WORTH 100 POINTS!!
Based on the diagram, what is tanA ?

Right triangle A B C. Angle A C B measures 90 degrees. Side length a is across from angle A. Side length b is across from angle B. Side length c is across from angle C.

To make 1 spring, 1.5 inches of steel wire are needed.

To find out how many inches of steel wire are needed to make 1 spring, we can set up a proportion. We know that the worker uses 450 inches of steel wire to make 300 springs. Let x represent the number of inches of steel wire needed to make 1 spring. The proportion would be:

450 inches/300 springs = x inches/1 spring

To solve for x, we can cross multiply:

450 * 1 = 300 * x

450 = 300x

Dividing both sides by 300, we get:

x = 450/300 = 1.5 inches

Therefore, 1.5 inches of steel wire are needed to make 1 spring.

Answer:

the answer is c

Step-by-step explanation:

Answer:

f^-1(x)= 9x+117

Step-by-step explanation:

hello :

let f(x) = y  so : y = 1/9 x-13

calculate : x       you have : 1/9x= y+13  so : x= 9(y+13)=9y+117

If f(x)=1/9x-13, then f^-1(x)= 9x+117

Answer:

∠SRP and ∠QRP

∠TUR and ∠VUR

Step-by-step explanation:

Adjacent angles are angles that share a common side and have the same vertex. Here you need to see if each pair share a side and start at the same point.

∠SRP and ∠QRP: These are adjacent because they share the same vertex and side

∠TUR and ∠VUR: These are adjacent because they share the same vertex and side

∠QRP and ∠VUW: These are not adjacent because they do not share the vertex, only share a common side

∠TUR and ∠SRU: These are not adjacent because they do not share the vertex, only share a common side

Answer:

His family ate 8 sugar cookies.

16 sugar cookies are left.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

14 out of 105= 7.5

4 out of 30= 7.5

Both numbers, 14 and 4, have the same ratio.

There are 14 small breed dogs in the shelter.

The question involves using proportional reasoning to predict the number of small breed dogs in a shelter. From the given sample of 30 dogs, 4 are classified as small breeds. To find the predicted number of small breeds in the entire shelter, we set up a proportion based on the sample proportion:

4 small dogs out of 30 total dogs (sample) = x small dogs out of 105 total dogs (shelter).

Solving for x gives us the predicted number of small breed dogs:

(4/30) * 105 = x

Calculate the value of x:

x = (4* 105) / 30

x = 420 / 30

x = 14

Therefore, based on the sample, we would predict that there are 14 small breed dogs in the shelter.

Answer:

59 is an outlier in the numbers, which increased the average of the toys.

Answer:

Step-by-step explanation:

0.34 x 100 / 100

= 34 / 100

Reduce the fraction:

34/100 by 2

2 x 17 = 34

2 x 100 = 50

= 17/50

^ These are the lowest terms.

Answer:

17/50

Step-by-step explanation:

First, write as a fraction :

34/100 since it is thirty-four hundredths

then, simplify by finding GCD(greatest common divisor):

34 divided by 2=17; 100 divided by 2=50 so the fraction becomes:

17/50 in simplest form.

Answer:

-144 = 18

Step-by-step explanation:

1). 24xy = 6y

  x = -2; y = 3

  24(-2)(3) = 6(3)

   -144 = 18

Answer:

The answer is 10

Step-by-step explanation:

Equation to find the hypotenuse (c) is [tex]\sqrt{a^{2} +b^{2} }[/tex]

[tex]5^{2}[/tex] x [tex]2^{2}[/tex] = 100 (which is your [tex]c^{2}[/tex])

[tex]\sqrt{100}[/tex] = 10

Answer : The percentage error will be, 45.5 %

Step-by-step explanation :

To calculate the percentage error, we use the equation:

[tex]\%\text{ error}=\frac{|\text{Experimental value - Accepted value}|}{\text{Accepted value}}\times 100[/tex]

We are given:

Experimental value = 16 inches

Accepted value = 11 inches

Now put all the given values in above equation, we get:

[tex]\%\text{ error}=\frac{|16-11|}{11}\times 100\\\\\%\text{ error}=45.5\%[/tex]

Hence, the percentage error will be, 45.5 %

Answer:

700 joules

Step-by-step explanation:

Basically,

The KE formula is this KE=1/2mv^2

So we substitute the mass for m and the meters per second for v (velocity)

[tex]\frac{1}{2} (14)(10^2)[/tex]

Use PEMDAS, one half times 14 is 7

10 squared is 100,

100*7 = 700

Thanks me later :)

Answer:

The answer is -3/10

Step-by-step explanation:

Answer:

-0.3 or -[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Separate the squares making it:

[tex]-\frac{\sqrt{9} }{\sqrt{100}}[/tex]

Square root them:

[tex]\frac{3}{10}[/tex]

Don't forget the negative

[tex]-\frac{3}{10}[/tex]

Answer:

y=

Step-by-step explanation:

16²=256 sooo....

12y^2=256

6y*6y=256

find what y equals

Answer:

B

Step-by-step explanation:

E2021

Answer:

4. B 5. C

Step-by-step explanation:

Answer:

B; C

Step-by-step explanation:

The data contains 10 separate values.The only plot with 10 "x"s is the 2nd one, therefore the answer is B.

The only stem-and-leaf plots in the proper format are the last 2. The only one containing "89" as a value is the 3rd one (It was one of the values in the data set). Therefore, it is C.

Probability of a the number will less than 4 is  [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Given,

A die will be rolling.

To find the probability of a the number will less than 4.

Formula

Probability of an event = Number of possible outcomes ÷ Total number of outcomes

Here,

Less than 4 means =1,2,3 = 3 times

Total number of outcomes = 6

Hence,

Probability of a the number will less than 4 = [tex]\frac{3}{6} = \frac{1}{2}[/tex]

Answer:

4x(2x+3)(2x−3)

Step-by-step explanation:

Factor 16x3−36x

16x3−36x

=4x(2x+3)(2x−3)

Look at the attached picture ⤴⤴

Hope this will help u...

Answer:

(4, 0) and (6, 0)

Step-by-step explanation:

The function that we have is:

[tex]g(x)=x^2-10x+24[/tex]

This is the function of a parabola.

to find the points where the function crosses the x-axis, we need to find the values of x for which g(x) (which is the value of the y-axis) is equal to zero.

so we need [tex]g(x)=0[/tex] for the function to be crossing the x-axis.

Thus our equation becomes:

[tex]x^2-10x+24=0[/tex]

and we can solve this equation with the quadratic formula or by factoring.

I will sove by factoring:

To factor this type of equations we need to find 2 number that satisfy the following:

In this case those 2 number are: -6 and -4 because:

(-6)(-4)=+24

-6 - 4 = -10

Thus we arrange our factored equation as follows:

from [tex]x^2-10x+24=0[/tex] through factoring we get:

[tex](x-6)(x-4)=0[/tex]

and because of the zero factor property (if two things when multiplied result in zero one of them or both must be zero), thus our x values are:

[tex]x-6=0\\x=6\\[/tex]

and

[tex]x-4=0\\x=4[/tex]

thus, our points are those with and y coordinate of 0 and an x coordinate of 6 and 4:

(4,0) and (6,0)

Answer:

70,000,000,000,000,000,000,000

Step-by-step explanation:

Board:

Width = 3 feet = 3*12 = 36 inches

Height = 1 foot = 1*12 = 12 inches

36 in (board width) / 2 in (posit width) = 18

12 in (board height) / 2 in (posit height) = 6

Area = base * height

Area = 18 post-its wide * 6 post-its height = 108 post-its

Answer:16

Step-by-step explanation:I think

Answer:

D. 31

Step-by-step explanation:

To find the mean of any group of numbers, you simply add up all the numbers and then divide by how many numbers there are.

Using a calculator or a pencil, add the following:

27 + 28 + 30 +28 + 28 + 31 + 29 + 33 + 28 + 28 + 31 + 33 + 41 + 41 + 25

= 461

The last step is to divide 461 by 15:

461/15 = 30.73

Round 30.73 to the nearest whole number and you get D. 31

Answer:

5/6th

Step-by-step explanation:

Answer: 3/52

Step-by-step explanation: There are 3 face diamonds in a deck of 52 cards making it a 3/52 chance of pulling one.

Answer: 0.25 or 25%

Step-by-step explanation:

you have to do 3 (the number of diamond face cards) divided by 12 (the total number of face cards) which is 0.25

Answer: I need to know the number for the slope. I know the y-intercept, which is b, but I need to know m (the slope) I can give you y = mx+6.

Step-by-step explanation:

Answer: 109/10

Step-by-step explanation:

1. Find the GCD (or HCF) of numerator and denominator

GCD of 109 and 10 is 1

2. Divide both the numerator and denominator by the GCD

109 ÷ 1

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

10 ÷ 1

3. Reduced fraction:  

109

-----------

10

Therefore, 109/10 simplified is 109/10

Step-by-step explanation:

Given data,

Test scores =60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100

    Mean= (60+65+70+75+80+80+80+85+85+90+95+100)/11

             = 885/11

             = 80.45

   Median= 80

Answer:

Range

Step-by-step explanation:

The range of a graph tells you all of the possible y-values for it.

There is also the domain, which tells you all of the possible x-values.

For example, if you have this relation, that only has these points:

(1, 2) (2, 4) (3, 6)

Then the range is {2, 4, 6}. This means the "y" can ONLY be the numbers stated here.

The domain would be {1, 2, 3}.

The heaviest bag has (1 + 1/8) lb more than the lightest bag.

By looking at the histogram, we can see that the heaviest bag weighs:

M = (5 + 1/2) lb

The lightest bag weighs:

m = (4 + 3/8) lb

Now we need to take the difference between these masses:

M - m =  (5 + 1/2) lb -  (4 + 3/8) lb = (5 - 4) lb + (1/2 - 3/8) lb

M - m = 1 lb + (4/8 - 3/8)lb = (1 + 1/8)lb

This means that the heaviest bag has (1 + 1/8) lb more than the lightest bag.

If you want to learn more about mass:

https://brainly.com/question/11408596

#SPJ2

Answer: The answer is : 5 ( 2 x^ 2 + 3 x − 1 )     (Friend me )

Step-by-step explanation: You know that 5 can go into 10, 5, and 15 evenly. Therefore, 5 must be the GCF. So, you factor five and basically rewrite the equation to fit the number 5.