B
13 ft.
5 ft.
A
C
12 ft.
Find the value of Cos (B) =

Answer:

y = 75.5

Step-by-step explanation:

Reference angle (θ) = 49°

Hypotenuse = 100

Opposite = y

Apply trigonometric function, SOH. Which is:

Sin θ = Opp/Hyp

Plug in the values

Sin 49 = y/100

100*Sin 49 = y

y = 75.5 (nearest tenth)

Answer:

Step-by-step explanation:

The equation in slope-intercept form:  y = mx + b

y + 2 = -2(x - 5)

y + 2 = -2x + 10              {subtract 2 from both sides

y = -2x + 8

Answer:

Step-by-step explanation:

If J can paint a room in 3 hours, in 1 hour she gets [tex]\frac{1}{3}[/tex] of the job done.

If A can paint a room in 4 hours, in 1 hour she gets [tex]\frac{1}{4}[/tex] of the job done. We need to find out how long it takes them if they paint together. The equation for this is:

[tex]\frac{1}{3}+\frac{1}{4}=\frac{1}{x}[/tex] where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get

4x + 3x = 12 so

7x = 12 and

x = 1.7 hours to get the room painted together.

Answer:

A = 16 ft^2

P = 20 ft

Step-by-step explanation:

P = perimeter

A = area

STEP 1: divide the shape into rectangles

Rectangle 1: 2ft*3ft

Rectangle 2: 2ft*5ft

STEP 2: Find the area of each rectangle

Equation for area of a rectangle = bh

Rectangle 1: b = 2, h = 3

Rectangle 2: b = 2, h = 5

(2 * 3) + (2 * 5)

6 + 10

16 ft^2

Now, we have to find the perimeter

STEP 1:  Find the unknown side lengths.

To find the lengths of the sides not labeled, you have to use the lengths of the sides we already know.

The length of one parallel side is 5, and the length of another parallel side is 2. The length of the unknown side starts at the same place as the top of the side length that is 5, and ends at the top of the side length that is 2. This means that we have to subtract 2 from 5 in order to find the unknown side length.

STEP 2: Add up all the side lengths

P = 2 + 5 + 5 + 2 + 3 + 3

P = 20 ft

Don't forget to label your answers!!

I hope this made sense, it's is a little hard to explain in simple terms without being able to draw, but I hope it helped.

Answer:

31

Step-by-step explanation:

Let the smallest integer be x.

Since the 4 integers are consecutive (they come right after the other),

2nd integer= x +1

3rd integer= x +1 +1= x +2

4th integer= x +2 +1= x +3

Sum of the integers= 122

x +x +1 +x +2 +x +3= 122

4x +6= 122

4x= 122 -6

4x= 116

x= 116 ÷4

x= 29

3rd number

= 29 +2

= 31

Answer:

angles A and C are congruent

Answer:

Step-by-step explanation:

Here,

<6 + 125° = 180° [Co-interior angles]

=> <6 = 180 - 125

=> <6 = 55° (Ans)

Full question:

Astudy of 31,000 hospital admissions in New York State found that 4% of the admissions

led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in

death, and one-fourth were caused by negligence. Malpractice claims were filed in one out

of 7.5 cases involving negligence, and payments were made in one out of every two claims

What is the probability a person admitted to the hospital is paid a malpractice claim (to decimals)

Answer:

Explanation:

Since 4% of admissions lead to treatment-caused injuries, we have 4/100×31000= 1240 treatment caused injuries for every 31000 people admitted

1/7 resulted in death = 1/7×1240= 177 people die for every 1240 treatment caused injuries

1/4 from negligence= 1/4×1240= 310 people get treatment caused injuries from negligence for every 1240 people

Malpractice claims in one of out of 7.5 cases of negligence= 13.3% of negligence cases= 0.1333×310= 41 claims for every 1240 people with treatment caused injuries

Payments were made in one out of every two claims, therefore payments for claims =50% of 41 cases of negligence= 21 payments(approximately) for every 1240 people with treatment caused injuries

Probability= number of favorable outcomes /total number of outcomes

Probability that a person admitted into the hospital will be paid a claim= 21/31000= 0.000677

9514 1404 393

Answer:

  66 m

Step-by-step explanation:

The perimeter is the sum of the measures of all of the sides. There are two side measures that are missing from the diagram.

The missing horizontal measure is ...

  17 m - 8 m = 9 m

The missing vertical measure is ...

  16m -7 m = 9 m.

If you add these to the sum you already calculated, you will get the correct answer:

  48 m + 9 m + 9 m = 66 m . . . perimeter of the figure

_____

If you're paying attention, you see that the sum of the measures of the two shorter horizontal segments is the same as the measure of the longer horizontal segment. Likewise, the sum of the measurements of the two shorter vertical segments is the same as that of the longer vertical segment.

In other words, the perimeter of this (and any) L-shaped figure is the same as the perimeter of a rectangle having the same horizontal and vertical dimensions as the long sides of the figure.

  P = 2(17 m +16 m) = 2(33 m) = 66 m

Answer:

Step-by-step explanation:

There are only 2 angle values  that <1 to <8 can be. The two values add up to 180

In this case <6 and <7 are equal.

<6 = 4x - 15

<7 = x + 30

4x - 15 = x + 30             Subtract x from both sides

4x-x - 15 = 30                Add 15 to both sides

3x = 30 + 15

3x = 45                         Divide by 3

x = 45 / 3                          

x = 15

<6 = 4x - 15

<6 = 4*15 - 15

<6 = 60 - 15

<6 = 45

Answer:

0.001

Step-by-step explanation:

(0.0001)^-3/4=((0.1)⁴)^-3/4

(0.1)^4×-3/4

0.1^‐3

0.001

Answer:

1 hour

Step-by-step explanation:

J = 50 mph by 2 hours

S = 50 mph by 1 hour

2-1 = 1

Answer:

144 people

Step-by-step explanation:

88% = 0.88

We multiply the total number with 0.88 to see how many people went in the water:

1200(0.88) = 1056

To find the number of those who did NOT go in the water, we subtract the product from the total number:

1200 - 1056 = 144

Answer:

144 people DID NOT go in the water

Step-by-step explanation:

We know that there at 1,200 ppl at the beach and 88% of them DID go into the water.

So the percent of people that DID NOT go into the water is 12%, because

100% - 88% = 12%

12% is the same as 0.12

Multiply 0.12 and 1,200 and you get: 144

Hope it helps (●'◡'●)

Answer:

£48

Step-by-step explanation:

£72 / 3 = £24

£24 x 2 = £48

Hope this helps c:

Answer:

a)17.92

b) 16.83 .... 21.17

Step-by-step explanation:

ρ→   z

0.14 = -1.080319341

-1.080 = (x - 19)/1 = 17.92

~~~~~~~~~~~~~~~~~~

3% / 2 = 1.5%

1.5% - 98.5%

ρ→   z

0.015 = -2.170090378 ....  -2.17 = (x-19) =16.83

0.985 = 2.170090378  ....   2.17 = (x-19) =21.17

Answer:

$40,000

Step-by-step explanation:

this the workings above

9514 1404 393

Answer:

  maybe

Step-by-step explanation:

It can be. It depends on the problem.

__

The rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

Clearly, for division problems if the denominator exponent is larger, the difference 'b-c' will be negative.

__

You recall that an exponent is the way we show repeated multiplication.

 x·x·x = x³

In division, like factors cancel, so ...

  [tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=\dfrac{x^3}{x^2}=\dfrac{x}{1}\cdot\dfrac{x\cdot x}{x\cdot x}=x^{3-2}=x^1=x[/tex]

Now, consider the same problem "upside down."

 [tex]\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{x^2}{x^3}=\dfrac{1}{x}\cdot\dfrac{x\cdot x}{x\cdot x}=x^{2-3}=x^{-1}=\dfrac{1}{x}[/tex]

Answer:

<LKJ = 115°

Step-by-step explanation:

<LKJ = <LKD + <DKJ

<LKJ = 60°+55°

<LKJ = 115°

Answered by GAUTHMATH

Answer:

[tex] \large{ \tt{✺ \: m \: \angle \: LKJ= m \: \angle} \: LKD \: + \: m \: \angle \: dKJ}[/tex]

[tex] \large{ \tt{⟶ \: m \: \angle \: LKJ= 60 \degree + 55 \degree}}[/tex]

[tex] \large{ \boxed{ \tt{⟶ \: m \: \angle \: LKJ = 115 \degree}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

C={ check example in book}

Answer:

x = 1/2; y = 1/3

Step-by-step explanation:

2x + 3y = 2     Eq. 1

-6x + 12y = 1     Eq. 2

Eq. 1

2x + 3y = 2

2x = -3y + 2

x = -3/2 y + 1

Eq. 2

-6x + 12y = 1

De Eq. 1 sabemos que x = -3/2 y + 1

-6x + 12y = 1

-6(-3/2 y + 1) + 12y = 1

9y - 6 + 12y = 1

21y - 6 = 1

21y = 7

y = 7/21

y = 1/3

Eq. 1

2x + 3y = 2

2x + 3(1/3) = 2

2x + 1 = 2

2x = 1

x = 1/2

Respuesta: x = 1/2; y = 1/3

Explanation:

Refer to the diagram below. There are n = 9 sides

S = 180(n-2)

S = 180(9-2)

S = 180(7)

S = 1260

This nonagon (9 sided polygon) has its interior angles add up to 1260 degrees.

Answer:

8x

Step-by-step explanation:

[tex](4x^{2} - 49y^{2} ) = (2x+7y)(2x-7y)[/tex]

Answer:

0.1587 = 15.87% probability that a person will wait for more than 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean waiting time is 6 minutes and the variance of the waiting time is 9.

This means that [tex]\mu = 6, \sigma = \sqrt{9} = 3[/tex]

Find the probability that a person will wait for more than 9 minutes.

This is 1 subtracted by the p-value of Z when X = 9. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{9 - 6}{3}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that a person will wait for more than 9 minutes.

Answer:

The center of the circle is found at h,k

These values represent the important values for graphing and analyzing a circle.

Center: 0,0

And also,

Algebra Graph x^2+y^2=25 x2 + y2 = 25 x 2 + y 2 = 25 This is the form of a circle.

And also,

Simple and best practice solution for X2+y2=25 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework. If it's not what You are looking for type in the equation solver your own equation and let us solve it.

And also,

Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x-offset from the origin, and k k represents the y-offset from origin. The center of the circle is found at (h,k) ( h, k).

And also,

Ox (0) 6°x= 1) 6x ** + y = 25 SOLUTION (a) Since f(x) = 25 - x2 0, we can interpret this integral as the area under the curve y = 25 - x2 from 0 to 5 . But since y2 = 25 - x2 , we get x2 + y2 = 25, which shows that the graph of fis a quarter-circle with radius 5 in the top figuer

And also,

(3x2y2)3 Final result : 32x2y2 Reformatting the input : Changes made to your input should not affect the solution: (1): "y2" was replaced by "y^2".

And thats all!

Solution graph is image 2.

We first graph [tex]x^2+y^2=25[/tex]. This is a circle with center = (0,0) and radius = [tex]\sqrt{25} =5[/tex].

For [tex]x^2+y^2<25[/tex], we'll shade inside the circle.

[tex]y^2=6x[/tex] is a parabola.

we make a table for it.

x   -1   0   1

y   -6  0   6

For [tex]y^2<6x[/tex] we'll shade inside the parabola.

So the graph will be image 1.

So the solution region is image 2.

Learn more: https://brainly.com/question/15816805

Answer:

1=83.08

Step-by-step explanation:

mean=summation of number divided by number

Answer:

The first one (90, 90) is supplimentary, the next two (54, 36. and 45, 45) are complimentary, and the last two are supplimentary.

Step-by-step explanation:

A complimentary angle is two angles that add up to 90, and supplimentary is two angles that add up to 180! :)

Answer:

1st picture at the top would be a supplementary angle because a supplementary angles always add to 180 degrees.

the 54 and 36 one is a complementary angle

the 45 and 45 would be complementary angle

the last two on the bottom would both be supplementary angles.

High hopes-

Barry

Answer: 13/7 or as a decimal 1.857142857

How did i get the answer:

Step 1: Simplify both sides of the equation.

so 1/2 of 10 is 5, 1/2 of 16 is 8

-3/5 of 15 is -9 and -3/5 of -35 is POSITIVE 21

all together should look like 5x+8+−13=−9x+21

(now we have to combine like terms)

8+ -13= -5

5x -5 = -9x+21

Step 2: Add 9x to both sides

5x + 9x= 14x

14x -5 = 21

Step 3: Add 5 to both sides.

21+5= 26

14x=26

Step 4: Divide both sides by 14.

26/14= 1.85714286 or 13/7

Answer:

x > -2

Step-by-step explanation:

the graph stops at x = -2 and doesn't move further down