Use the diagram to answer the question. Triangle R S T. Segment R S measures 10 units Segment R T measures 8 units. Angle T is a right angle. What is the measure of ∠R? Enter the correct value rounded to one decimal place, if necessary, like this: 42.5

Answer:

48 degrees for A and 7 12 degrees for B

Step-by-step explanation:

As you can see in the first picture, C and x share the same angle and the angle is 48 degrees. On the second picture the answer is 12 because 3*4=12.

Answer:

1410

Step by step explanation:

2/5x=564

5/2*2/5x=564*5/2

x=1410

Proof: 2/5*1410=564

Hope it helps <3

Answer:

1410

Step-by-step explanation:

Answer:

( x + 3)( x + 4) = 5  

Step-by-step explanation:

A quadratic equation is an equation with the highest power of the variable to the power of 2

( x + 3)( x + 4) = 5  

The highest power is  x^2 +3x+4x+12 =5   is x^2

Quadratic

5(4 x + 2) = 3

20x  + 10 =3

linear

x( x∧2 + 1) = 0

x^3 +x =0

Cubic

Answer:

[tex]( x + 3)( x + 4) = 5[/tex]

Step-by-step explanation:

First of all: What is a quadratic equation?

A quadratic equation is a second-degree polynomial. It means that the highest exponent must be 2.

[tex]( x + 3)( x + 4) = 5[/tex]

Using FOIL

[tex]x^2+4x+3x+12=5[/tex]

[tex]x^2+7x+7=0[/tex]

We got the answer. But just expanding the other equations given:

[tex]5(4 x + 2) = 3[/tex]

[tex]20x+10=3[/tex]

[tex]20x+7=0[/tex]

This one is a linear equation

In this case, actually there's a typo mistake, but it still understandable.

The symbol used is the logical symbol meaning AND (∧)

Of course, you meant [tex]x^2[/tex]

[tex]x(x^2+1)=0[/tex]

[tex]x^3+x=0[/tex]

This one is a cubic equation or third-degree polynomial

Answer:

1). x = 10 m

2). x = 15 cm

3). x = 5 yd

4). AB = 10 units

Step-by-step explanation:

1). By Pythagoras theorem in the given triangle,

 a² + b² = c²

 Where 'c' = Hypotenuse

 a and b = Legs of the right triangle

 By substituting measures of the sides in the formula,

 x² = 8² + 6²

 x = [tex]\sqrt{100}[/tex]

 x = 10 m

2). By using Pythagoras theorem in this triangle,

  x² = 9² + (12)²

  x² = 81 + 144

  x = [tex]\sqrt{225}[/tex]

  x = 15 cm

3). By Pythagoras theorem,

  (13)² = x² + (12)²  

  169 = x² + 144

  169 - 144 = x²

  25 = x²

  x = 5 yd

4). If BD is a perpendicular bisector of AC,

  AD = CD = 6 cm

  By Pythagoras theorem in ΔABD,

  AB² = BD² + AD²

  AB² = 8² + 6²

  AB = [tex]\sqrt{100}[/tex]

  AB = 10 units

Answer:

sequence is arithmetic

Step-by-step explanation:

A geometric sequence has a common ratio r between consecutive terms.

An arithmetic sequence has a common difference d between consecutive terms, thus

11 ÷ 14 ≠ 8 ÷ 11 ≠ 5 ≠ 8 ← not geometric

11 - 14 = - 3

8 - 11 = - 3

5 - 8 = - 3

There is a common difference d between consecutive terms

Thus sequence is arithmetic.

Answer:

Step-by-step explanation:

This is an arithmetic sequence.

First term = a = 14

Second term = 11

Common difference = second term -  first term

                                 = 11 - 14

                                =  - 4

Each term is got by adding (-4) to the previous term

Third term = 11 + (-4) = 11 -4 = 8

Answer:

Step-by-step explanation:

a. The length of the diagonal is approximately 15.74 feet.

b. The length of the shorter base is approximately 27.77 feet.

a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:

h = (7/2) * tan(140°)

h ≈ (7/2) * (-1.376381920471173)

h ≈ -4.796335681196056

Now, substitute the values into the formula for the diagonal:

[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]

Therefore, the length of the diagonal is approximately 15.74 feet.

b. To find the length of the shorter base (b), we can use the given information and the law of cosines:

[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]

Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).

To know more about length, refer here:

https://brainly.com/question/30177995

#SPJ2

Answer:

mark my answer as the brainliest

Step-by-step explanation:

x = 53/4

Answer:

4×+1-9 (2^)+2)=0

4×+1-9 (4+2)=0

4×+1(-36-18)=0

4×+1 (-54)=0

4×-54=0

4×=54

×=54÷4

×=13.5

Answer:

D. 0.75x + 0.8(x + 10) = 101

Step-by-step explanation:

Answer:

0.75x + 0.8(x + 10) = 101

Step-by-step explanation:

They both made 101 shots.

Jared attempted 60 shots.

Zach attempted 70 shots.

Answer:

Her final answer should have been x = 1/2.

Step-by-step explanation:

Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.

Correct solution:

8(x-3)+7=2x(4-17)

8x-24+7=8x-34x

-17=-34x

The negatives on both sides cancel each other out

x = 1/2

Answer:

x=1/2

Step-by-step explanation:

8(x-3)+7=2x(4-17)

8(x-3)+7=2x(-13)

This is where Lin's first mistake appears, 4-17 is -13, not positive 13.

Next, Lin distributes.

8x-24+7=26x

This is right with Lin's equation, since Lin got 13 instead of -13.

However, if we were doing it correctly from the start, it should be:

8x-24+7=-26x

Okay, after 8x-24+7=26x Lin simplifies again to:

8x-17=26x

She then tries to eliminate 8x.

What she does wrong here, is that she subtracts 8x from the left, and adds 8x to the right.

This makes it so that the equation is not equal anymore, because what you do to one side, you must do to the other.

This is Lin's second mistake.

What she should have gotten is

-17=18x.

Okay, now that we have found her mistakes, let's solve this correctly.

8(x-3)+7=2x(4-17)

8(x-3)+7=2x(-13)

Distribute.

8x-24+7=-26x

8x-17=-26x

Add 17 to both sides.

8x=-26x+17

Add 26x to both sides.

34x=17

x=1/2

Her answer should have been 1/2.

Answer:

Purple line: 4

Red dashed line: 2

Blue line: 1/2

Step-by-step explanation:

The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).

Think of it this way:

[tex]y = ax+b \\[/tex]

here [tex]b = 0[/tex] so [tex]y = ax[/tex]

The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.

Take for example this one:

[tex]y = 2x \\[/tex]

Take [tex]x=2\\[/tex] therefore [tex]y =4[/tex]

Now take [tex]y = 4x[/tex] and take [tex]x =2[/tex] therefore [tex]y = 8[/tex]

When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.

Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.

Answer: A. t - 2d = -240 t - d = 320

Step-by-step explanation:

Let t be the price of a lawn mower at Turf Cutters and d be the price of the  same lawn mower at Lawn Masters.

As per given , we have

The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters.

[tex]2d-240=t\\\\\Rightarrow\ t-2d=-240 ...(i)[/tex]

The difference in price between the mower at Turf Cutters and Lawn Masters is $320.

[tex]t-d=320 ...(ii)[/tex]

So, the system of equations can be used to determine the price of the mower at each store is

[tex]t-2d=-240\\\\t-d=320[/tex]

Hence, the correct option is "A."

Answer:

FG H(2) = F*G*H(2) = 0

Step-by-step explanation:

Your  F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it.  I believe you meant:

F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)

First find F(2):  f(2) = 2(2) - 4 = 0

Because this multiplicand is zero, further multiplication will result in zero also.  Thus, the final answer is zero (0).

Answer:

A) 90 degrees

B) 110 degrees

C) 78.5 in. sq.

D) 15.3 in. sq.

Step-by-step explanation:

A) 90 degrees by the two-tangent theorem

B) 360-90-90-70=110

C) A=pi r-squared

A=3.14x5x5

A=78.5

D) 70/360=0.1944

78.5x0.1944=15.3

Answer:

16

Step-by-step explanation:

its a cube, so all the sides are 16.

hope you pass surface area it has ALOT of formulas ( :

Answer:

15

Step-by-step explanation:

the yellow side without the small one is 16 but since the face of the small one is 1 we must subtract it

We can solve the inequality 2x + 3 > -9 by first subtracting 3, then dividing by 2:

2x > -12

x > -6

This graph should have an open circle at negative 6 (this is a strict inequality, so x cannot equal -6), with everything to the right shaded (since x is greater than -6).

Answer:

C

Step-by-step explanation:

Did test on edge

Answer:

x=7

Step-by-step explanation:

To solve for x, we need to isolate it by itself. We can do that by getting rid of the 7. Since the 7 is being multiplied with the x, we need to divide by 7 to cancel it out. When doing something to one side of the equation, we must always to the same to the other.

Divide both sides by 7

x=7

Answer:

x = 7

Step-by-step explanation:

All you have to do to solve this question is divide 7 on both sides so,

7x / 7 = 49 / 7

7x / 7 = 1 or x

49 / 7 = 7

So your answer will be,

x = 7

Hope this helps!!

Answer:

The nearest whole number you need to round to is: $3,094.00

Step-by-step explanation:

If Ava deposited the $400.00, which is four-hundred dollars and zero cents each month for here monthly deposits each month, then she would have to have 3.35% compound which is three point thirty-five percent compound price times the number of her monthly deposit of four-hundred dollars and zero cents which is $400.00 she would get the result that $3,094.00 which is three-thousand, ninety-four dollars and zero cents, which is the answer because if you round it with $1,250.00 which is one-thousand, two-hundred and fifty dollars and zero cents then it doesn't work out. So in the end, it would be: $3,094.00!

Answer:

A. No Solution

Step-by-step explanation:

To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution

Answer:

A. No solution

Step-by-step explanation:

-7x - 10 - 15x = -22x + 83

-22x - 10 = -22x + 83

0 = 93

Zero doesn't equal to 93, so there are no solutions.

Answer:

$810 total raised

Step-by-step explanation:

Charley:

12 * $18 = $216

Maria:

15 * $18 = $270

Paul:

18 * $18 = $324

Total:

$324 + $270 + $216 = $810

Answer:

pls appreciate my efforts by markinf my answer as the brainliest......

Step-by-step explanation:

Charley raised = 12 *18 =$216

Maria raised =15*18 = $270

Paul raised = 18*18 = $ 324

total amount raised = $ 810

Answer:

angle A= 59.997

Step-by-step explanation:

SinA=13/15

sinA=0.866

A=inverse sin (0.866)

A=59.997

Answer:

243 ways

Step-by-step explanation:

Fruits = 5

Bowls = 3

Remember that, There are three bowls for five fruits. So the possible outcomes are:

=> [tex]3^5 = 3*3*3*3*3 = 243[/tex] ways

Answer:

[tex]a_{n}[/tex] = 10.5 - 3n

Step-by-step explanation:

The explicit rule for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A recursive formula has the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d ( where d is the common difference )

Given

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 ⇒ d = - 3

Thus explicit rule with a₁ = 7.5 and d = - 3

[tex]a_{n}[/tex] = 7.5 - 3(n - 1) = 7.5 - 3n + 3 = 10.5 - 3n

Answer: Choice A

Step-by-step explanation:

She can only buy 3 pizzas. 14 times 3 is 42. 42 plus 7.50 is 49.50. Another 14 dollars would be over. So 24 SLICES she can afford.

Here, we are required to identify the inequality that describes Jacque's pizza purchase scenario and also the largest number of slices that Jacque can afford

Choice 1 which is ;

Choice 1 which is ;7.50 + 14 P < 60Jacque can afford to buy 30slices of pizza

First,

The inequality which describes the scenario is :

Choice 1 which is ;

And to determine the largest number of slices that Jacque can afford, we have to solve for P first.

However, the question requires that we determine how many slices she can afford to buy,

Jacque can afford to buy 3.75 × 8 slices of pizza.

Jacque can afford to buy 30slices of pizza

Read more:

https://brainly.com/question/19003099

Answer:

Step-by-step explanation:

A region is said to be closed if it is completely

enclosed by its constraints

A region is said to be a closed area if it is completely enclosed by its constraints.

The space occupied by any two-dimensional figure in a plane is called the area. For example, the space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle is given by the formula below:-

Area = πr²

Where r is the radius of the circle.

Therefore, the region is said to be a closed area if it is completely enclosed by its constraints.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ2

Answer:

segment a double prime b double prime = segment ab over 2

Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. which equation explains the relationship between segment ab and segment a double prime b double prime?

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment a double prime b double prime = segment ab over 2

segment ab = segment a double prime b double prime over 2

segment ab over segment a double prime b double prime = one half

segment a double prime b double prime over segment ab = 2

Answer:  If triangle ABC at A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using   (x + 2, y + 0), then the new coordinates of triangle ABC would be at A'(- 3 + 2,  3), B'(1 + 2, - 3), and C'(- 3 + 2, -3) Which is A'(- 1,  3), B'(3, - 3), and C'(- 1, -3). The dilation by a scale factor of from the origin gives A″ (-1/2, 3/2), B″ (3/2, -3/2) and C″(-1/2, -3/2) = (-0.5, 1.5), B″ (1.5, -1.5) and C″(-0.5, -1.5)

The distance AB and A"B" are given as:

[tex]AB=\sqrt{(1-(-3))^2+(-3-3)^2} =\sqrt{5 2} \\\\A"B"=\sqrt{(1.5-(-0.5))^2+(-1.5-1.5)^2} =\sqrt{13}[/tex]

AB = √52 = √(4×52) = 2√13 = 2A"B"

A"B" = AB/2

Answer:

What The Other Guy Said Was Correct

Step-by-step explanation:

2 + 2 = 4

Answer:

E. 4 shifts

Step-by-step explanation:

L.C.M. of 18 and 24

18=2×3×3

24=2×2×2×3

L.C.M.=2×2×2×3×3=72

so after 72 hours time will be same

or 72/18=4 shifts

Answer:

2x-4

Step-by-step explanation:

you can't really explain this, is just have the meaning 4 less twice a number.

I wish this is the correct one and will help you!

Answer:

2x-4

Step-by-step explanation:

Answer: D is correct if it is really (5.5-3.25)w=35.25

(Without parenthesis it doesn't work)

Answer:

B) 5.5 w - 3.25 = 35.25

Step-by-step explanation:

Chad charges $5.50 per window. ( 5.50w )

Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)

The customer would be charged $35.25 at the end. ( = 35.25 )

So, the total of the cost of the windows minus the discount would be $35.25.

5.50w - 3.25 = 35.25

Option B's equation would be most appropriate to solve for w.

Answer:

| a - b | < length of third side < a + b

Step-by-step explanation:

Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below [tex]180^o[/tex] (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:

length of third side < a + b

In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:

length third side > | a - b|

These are the two extreme cases, and the length of the third side must be within these limits.

Answer:

7<x<37

Step-by-step explanation:

Here is the formula to solve range questions:

22-15<x<22+15

Answer:

Step-by-step explanation: I tried to work it out well.

I Hope it helps:)

[tex]3x + 9 < 4(x-5) -x + 3 + 2x\\\mathrm{Group\:like\:terms}\\3x+9<-x+2x+4\left(x-5\right)+3\\\mathrm{Add\:similar\:elements:}\:-x+2x=x\\3x+9<x+4\left(x-5\right)+3\\Expand ; x+4\left(x-5\right)+3\\=x+4x-20+3\\=5x-17\\3x+9<5x-17\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\3x+9-9<5x-17-9\\Simplify\\3x<5x-26\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\3x-5x<5x-26-5x\mathrm{Simplify}\\-2x<-26\\[/tex]

[tex]Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\\left(-2x\right)\left(-1\right)>\left(-26\right)\left(-1\right)\\Simplify\\2x>26\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}>\frac{26}{2}\\\\x>13[/tex]