a. Jamie has a ladder that is 15 ft long. She wants to lean the ladder against a vertical wall so that the top of the ladder is 14 ft above the ground.

Draw a picture of the ladder leaning against the wall and label the lengths listed in the problem:



b. Use Trigonometry to find the angle formed between the ground and the ladder using your diagram and values from part 1a. Round to the nearest whole number. Show your work:


c. For safety reasons, Jamie wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe the way she has it positioned?

we have been given an expression [tex]\frac{\frac{2}{3}}{-4}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]. We are asked to simplify our given expression.

Using quotient rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:

[tex]\frac{2}{3\cdot -4}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]

[tex]\frac{2}{-12}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]

Now, we will combine like terms:

[tex]\frac{2}{-12}-\left(\frac{1-8}{6}\right)[/tex]

[tex]\frac{2}{-12}-\left(\frac{-7}{6}\right)[/tex]

[tex]-\frac{2}{12}+\frac{7}{6}[/tex]

[tex]-\frac{1}{6}+\frac{7}{6}[/tex]

Let us combine like terms:

[tex]\frac{-1+7}{6}[/tex]

[tex]\frac{6}{6}=1[/tex]

Therefore, our expression simplifies to 1.

Answer:

1

Step-by-step explanation:

Brainliest please

Answer:

22

Step-by-step explanation:

Basically you can think of Devaughn as 3x and Sydney as 1x, which gives you 4x=88. 88/4= 22, so Sydney is 22

Answer:

40 inches

Step-by-step explanation:

Simply multiply the length value by 12

1 foot = 12 inches

Answer:

$346.00

Step-by-step explanation:

We know that the price to take a plane to the Island of Mysteries is $600 and the price to take a boat is $254.

To find how much money they will save if they were to take a boat, you would subtract the cost of the boat ride from the plane ride to find the difference.

$600 - $254 = $346.00

Answer:

kilgore, 140 miles

Step-by-step explanation:

Kilgore drives farther than Julio with a difference of 27.5 miles. Julio drives 112.5 miles while Kilgore drives 140 miles.

To determine who drives farther, we need to calculate the distance driven by Julio and Kilgore.

Kilgore drives farther. The difference in the distance is 140 miles - 112.5 miles = 27.5 miles.

Answer:

In option a, w < 10

in option b, w = 10 and 2(20) + 2(10) = 40 + 20 = 60 < 150

in option c, w > 10 but 2(60) + 2(20) = 120 + 40 = 160 > 150

In option d, w > 10 but 2(55) + 2(30) = 110 + 60 = 170 > 150

Therefore the corect answer is option b.

Step-by-step explanation:

Answer: 108

Step-by-step explanation: You take the x and the 2/3x and combine them to get 1 2/3x, so 1 2/3x=180. 180 divided by 5 is 36, and 36 times three is 108

Answer:

108

Step-by-step explanation:

Angles on a line add up to 180 degrees.

x + 2/3x = 180

5/3x = 180

x = 180 × 3/5

x = 108

Step-by-step explanation:

the answer is 55 is less than or equal to 22

Answer:

m = 12.99

Step-by-step explanation:

cos30° = m/15

√3/2 = m/15

2m = 15√3

m = 15√3/2

m = 15·1.73/2

m = 25.95/2

m = 12.99

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Answer:

5 and 13

Step-by-step explanation: edge 2021

The alternate exterior angle can be identified by understanding the definition alternate exterior angles.

The alternate exterior angles with angle 11 are angle 13° and angle 5°.

Given:

The parallel line [tex]r\parallel s[/tex] and [tex]t\parallel u[/tex].

Refer the attached figure to understand the given statement.

The alternate exterior angles can be create by transversal intersecting two parallel lines. The alternate exterior angles lies opposite side of transversal and create the two pair line of alternate exterior angles.

As per the above definition alternate exterior angles, we notice in figure [tex]\angle 13[/tex] and [tex]\angle 5[/tex] are the exterior side of parallel lines  and opposite to exterior side of parallel lines.

Thus, the alternate exterior angles with angle 11 are angle 13° and angle 5°.

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Answer:

The answer is D.

Step-by-step explanation:

The expression can be used to find the lateral area plus two bases of the cylinder is (D) 9[tex]\Pi[/tex] + 9[tex]\Pi[/tex] + 6[tex]\Pi[/tex](10) [tex]in^2[/tex] .

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

The sum of lateral area and the two bases of the cylinder

= lateral area + sum of the area of two bases.

The lateral area = 6[tex]\Pi[/tex](10) [tex]in^2[/tex].

So, The sum of the lateral area and the two bases of the cylinder

= 9[tex]\Pi[/tex] + 9[tex]\Pi[/tex] + 6[tex]\Pi[/tex](10) [tex]in^2[/tex].

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Answer:

True

Step-by-step explanation:

This is true. In a stratified random sample, the overall population is broken up into smaller groups by a certain factor that pertains to the survey they are conducting. They will then choose a simple random sample in each of these groups to determine who is going to be surveyed. Based on this, the definition is true.

Answer:

the answer would be B.

Step-by-step explanation:

Study island I did this one

The required time that it takes for 90 miles is 1.5 hour.

The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time. For instantaneous speed and average speed are equal for an object moving with constant speed.

The total distance is given as 240 miles.

And, the time taken is 4 hours.

Now, the speed can be calculated by taking the ratio of the distance and time as below,

Speed = Distance ÷ Time

⇒ Speed = 240 ÷ 4 = 60

Thus, the time taken to drive 90 miles is calculated as,

Time = Distance ÷ Speed

⇒ Time = 90 ÷ 60 = 1.5

Hence, the time taken to cover 90 miles is 1 hour.

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Answer:

118.31

Step-by-step explanation:

because the circumference is 3.14 and you have to do 37. 68 x 3.14 and you get your answer

Answer:

≈419.4 cm.

Step-by-step explanation:

To solve this problem, you will need to set up an exponential graph as shown:

y= 40 ·[tex](1.6)^{x}[/tex]

The 40 represents the initial height of the tree, while (1.6) represents the annual growth rate. 'x' represents the amount of years elapsed.

We can simply solve this by substituting 5 for x:

y= 40· [tex](1.6)^{5}[/tex]

y ≈ 419.4 cm.

Answer:

6/ 1/3

6 x 3/1

6 x 3 = 18

Hope this helps Your answer is 18

Step-by-step explanation:

Answer:

she can share with 18 people

Answer:

She earned $1,665.

Step-by-step explanation:

x / 18500 = 9/100

What did you do to transform 18500 into 100? Divide by 185

Since you divided the denominator 185, you must do the same to the numerator.

x / 185 = 9 OR 9 * 185 = x

x = 1665

We have been given that in ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. We are asked to find the ratio that represents the cosine of angle I.

First of all, we will draw a right triangle as shown in the attachment.

We know that cosine relates adjacent side of right triangle with hypotenuse.

[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]

We can see that adjacent side to angle I is IK and hypotenuse is IJ.

[tex]\text{cos}(\angle I)=\frac{IK}{IJ}[/tex]

[tex]\text{cos}(\angle I)=\frac{36}{85}[/tex]

Therefore, the ratio of cosine of angle I is [tex]\frac{36}{85}[/tex].

Answer:

the ratio of cosine of angle I is 36/85.

Step-by-step explanation:

Answer:

the x-variable will be eliminated when the adding the system of equations. The sum of the system of equations is 4y = -12.

x= - 17

y= - 3

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

Due to the pedalfer by the formation of the acid at the time when atmospheric and volcanic gases mix with water.

Pedalfer should be comprise of the  aluminum and iron oxides. It should be considered as the subdivision of the order of zonal soil that contains the wide range of soils where sesquioxides increase with respect to the silica at the time of forming the soil. Also it should be arise when the area is humid.

Therefore, we can conclude that the option d is correct.

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Answer:

50

Step-by-step explanation:

The probability of rolling an even number three times in a row is; 1/27.

It follows from the task content that the six sided die is rolled thrice.

On this note, upon rolling the dice thrice, it follows that the probability of rolling an even number all three times is;

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Answer:

I got 1/2

Step-by-step explanation:

Answer:

A,B,C

Step-by-step explanation:

if it is wrong correct me

The correct options are Option A , Option B and Option C.

It is given that of total 15 children at the park, 12 children are riding bicycles and 3 children are riding scooters.

We have to find out that which ratio is correct from the given options.

What will the value of ratio ; 2 : 4 ?

The value will be 1 : 2.

Total number of children at the park = 15

Number of children riding bicycles = 12

Number of children riding scooters = 3

The ratio of bicycles to scooters will be ;

12 : 3

The ratio of scooters to total number of children will be ;

3 : 15

The ratio of bicycles to total number of children will be ;

12 : 15

Thus , the correct options are Option A , Option B and Option C.

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Step-by-step explanation:

write it as a fraction.

Example:

What is the probability of drawing a diamond from a deck of cards?

?/4

1/4

I HOPE THIS WAS HELPFUL :-)

To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space.

To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space. This is known as the theoretical probability of A.

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Answer:

9b^8 + 24b^3 = (3b^3) [ 3b^5  +  (8)]

greatest common monomial is  3*[tex]b^{3}[/tex]

Step-by-step explanation:

we see  9b^8 + 24b^3

there is a common factor here.

3b^3  so

9b^8 + 24b^3 = (3b^3) * 3b^5  +  (3b^3) *(8)

9b^8 + 24b^3 = (3b^3) [ 3b^5  +  (8)]

so...

Answer:

x=−1 y=4

Step-by-step explanation:

Let's solve your system by substitution.

2x−5y=−22; x+7y=27

Rewrite equations:

x+7y=27;2x−5y=−22

Step: Solve x+7y=27for x:

x+7y=27

x+7y+−7y=27+−7y(Add -7y to both sides)

x=−7y+27

Step: Substitute−7y+27 for x in 2x−5y=−22:

2x−5y=−22

2(−7y+27)−5y=−22

−19y+54=−22(Simplify both sides of the equation)

−19y+54+−54=−22+−54(Add -54 to both sides)

−19y=−76

−19y

−19

=

−76

−19

(Divide both sides by -19)

y=4

Step: Substitute 4 for y in x=−7y+27:

x=−7y+27

x=(−7)(4)+27

x=−1(Simplify both sides of the equation)

Answer:

A

Step-by-step explanation:

We have the system of equations:

-3x + 4y = -22

2x + 7y = 5

Let's solve this using elimination, so multiply the first equation by 2 and the second equation by 3:

2 * (-3x + 4y = -22)  ⇒  -6x + 8y = -44

3 * (2x + 7y = 5)  ⇒  6x + 21y = 15

Our equations are now:

-6x + 8y = -44

6x + 21y = 15

Add these two together to eliminate the x term:

    -6x + 8y = -44

+    6x + 21y = 15

______________

     0x + 29y = -29

y = -29/29 = -1

Plug this back into one of the equations to find x:

-3x + 4y = -22

-3x + 4 * (-1) = -22

-3x - 4 = -22

-3x = -18

x = -18/(-3) = 6

The answer is (6, -1) or A.

Answer:

A. (6,-1)

Step-by-step explanation:

-3x + 4y = -22

2x + 7y = 5

x = (5 - 7y)/2

-3[(5 - 7y)/2] + 4y = -22

-15/2 + 21y/2 + 4y = -22

29y/2 = -29/2

y = -1

x = (5 - 7(-1))/2

x = 12/2

x = 6