A 10-foot ladder touches the side of a building at a point 8 ft above the ground. At what height would a. 7-foot ladder touch the building if it makes the same angle with the ground as the longer ladder?

Answer:

there are 10 possibilities out of 36, which is 27.8%, or a chance of 1 in 3.6

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

85 +x-10 + 2x=180

85-10+3x=180

75+3x=180

3x=105

x=35

 35-10=25

Answer:

25

Step-by-step explanation:

Go it right on edge

Andre and his dad have been fishing for 2 hours. In that time, they have caught 9 blue gills and 1 yellow perch. How many total fish are there?

There are 10 total fish. We are looking at how many fish there are, so we need  to add 9 + 1 to get our answer of 10 fish.

The next time Andre gets a bite, what kind of fish do you think it would be?

My prediction is that it will be a blue gill.

How do you know your prediction is more likely to happen?

9 out of 10 times, they have caught a blue gill. This is more probable than 1 out of 10.

Can you make any other predictions?

I would say that Andre will catch less yellow perches than blue gills. This is because the probability of catching a blue gill is greater than catching a yellow perch. I would also say that Andre will catch 5 fish per hour, since he caught 10 fish in 2 hours.

Answer:

Look at the attachment

Answer:

24 units

Step-by-step explanation:

From the description:

We also know that

sin(a) = 4/5

From definition:

sin(a) = opposite/hypotenuse

Replacing:

4/5 = EF/DE

EF = (4/5)*DE

EF = (4/5)*30 = 24 units

The length of the segment EF of the triangle DEF is 24 units.

In the image attached below we summarize the triangle described in statement, by trigonometric relationship we find that the length of the segment EF is described by the following expression:

[tex]\sin a^{\circ} = \frac{EF}{DE}[/tex] (1)

If we know that [tex]DE = 30[/tex] and [tex]\sin a^{\circ} = \frac{4}{5}[/tex], then the length of the segment EF is:

[tex]EF = DE\cdot \sin a^{\circ}[/tex]

[tex]EF = 30\cdot \left(\frac{4}{5} \right)[/tex]

[tex]EF = 24[/tex]

The length of the segment EF of the triangle DEF is 24 units. [tex]\blacksquare[/tex]

To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/7894175

Answer:

       x = 9

Step-by-step explanation:

        5          9

 (x -  (—— • x)) -  —  = 0  

        10          2

Simplify   1/2

     1          9

 (x -  (— • x)) -  —  = 0  

        2          2

                   x = 9

Answer:

x = 9

Step-by-step explanation:

Firstly, you have to balance the equation.

Start by subtracting 0.5 from both sides. Remember, when solving algebraic equations such as this one, you use reverse PEMDAS, or SADMEP.

Now, you have 0.5x = 4.5

Now, for the next step: division. Divide both sides by 0.5, or in other words, multiply by 2.

x = 9

Hope that helps! Please don't hesitate to contact me if you have any questions :)

If anything is unclear , Please notify me.

I have solved some examples. it's in the picture.

Answer:

Step-by-step explanation:

4x + y = 27

5x -y = 18

9x = 45

x = 5

4(5) + y = 27

20 + y = 27

y = 7

(5,7)

Answer:

D) cannot be determined

Step-by-step explanation:

We are given that PQR ~ XYZ

Now we are supposed to find which similarity postulate or given theorem applies

1) AA-Similarity : When Two angles of one triangle is equal to its corresponding angles of other triangle.Then, the two triangles are similar by AA Similarity.

2) SSS similarity: When three sides of two triangles are in the same ratio then the two triangles are similar by SSS similarity

3) SAS similarity : When two sides of two triangle are in the same ratio and one angle between two proportional sides of two triangles is congruent then the two triangles are similar by SAS similarity

We do not have enough information to satisfy the above options

So, Option D is true

D) cannot be determined

Answer:Cannot be determined a pex

Step-by-step explanation:

Answer:

Not a Proportional Relationship ; No Constant of Proportionality

Step-by-step explanation:

Consider the first example, 4 hours of parking costs $ 10. From this we can derive the ratio 4 : 10, so that hours parked : fee for parking is a common ratio among the two examples, the other being 5 : 12;

[tex]4 : 10, Simplify\\2 : 5, Take As Fraction,\\Solution; 2 / 5ths\\[/tex]

[tex]5 : 12, Simplify\\( Can't Be Simplified Further ) - Take as Fraction,\\Solution; 5 / 12ths[/tex]

Considering that the fractions when compared are not similar, ( 2 / 5, and 5 / 12 ) they don't have a proportional relationship, and thus have no constant of proportionality

Solution; Not a Proportional Relationship

Answer:

10/3 lawn

Step-by-step explanation:

2/3 of a lawn in 1/5 hour

-> 1 hour cab mow = 2/3(lawn) ÷ 1/5(hour)* 1(hour)

= 10/3 = 3,666666667 lawns

Answer:

maria can mow 3 lawns

Step-by-step explanation:

if it takes 1/5 of an hour to mown 2/3 of one lawn

60 divide by .2 = 12

that means it takes 12 miuntes to mown 2/3 of a lawn, so it takes 6 minutes for each 1/3

so 12+6= 18 minutes for one whole lawn

so 18 plus 18 equals 36

so 36 minutes for 2 lawns

then add another 18 minutes and you'll get 54 minutes. That's almost a whole hour

so Maria can mown 3 lawns

( if im wrong, im sorry i tried)

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

[tex]G.M. =\sqrt{ab}[/tex]

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

[tex]G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55[/tex]

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

Answer:

B) y=3x+7.5

Step-by-step explanation:

The equation of the data in the table can be obtained by using any two points.

We will use points (3, 13) and (5,17)

The slope - intercept form is:

We find the slope as:

The equation becomes:

To find the value of b, the y -intercept is:

So the equation is:

A) y = 2x + 8.5

B) y=3x+7.5

C) y=5x+6.5

D) y=10x+5.5

Answer:

The values of x that makes f(x) have a valid asymptote are 1 and 8

Step-by-step explanation:

Given

[tex]f(x) = \frac{9}{(x-1)(x-8)}[/tex]

Required

At what value does f(x) has a vertical asymptote

To solve this, we simply equate the denominator of f(x) to 0;

This is done as follows

[tex]{(x-1)(x-8)} = 0[/tex]

This can be split to

[tex]{(x-1) = 0 \ or\ (x-8)} = 0[/tex]

Remove brackets

[tex]x-1 = 0 \ or\ x-8 = 0[/tex]

Make x the subject of formula in both cases

[tex]x-1+1 = 0+1 \ or\ x-8+8 = 0+8[/tex]

[tex]x= 0+1 \ or\ x = 0+8[/tex]

[tex]x= 1 \ or\ x = 8[/tex]

The values of x that makes f(x) have a valid asymptote are 1 and 8

Answer:

The correct answer is 1 and 8

Step-by-step explanation:

Answer:

∠ f = 33°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin f = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{36}{66}[/tex] , thus

∠ f = [tex]sin^{-1}[/tex] ([tex]\frac{36}{66}[/tex] ) = 33° ( to the nearest degree )

Answer:

On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4

Step-by-step explanation:

The first function is given as:

[tex]log_3(x+3)[/tex]

The second function is given as:

[tex]log_{0.3}(x-1)[/tex]

First we graph both the functions.

We can see that one curves up and to the right from quadrant 3 into quadrant 1. This curve is of  [tex]log_3(x+3)[/tex]

The other curve curves down from quadrant 1 into quadrant 3

Both curves interest almost at (1,1)

See the graph attached below

Blue line represents first function

Green line represents second function

The solution lies on the Red line.

Answer:

A on edge2020

Step-by-step explanation:

took the test

Answer:

$3.05

Step-by-step explanation:

3 dollars = $3

1 cent = 1/100 dollar = $0.01

5 cents = 5 * 1 cent = 5 * $0.01 = $0.05

$3 + $0.05 = $3.05

Answer:

558,000

Step-by-step explanation:

First you multiple 10 by the power of 5 = 10 x 10 x 10 x 10 x 10 = 100000 x 5.58 = 558,000

Answer:

36

Step-by-step explanation:

I just did it in my head so sry if it’s wrong but I’m trying to give back bc of how much brainless has helped me

Answer:

y=3x+1

Step-by-step explanation:

First, we have to find the slope. [tex]\frac{4-(-5)}{2-(-1)}[/tex] This comes out to 9/3. This becomes 3. Now we need to find the y-intercept. Now write out how to find the answer. 4=3(2)+b. 4=3+b. Subtract 3 from both sides to get 1=b. Now write out the equation. y=3x+1

76% , trust me i got it right

Answer:

25%

Step-by-step explanation:

36-27 is 9

36*.25=9

therefore the answer is The camera is marked down by 25%.

Answer: 129.81 m, roughly 130 m

Step-by-step explanation: Let me know if you need an explanation.

Answer:

Applying the alternative interior pair of angles theorem => B = 31 deg

Applying the trigonometry property of tangent, the distance from the cliff to the boat is calculated by:

D = 78/tan(B) = 78/tan(31) =~129.81

Hope this helps!

:)

Answer:

Step-by-step explanation:

Work finished by Francesca  in one hour = 1/6

Work finished by Irvin in one hour = 1/4

Work finished by Francesca and Irvin in one hour = 1/6 +1/4

                                                             [tex]=\frac{4}{24}+\frac{6}{24}\\\\=\frac{10}{24}\\\\=\frac{5}{12}\\[/tex]

5/12 of the work is completed by both in an hour

Whole work will be completed in 1*12/5 =12/5 hours = 2 2/5 hours

                                                  = 2 hours 24 minutes

ANSWER : A= 3r^2 {r>0}

1. square both sides

2. Expand

3. solve 3^2= A/3 :  A= 3r^2

4. A=3r^2

5. Verify solutions

Answer:

x = 13.5

Step-by-step explanation:

Once again, these two traingles share angle A and both have right angles. This shows AA similarity.

Now knowing this, we can set up a ratio:

(x+3)/3 = 11/2

Mulptiply both sides by 6:

2x+6 = 33

Isolate x:

2x = 27

divide by 2:

x = 13.5

Answer:

x=13.5

Step-by-step explanation:

i similar triangles sides are proportional.

[tex]\frac{x+3}{3} =\frac{11}{2} \\2x+6=33\\2x=33-6\\2x=27\\x=27/2=13.5[/tex]

Answer:

the perimeter is 40

Step-by-step explanation:

The perimeter is all the sides added together. You would have to do: 8+8+12+12

Answer:

x = 19

Step-by-step explanation:

∠ 1 + ∠ 2 = 90° ( corresponding angle ), substitute values

4x + 9 + x - 14 = 90

5x - 5 = 90 ( add 5 to both sides )

5x = 95 ( divide both sides by 5 )

x = 19

The value of variable x is,

⇒ x = 19

We have to given that;

Measure of angles are,

m∠1 = (4x + 9)°

And, m∠2 = (x − 14)°

Now, We can see that,

Measure of angle 1 and 2 are complementary angle.

Hence, We get;

⇒ m ∠1 + m ∠2 = 90°

Substitute all the values, we get;

⇒ (4x + 9) + (x - 14) = 90

⇒ 5x - 5 = 90

⇒ 5x = 90 + 5

⇒ 5x = 95

⇒ x = 95 / 5

⇒ x = 19

Thus, The value of variable x is,

⇒ x = 19

Learn more about the complementary angle visit;

https://brainly.com/question/20428380

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