Use the FOIL Method to find (k+5)(k−1).

Therefore, the measures of those two angles are 33° and 24°.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle."

Geometry is a branch of mathematics that studies the sizes, shapes, positions, angles, and dimensions of things.

We know, the sum of the angles in a triangle is always 180 degrees.

126 + x + y = 180

x + y = 54

Given that the two angles are in a ratio of 11:16, the proportion:

x/y = 11/16

Solving for x and y, we get:

x = 11y/16

We substitute this equation into the equation x + y = 54 and we get:

11y/16 + y = 54

Solving for y we get y = 24. Then we can use the proportion to find x:

x = 11 * 24 / 16 = 33.

So the two angles are 33° and 24°.

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Answer:

Step-by-step explanation:

12x + 105 = 55x + 0
=> 12x + 105 = 55x
=> 55x - 12x = 105
=> 43x = 105
=> x = 105/43
12y = 155
=> y = 155/12

Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both.

For a square whose side are 2 units long is :

= 2 + 2 x 2 + 2

= ( 2 + 2 ) x 2

= 2 x 4

= 2 x 3 + 2 = 8

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Sara's mom average speed is 66mph. The next step is to divide the distance by the time: 33/0.5 = 66 mph.

You may estimate the average pace at which an object will go a distance by looking at its average speed. Average speed is calculated by dividing a quantity by the time required to obtain that quantity.

Finding the distance and the time is necessary to calculate speed.

In this situation, you must deduct mile marker 88 from 121 to determine the distance.

121 - 88 = 33mile

Even though the time is 30 minutes, you're probably interested in miles per hour. 30 minutes must be converted to 0.5 hours.

The next step is to divide the distance by the time: 33/0.5 = 66 mph.

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The exact value of secθ in simplest radical for is 1.083

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are Given θ is an angle in standard position.

Its terminal side passes through the point (12, -5).

To find the exact value of secθ in simplest radical form.

When θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

So, we have x = 12 and y = -5 which is in the first quadrant.

Therefore,

r² = x² + y²

r² = ( 12 )² + ( -5 )²

r² = 144 + 25

r² = 169

r = 13

Then,

sec θ = 1/cosθ

sec θ = [ 1/(x/r) ]

sec θ = r/x

sec θ = 13/12

sec θ = 1.083

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Answer:

Student =100

Step-by-step explanation:

Answer:

1/3 + 1/3 = (1+1)/3 = 2/3

1) 2/3

5/7 - 2/7 = (5-2)/7 = 3/7

2) 3/7

so all you have to do is add or sub the fractions together.

1/3 + 1/3 = 2/3

5/7 - 2/7 = 3/7

for the first box is 2/3

Second box is 3/7

GOODLUCK

Here acccording to the question,We are examining the conditions under which the sampling distributions of the sample proportions given.

Sampling distribution is a statistic that determines the probability of an event based on data from a small group within a large population. Its primary purpose is to establish representative results of small samples of a comparatively larger population. Since the population is too large to analyze, you can select a smaller group and repeatedly sample or analyze them. The gathered data, or statistic, is used to calculate the likely occurrence, or probability, of an event.

We are examining the conditions under which the sampling distributions of the sample proportions appear uniform, roughly normal, skewed to the left or skewed to the right.

When np10 and n(1p)10, where n is the sample size and p is the sample of proportions, are true, we know that the sampling proportions of the sample distributions will have a normal shape.

Aforementioned that our sample size is 300 people and that p = 0.45, we can use the given data to calculate

Successes anticipated: np= 300(0.45) = 135 10

Failures predicted: n(1p)=300 (10.45)=165 10

Since both of these statements are accurate, sample distribution sampling proportions will have a normal shape.

Because we anticipate each sample to have at least 10 successes and 10 failures, we have a normal sampling distribution.

As a result, the sample distribution has a roughly normal shape.

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Answer:

The first person is about 4327.76 feet away from the island.

Step-by-step explanation:

We can draw a diagram to represent the situation. This is attached below.

Essentially, we want to find the value of x.

We are given that ∠A is 37° and ∠B is 55°.

The interior angles of a triangle must total 180°. Hence:

[tex]m\angle A+m\angle B+m\angle C=180[/tex]

Substitute:

[tex](37)+(55)+m\angle C=180[/tex]

Thus:

[tex]\displaystyle m\angle C=88^\circ[/tex]

We are also given that the length of the bridge is 5,280 feet. Since we want to find x, we can use the Law of Sines:

[tex]\displaystyle \frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}[/tex]

The variables do not really matter. It is more important that we align the angles with their respective (i.e. opposite) sides.

The respective side to ∠C is AB which measures 5280.

The respective angle to x is ∠B, which is 55°.

Hence:

[tex]\displaystyle \frac{\sin(55)}{x}=\frac{\sin(88)}{5280}[/tex]

Solve for x. Cross-multiply:

[tex]x\sin(88)=5280\sin(55)[/tex]

Thus:

[tex]\displaystyle x=\frac{5280\sin(55)}{\sin(88)}[/tex]

Use a calculator:

[tex]\displaystyle x\approx 4327.76\text{ feet}[/tex]

The first person is about 4327.76 feet away from the island.

The circle's radius is equal to 3.659 or 3.7.

A circle's or a sphere's radius is the length of the line between the center and the edge.

From the center of the circle or sphere to any point on its perimeter, the radius' length is constant.

Its diameter is halved by its length.

A line segment from a circle's or sphere's center to its perimeter or boundary is known as the radius in geometry. I

t is a crucial component of spheres and circles and is frequently abbreviated as "r."

When discussing multiple radiuses at once, the plural form of radius is "radii." the longest line connecting any points on the opposite side of a circle or sphere.

Hence, The circle's radius is equal to 3.659 or 3.7.

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Answer:

They are discounted for 38% off.

Answer:

36.373 not rounded

Step-by-step explanation:

Using pythagoras theorem

a^2 =b^2 +c^2

a always is the hypotenuse (the opposite side to the 90 angle)

b and c are the other sides obviously

So here we have a = 38

let b =11

So for c =sqrt(38^2 - 11^2)=36.373

Answer:340 cm long

Step-by-step explanation: multiply 7 x 10 then 70 x 12

Answer:

f(x)=5x-6

Step-by-step explanation:

When I entered this in Desmos it crossed through the line crossed  through the x and y axis which makes this equation a linear function.

Answer:

f(x) = 5x - 6

Step-by-step explanation:

The first function is a Linear Function

The second function is a Exponential Function

The third is an Inverse Function

The forth is a Quadratic Function

Hope this helps!

Answer:

AB and DE

Step-by-step explanation:

Look closely and you can notice whats the difference.

OK

Answer:

y = 17x-67

Step-by-step explanation:

The one point form of line also called slope point form is given by

[tex](y-y_1)=m(x-x_1)[/tex]

where (x1, y1) is the point and m is slope

Given: (x1, y1) = (4,1) and m= 17

Substituting these values in above equation to find equation in point-slope form

(y-1)=17(x-4)

y-1 = 17x-68

y = 17x-67

the point -slope form of equation y = 17x-67

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A. Quadrilateral

Step-by-step explanation:

quardrilateral Shapes have 4 corners. and That is the Most Precise classification of this Shape

Answer:

7 packets of grass seed

Step-by-step explanation:

First, find the area of the circular lawn using the formula, A = [tex]\pi[/tex]r²

If the diameter is 20 meters, the radius is 10 meters.

Plug in 10 as the radius and solve for the area:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](10²)

A = 100[tex]\pi[/tex]

So, the area of the lawn is 100[tex]\pi[/tex] m² or approximately 314.16 m²

Divide this by 50 to find how many packets of grass seed are needed:

314.16/50

= 6.28

Round this up to 7, since we need to have a whole number answer.

So, 7 packets of grass seed have to be bought.

Answer

16

STEP BY FŔIGGIN STEP

simplify the first one into an exponent

-

2 exponent 8

then the second one

-

2 exponent 4

Now simplify the exponents

2 exponent 8 = 256

2 exponent 4 = 16

Use that knowledge to divide the two

256 ÷ 16 = 16

Hope I helped! :)

Answer: 16   =D

Step-by-step explanation:

2.2.2.2.2.2.2.2/2.2.2.2=16

hope this helped

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The flux of F across S will be [tex]\frac{3\Pi}{2}[/tex]

A vector of magnitude 1 that is at some point perpendicular to a two-dimensional curve is referred to as the unit normal vector. Normally, you search for a function that returns not just one vector but all potential unit normal vectors of a given curve.

A vector that is perpendicular to a surface at a certain location is known as the normal vector, also referred to as the "normal" to a surface. The inward-pointing normal (pointing toward the interior of the surface) and outward-pointing normal are often distinguished when normals are taken into consideration on closed surfaces.

[tex]$Z_x=-2 x: \quad Z_y=-2 y$[/tex]

[tex]$N=\langle 2 x, 2 y, 1\rangle \quad: f=\langle x, y, z\rangle$[/tex]

[tex]f. $N=2 x^2+2 y^2+z=2 x^2+2 y^2+1-x^2-y^2$[/tex]

=1+x^2+y^2

[tex]x^2+y^2=1\\ \Rightarrow \quad x=r \cos \theta\\ \Rightarrow \quad y=r \sin \theta \\ \Rightarrow x^2+y^2=r^2 \\ 0 < r < 1: \quad 0 < \theta < 2 \pi[/tex]

[tex]$R \cdot v=\int_0^{2 \pi} \int_0^1\left(1+r^2\right)(r) dr d \theta$[/tex]

[tex]$=2 \pi \int_0^1 r+r^3 d r$[/tex]

[tex]$2 \pi\left[\frac{r^2}{2}+\frac{r^4}{4}\right]_0^1$[/tex]

[tex]$=(2 \pi)\left(\frac{1}{2}+\frac{1}{4}\right)$[/tex]

[tex]$=\frac{(2 \pi)(3)}{42}=\frac{3 \pi}{2}$[/tex]

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Br₂ does not equal to Avogadro's number. Since bromine is a diatomic element.

What is a diatomic element?

Diatomic molecules—so named because they only contain two atoms of the same or different chemical elements—are molecules that are made up of two atoms. A diatomic molecule is considered to be homonuclear if it contains two atoms of the same element, such as oxygen (O₂) or hydrogen (H₂).

Each bromine molecule consists of 2 atoms of bromine. Br₂ consists of two moles. One mole of bromine consists of 6.02214076 × 10²³ atoms. Thus 2 moles of bromine consist of 2 × 6.02214076 × 10²³ = atoms. Thus Br₂ does not equal to Avogadro's number.

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Answer:

A. The ratios are both identical (three fifths and three fifths).

Step-by-step explanation:

ratio means fraction

ratio also means division

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"SOHCAHTOA"

sine equals opposite over hypotenuse cosine equals adjacent over hypotenuse tangent equals opposite over adjacent

mathworldwolframcom

sine equals opposite over hypotenuse

sine X equals 3 over 5

cosine equals adjacent over hypotenuse

cosine Y equals adjacent over hypotenuse

cosine Y equals 3 over 5

side thats 3 is adjacent for y but

side thats 3 is also opposite for x

both identical, aka C on their question is right

its the 1st option for flvs

Answer:

All 3 backpacks are equal in weight, there is none that is heavier or lighter than the others. That is, the 3 backpacks have the same weight.

Step-by-step explanation:

Given that An's backpack weighs as much as Lin's backpack, and Clare's backpack weighs as much as Lin's backpack, to determine whose backpack weighs the most and whose backpack weighs the least the following mathematical reasoning must be considered:

A = L

C = L

Therefore, A = C.

Since all 3 backpacks are equal in weight, there is none that is heavier or lighter than the others. That is, the 3 backpacks have the same weight.

Answer:

Step-by-step explanation:

3/6 > 3/8

Answer:

a) 0.59871

b) 0.22663

e) 0.95994

Step-by-step explanation:

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 65 inches

σ is the population standard deviation = 4 inches

a). Taller than 64 inches

This means x > 64

Hence,

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x<64) = 0.40129

P(x>64) = 1 - P(x<64) = 0.59871

b.) shorter than 62 inches

Hence,

62 - 65/4

=- 3/4 =- 0.75

P-value from Z-Table:

P(x<62) = 0.22663

c.) between 64 inches and 68 inches

Hence,

for 64 inches

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x = 64) = 0.40129

For 68 inches

Hence,

68 - 65/4

= 3/4= 0.75

P-value from Z-Table:

P(x = 68) = 0.77337

d.) between 58 and 68 inches

e.) taller than 58 inches

Hence,

58 - 65/4

= -6/4 = -1.5

P-value from Z-Table:

P(x<58) = 0.040059

P(x>58) = 1 - P(x<58) = 0.95994

Answer:

area = 289.24 units²

Step-by-step explanation:

divide the polygon into 9 equal triangles

the top angle of a triangle will be 360°/9 = 40°

the sides of a triangles are both 10 units

The base of a triangle is 6.84 units

the height of a triangle is:

cos 20° = height/10

0.9397 = height/10

height = 9.4 units

The area of a triangle = 1/2(6.84)(9.4) = 32.13 units²

the polygon is made from 9 of these triangles, so 9 x 32.13 = 289.24 units²