} \end{cases}\)

now, let's notice, we can't use the negative value, because the sides are never negative.

The second i.e. reflecting first across y-axis and then x -axis and the third i.e. reflecting and rotating counterclockwise about origin, sequences of transformation will map the figures.

What is transformation?

A point, line, or geometric figure can be transformed in four different ways, each of which alters the shape and/or placement of the object.

Although Image refers to the position and ultimate shape of the object, Pre-Image refers to the shape of the thing as it was before alteration.

We are given coordinate axis with two figures ABCD and EFGH.

In order to map the figures, we can reflect the figure across y - axis first and then across x - axis. This transformation will map the figure.

Also, another sequence can be reflecting the figure in origin and then rotating it 90° counter clockwise about the origin.

Hence, the second and third sequences of transformation will map the figures.

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The 7th term of an Arithmetic Progression 50+45+40 is 20

The Arithmetic Progression is given as:

50+45+40

In the above Arithmetic Progression, we have

First term, a= 50

Common difference, d = 45 - 50 = -5

The nth term of the Arithmetic Progression is calculated as:

Tn = a + (n - 1)d

Substitute the known values in the above equation

Tn = 50 + (n - 1) * -5

Substitute 7 for n in the above equation

Tn = 50 + (7 - 1) * -5

Evaluate the product

Tn = 50 - 30

Evaluate the difference

T7 = 20

Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20

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The options equivalent to the given fraction are:   -11 ÷ 4,  -11 ÷(- 4), \(\frac{-11}{4}\) , \(\frac{11}{-4}\)

\(-\frac{11}{4}\) is an improper fraction. An improper fraction is a fraction in which the numerator is larger than the denominator.  \(\frac{-11}{4}\) can also be written as -11 ÷ 4.

In order to determine the answers, take note of the following rules:

Using the above rules, the equivalent options are:  -11 ÷ 4,  -11 ÷(- 4), \(\frac{-11}{4}\) , \(\frac{11}{-4}\)

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The first, second, fourth, and fifth options among all are equivalent to \(\frac{-11}{4}\).

These all are forms of division.

The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.

The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.

Hence, the first, second, fourth, and fifth options are correct.

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Answer:

his son

Step-by-step explanation:

Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.

To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.

Given:

Length of the cylindrical steel pipe (hollow part) = 21 cm

Radius of the solid cylinder = 0.4 cm

Radius of the hollow cylinder = 0.1 cm

First, let's calculate the volume of the solid cylinder (hollow part):

V1 = π × \(r1^2\) × h

V1 = π × \((0.4 cm)^2\) × 21 cm

Next, let's calculate the volume of the hollow cylinder:

V2 = π × \(r2^2\) × h

V2 = π × \((0.1 cm)^2\) × 21 cm

Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:

Volume of liquid = V1 - V2

Let's calculate these values:

V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³

V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³

Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³

To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:

Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L

Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.

Therefore, none of the options A, B, C, or D provided is the correct answer.

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The angle the pole makes with the tent is 39.7°.

What is an angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle.

Angles formed by two rays are located in the plane containing the rays.

Trigonometric ratio: the trigonometric ratio is used to demonstrate the relationship between the sides and angles of a right-angled triangle.

Let θ represent the angle the pole makes with the tent.

Using trigonometric ratios:

cos(θ) = 20/26

θ = 39.7°

Therefore, the angle the pole makes with the tent is 39.7°.

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With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.

One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.

These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.

So, in the given situation:

TR and WY are as follows:
TR/WU

24/2

2/1

Similarly,

TS/WV

2/1

7/x

7/3.5

Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.

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