In triangle XYZ, angle Y is right and sin X= 5/13. Which of the following trig. ratios are correct?

Step-by-step explanation:

I don't see any answer choices, so I tell you the actual result and must pick the fitting answer option.

3x(6x² - 3x + 7) = 18x³ - 9x² + 21x

This suggests that the equilateral triangle's sides' measurements remain unaltered.

A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid.

Sides = 5 inches

Given

Sides = 5 inches

Translation = 3 units (down) and 2 units (right)

Required

Determine the length of one side after translation

It should be emphasized that just the position of a shape, line, or object changes when it is translated by moving its position, not its length.

This suggests that the equilateral triangle's sides' measurements remain unaltered.

Hence:

Sides = 5 inches

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[tex]\sqrt{2}[/tex] units

The line segment formed by  joining (-3, 4) and (-2, 3) , the distance of line segment is  [tex]\sqrt{2}[/tex] units

                      D = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

Given two points , (-3 , 4) and (-2 , 3)

to find the distance formula is ,

         distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

   by substituting the values,

            d = [tex]\sqrt{(-2 - (-3)^{2} + (3 - 4)^{2} }[/tex]

            d = [tex]\sqrt{(-2 + 3)^{2} + (-1)^{2} }[/tex]

            d = [tex]\sqrt{1^{2} + (-1)^{2} }[/tex]

            d = [tex]\sqrt{2}[/tex] units.

So the distance of line segment formed by joining (-3, 4) and (-2, 3) is

[tex]\sqrt{2}[/tex] units.

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Lori will make more than Darryl, then the after 10 years Lori will have make $27.00 more in their account.

Darryl deposits into a savings = $1,500

Account that has a simple interest rate = 2.7%.

Lori deposits into a savings = $1,400

Account that has a simple interest rate = 3.8%.

Let us assume,

[tex]P_{1}[/tex] = $1,500

[tex]r_{1}[/tex] = 2.7%.

[tex]r_{1}[/tex] =  2.7/100

[tex]r_{1}[/tex] = 0.027

After 10 years = t = 10years

The formula to calculate simple interest is,

[tex]A_{1}[/tex] = [tex]P_{1} (1+r_{1} t)[/tex]           (Equation-1)

[tex]P_{1}[/tex] = Principal amount

[tex]r_{1}[/tex] = rate of interest ( in decimal )

t = time

First we calculate Darryl's deposit,

So we can substitute values in the equation-1,

[tex]A_{1}[/tex] = 1,500(1 + 0.027×10)

[tex]A_{1}[/tex] = 1,500 ( 1+0.27 )

[tex]A_{1}[/tex] = 1,500 × 1.27

[tex]A_{1}[/tex] = $1905

Now we will calculate Lori's deposit,

[tex]A_{2}[/tex] = [tex]P_{2} (1+r_{2} t)[/tex]                (Equation-2)

[tex]P_{2}[/tex] = $1,400

[tex]r_{2}[/tex] = 3.8%.

[tex]r_{2}[/tex] =  3.8/100

[tex]r_{2}[/tex] = 0.038

So we can substitute values in the equation-2,

[tex]A_{2}[/tex] = 1,400 ( 1 + 0.038 × 10 )

[tex]A_{2}[/tex] = 1,400 ( 1 + 0.38 )

[tex]A_{2}[/tex] = 1,400 × 1.38

[tex]A_{2}[/tex] = $1,932

Darryl will make money after 10 years = $1905

Lori will make money after 10 years = $1,932

Hence,

Lori will make more than Darryl,

Then the difference will be = 1,932 - 1,905 = $27

Therefore,

After 10 years Lori will have make $27.00 more in their account.

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Answer:

Domain: [-4, 5]
Range: [-3, 3]

Step-by-step explanation:

Domain is the set of all permissible x values ie the values of x for which the function is defined.

Range is the set of all values of the function ie f(x) or y in tis graph for the domain

Looking at the graph we can see that the smallest value for x is -4 and the largest value is +5
Domain is [-4, 5]

For these values, y ranges from smallest of -3 to largest of + 3
So Range is [-3, 3]

Answer:

0.000752739974

by the way  i used a calculator

       I hope this helps :)

The mean, median, and mode, of the given data set, are 5.25, 5.5, and 7.

So, the data set from ascending to descending form:

Mean: Sum of terms/ number of terms

The mean is 5.25.

Median: (Even terms) Average of 2 middle terms:

The Median is 5.5.

Mode: The most repetitive term

The mode is 7.

Therefore, the mean, median, and mode, of the given data set are 5.25, 5.5, and 7.

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After conducting some mathematical operations, we know that Brent earned $28.75.

So, the amount Brent will earn when there are 7 children:

Brent earns $7.25 per hour and he watched kids from 9:00 am to noon which is 3 hours.

He earns $1 per child and there are 7 children present, then:

Total amount he earned: $21.75 + $7 = $28.75

Therefore, after conducting some mathematical operations, we know that Brent earned $28.75.

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The correct question is given below;
ON SATURDAY MORNINGS FROM 9:00 UNTIL NOON, BRENT WATCHES A GROUP OF PRESCHOOLERS WHILE THEIR PARENTS WORK OUT IN THE GYM. BRENT EARNS $7.25 PER HOUR PLUS $1.00 PER CHILD. TODAY THERE ARE 7 CHILDREN…HOW MUCH WILL BRENT EARN?

[tex]r =\frac{3t}{(t-1)}[/tex]  is the r subject of the formula  t=r/r-3

How is r made the subject of t=r/r-3?

[tex]t =\frac{r}{r-3} \\\\t(r-3) =r\\\\tr - 3t = r\\\\tr- r = 3t\\\\r(t-1)=3t\\\\r = \frac{3t}{(t-1)}[/tex]

What does making r the subject mean?

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The value ∠L, ∠M and ∠N is 59°, 105° and 16° respectively.

∠L = (4x - 5)°, ∠M = (7x-7)° and ∠N = x°

The summation of all three angles of a triangle is equal to 180°

∠L+ ∠M + ∠N = 180°

4x - 5 + 7x -7 + x = 180

12x - 12 = 180

12x = 192

x = 192/12

x = 16

∠L = 4x - 5

= 4(16) - 5

= 64 - 5

= 59°

∠M = 7x - 7

= 7(16) - 7

= 112 - 7

= 105°

∠N = x = 16°

Therefore the value ∠L, ∠M and ∠N is 59°, 105° and 16° respectively.

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Convert all numbers to decimals

since there are no negative numbers use the first decimal place to order them.

0.19 0.36 0.6-3/5 0.78

Answer:

(3x - 1)(x + 2).

Step-by-step explanation:

3x^2 + 5x - 2

= 3x^2 + 6x - x - 2

= 3x(x + 2) - 1(x + 2)

= (3x - 1)(x + 2).

Answer:

acute

Step-by-step explanation:

Answer:

acute angle

Step-by-step explanation:

89 degrees - = acute angle

90 = right angle

91+= obtuce

180= straight angle

The given two equations represent that 6x-15y=15  is equal to y=2/5x-1 And they have the same slope 2/5.

Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.

All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.

We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1

Let solve for y = 2/5x-1

in  6x - 15y = 15

⇒ 6x - 15(2/5x-1) = 15

⇒ 6x - 6x  + 15 = 15

⇒ 15 = 15

⇒ This mans they have slope

⇒ 6x - 15y = 15 in y-intercept form

⇒ 15y = 6x - 15

⇒ 15y = 6x - 15

⇒ y = (6x - 15)15

⇒ y = 2/5x - 1

Thus, 6x-15y=15  is equal to y=2/5x-1 And they have the same slope 2/5.

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At first let us draw a sketch to show the position of the given angle

================================================

Work Shown:

x = original price of the calculator

x+6.20 = original price of calculator and binder

0.85(x+6.20) = price after discount, see note below

0.85(x+6.20) = 107.27

Solving for x.

0.85(x+6.20) = 107.27

0.85x+0.85*6.20 = 107.27

0.85x+5.27 = 107.27

0.85x = 107.27-5.27

0.85x = 102

x = 102/0.85

x = 120 dollars is the original price of the calculator

--------------

Checking the answer:

Before the discount, Justin would pay 120+6.20 = 126.20 dollars for the calculator and binder. He saves 15%, which means he saves 0.15*126.20 = 18.93 dollars and the final price would be 126.20-18.93 = 107.27 which matches up with the value in the instructions.

Or a shortcut would be 0.85*126.20 = 107.27 and that confirms the answer as well.

--------------

note: If Justin saves 15% then he pays the remaining 85% (since 15+85 = 100). So that's why there's a 0.85

Answer:

Original price of the calculator = $120

Step-by-step explanation:

Given:

If the original price of the binder was reduced by 15%, then the sale price is 85% of the original price (since 100% - 15% = 85%).

[tex]\begin{aligned}\implies \textsf{Sale price of the binder}& = \sf 85\% \;of\; \$6.20\\&= \sf 0.85 \times \$6.20\\&= \sf \$5.27\end{aligned}[/tex]

If Justin spent a total of $107.27:

[tex]\begin{aligned}\implies \textsf{Sale price of the calculator}&= \sf Total\;spent-Sale\;price\;of\;the\;binder\\ & = \sf \$107.27 - \$5.27 \\ & = \sf \$102.00\end{aligned}[/tex]

Remembering that the sale price of the calculator is 85% of its original price:

[tex]\begin{aligned}\implies \sf 85\% \; \textsf{of original price}&=\sf \$102.00\\\sf 0.85 \times original \; price &=\$102.00\\\sf Original \; price & = \sf \$102.00 \div 0.85\\\sf Original \; price &= \sf \$120.00\end{aligned}[/tex]

Therefore, the original price of the calculator was $120.

Answer:

Step-by-step explanation:

A: 1/6

B: 1/2

The triangle in the right side of the first row, the triangle in the left side of the second row and the triangle in the left side of the third row are labeled correctly.

Triangles can be defined in terms of their base and their height. Both are linear measures. The base is one side of the triangle and the height is a line perpendicular to the base that meets the vertex opposite to the base.

Based on this explanation we find that the triangle on the right of the first row, the triangle on the left of the second row and the triangle on the left of the third row are labelled correctly.

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The total cost of the birdfeeder which poni wants to buy including the sales tax is $21.54.

Given poni wants to purchase a birdfeeder that costs $19.95.

sales tax rate in her city is = 8.12%

total cost of the birdfeeder = ?

The pre-tax price of an item must first be multiplied by the sales tax percentage once it has been converted into a decimal form in order to determine the amount of sales tax that will apply to the purchase. To get the item's final cost, the sales tax must first be computed, and then it must be added to the pre-tax price.

sales tax rate = 8.12% = 0.0812

Round it off to two decimal places.

= 0.08

Now, in order to determine the cost of the sales tax, we must multiply the item's pre-tax price by this amount.

sales tax = 0.08×$19.95

sales tax = $1.596

Since our total is in dollars and cents, round to two decimal places.

sales tax = $1.59

now total cost = pre tax value+sales tax.

= $19.95+1.59

=$21.54

Hence the total cost of the birdfeeder is $21.54.

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Answer:

908x64=58112

hope it helps you

Answer:

58112

Step-by-step explanation:

Solution

908×64=58112

hence required answer is 58112.

The number of birds in different regions is a discrete variable.

Discrete data can only have certain values. There may be an endless number of those values, but each one is distinct, with no grey space in between. Discrete data can be numerical, such as the number of apples, or categorical, such as red or blue, male or female, or good or bad.

The discrete variable is the number of birds.

This variable is not continuous in this case because we count the number of birds rather than measure them.

The continuous variables are measured rather than counted. For example, weight, height, and so on.

As a result, the quantity of birds in various places is a discrete variable.

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Answer: 7 full layers

Step-by-step explanation: well 2 can be changed to 6/3, and 6/3 divided by 1/3 is 6 layers from two pounds. Then the tricky part is the 3/5, but you can make a common denominator, aka to make a layer is 5/15, and the amount ou have (besides the two pounds) is 9/15. 9/15 is enough for one more 5/15, making an extra layer, aka 7 full layers.

For given graph of function, the x-intercepts are:

x = 0 and x = 4

In this question, we have been given a graph of a function.

We need to find the x-intercept for given graph.

We know that, the points at which the graph of function intersects the X-axis are known as x-intercepts.

We can observe that the graph intersects X-axis at points (0, 0) and (4, 0)

Therefore, for given graph of function, the x-intercepts are:

x = 0 and x = 4

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Circle

center (4 , 3)

radius = 5

equation of the circle = ?

Step 02:

equation of the circle

(x - h)² + (y - k)² = r ²

(h , k) ===> center

r ===> radius

(x - 4)² + (y - 3)² = 5²

(x - 4)² + (y - 3)² = 25

The answer is :

(x - 4)² + (y - 3)² = 5²

Answer: 44

Step-by-step explanation:

(√99 - √11)²

simplify the expression

(3√11 - √11)^2

collect like terms

(2√11)^2

use the properties of exponents

4 x 11

answer: 44

Answer:

It can eat 60 mosquitos in 1 minute.

Step-by-step explanation:

[tex]2400[/tex] ÷ [tex]40[/tex] [tex]= 60[/tex]

Let the number to be added = x

so the equation will be

-9.46+x=7.489

x=7.489+9.46

as the sign changes on the other side of the equals sign

x=16.949

To check: -9.46+16.949

                =7.486

So the number to be added is 16.949

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Answer:

It should be the dot in between 3.8 and 3.9.

Step-by-step explanation:

Well, the square root of 15 is approximately 3.87. So, find the dot where you think 3.87 is. It should be the dot in between 3.8 and 3.9.