Mrs. Martinez is making a stained-glass
window. She wants to make a triangular pane
having side lengths a = 12 in. and b= 16 in. If
m panes can she make?

I'm assuming the given log equation is [tex]\log_{\text{x}}(49) = \text{x}[/tex]

If so, then the exponential form is [tex]\text{x}^{\text{x}} = 49[/tex]

This is because the general form [tex]\log_{\text{b}}(\text{x}) = \text{y}[/tex] transforms into [tex]\text{y} = \text{b}^{\text{x}}[/tex]

For both equations, the 'b' is the base.

Answer:

total population: 9,000

10% of 9,000= 900 students

they only surveyed 800 students so Yes the 10(800)=8,000 which is less then 9,000 or Option A

Step-by-step explanation:

answer 3 is correct.

the result is clearly shifted (translated) and then enlarged (dilation).

the dimensions of the side lengths all follow the same scale factor (2).

The measure of each angle and their reasoning are explained for all in the explanation below.

We are given that;

m∠8=23°

a). From the given image, we see that;

m∠1 and m∠8 are supplementary angles and as such they sum up to 180°;

Thus; m∠1 + m∠8 = 180°

m∠1 = 180° - m∠8

m∠1  = 180 - 23

m∠1  = 157°

b). We see that m∠1  and m∠2 are angles that form a straight line.

Sum of angles on a straight line equals 180°. Thus;

m∠1 + m∠2 = 180°

m∠2 = 180 - 157

m∠2 = 23°

c). We see that m∠3 and m∠1 are vertically opposite angles and they must be equal. Thus

m∠3 = m∠1

Thus; m∠3 = 153°

d). We see that m∠4 and m∠2 are vertically opposite angles and they must be equal. Thus

m∠4 = m∠2

Thus; m∠4 = 23°

e). We see that m∠5  and m∠1 are corresponding angles and are therefore equal. Thus;

m∠5 = m∠1

m∠5 = 157°

f). We see that m∠6 and m∠8 are vertically opposite angles and as such;

m∠6 = m∠8

Thus, m∠6 = 23°

g). We see that m∠7 and m∠5 are vertically opposite angles and are therefore equal. Thus;

m∠5 = m∠7

m∠5 = 157°

Explanation:

Turn the irrational numbers into decimals, so it is easy to understand and point on the number line graph.

Numbers provided:

√13 = 3.605551275 ≈ 3.61

√17 = 4.123105625 ≈ 4.12

Step by Step Solving:

Plot the points (circled area's):

Answer: 3 apples

Step-by-step explanation:

Given:

12 red apples

15 green apples

8 people

Freida

..............................................................................................................................................

12 + 15 = 27

Since she is going to give the apples equally among 8 people,

27 / 8 = 3 remainder 3

Each of the 8 people will get 3 apples each.

Freida will get the remaining 3 apples.

The equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

If the quadratic equation has only one solution, then

[tex]\rm b^2 - 4ac = 0[/tex]   or

[tex]\rm b^2 = 4ac[/tex]

[tex]\rm x = \dfrac{-b}{2a}[/tex]

2ax = - b

(2ax+b) = 0

(2ax+b)² = 0  (square on both sides)

[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]

Thus, the equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

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The expected value of the defective skateboard will be 4/25. Then the correct option is B.

Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.

It might be a function, a table, etc.

The table is shown below.

Then the expected value of the defected skateboard will be

p = 0 x 9/10 + 1 x 1/20 + 2 x 1/25 + 3 x 1/100

p = 1/20 + 2/25 + 3/100

p = 5/100 + 8/100 + 3/100

p = 16/100

p = 4/25

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Answer:

Step-by-step explanation:

The problem is concerned with angles 4 and 5, which lie between the lines given as parallel. They are on opposite sides of the line cutting across those parallel lines (the transversal), so they are ...

__

Being congruent angles, their measures are ...

_____

Additional comment

For questions like this, there are many descriptions that are true. It would be helpful to know the possible answer choices.

Answer:

a,c,b,a,b

Step-by-step explanation:

6.

7.

8.

9.

10.

Circumference

10π ft

24π in

34π yd

40π in

16π ft

Radius

5 ft

12 in

17 yd

20 in

8 ft

Diameter

10 ft

24 in

34 yd

40 in

16 ft

Answer:

I think its A but not sure it's the one that makes the most sense though

Answer:

SA = 105 in^2

Step-by-step explanation:

To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.

Area of a triangle:

A = 1/2b•h

= 1/2• 5 • 8

= 1/2 • 40

= 20

One triangle has area 20, so times by 4 (bc four triangles)

4•20

= 80

Area of square 5•5

= 25

Add the areas:

80 + 25

= 105 sq in

Answer:

yes

Step-by-step explanation:

because a shadow cab be expressed by a two dimension

The probability of choosing the red card will be 0.03%

In this situation, Mickey should have drawn the first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore the required probability is

P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=(13/39)⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond. Hence,

P(B)=0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore the probability that Mickey will draw her first red diamond on the 8th attempt is 0.03%

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Answer:

[tex] \longrightarrow \tt3x + 2 - ( x - 3)[/tex]

[tex] \longrightarrow \tt \: 3x + 2 - x + 3[/tex]

[tex] \longrightarrow \tt 3x - x + 2 + 3[/tex]

[tex] \longrightarrow \boxed{ \tt 2x + 5 }[/tex]

------------------- HappY LearninG <3 -------

Answer:

the answer will be

K' = -9, 5

L' = 0,5

M' = -8,3

Step-by-step explanation:

the x axis is written first and the y axis is written after that.

hope it helps!!

PLEASE MARK BRAINLIEST !!..

Answer:

K': (9,5)

L': (0,5)

M': (8,3)

Step-by-step explanation:

Tell me if im wrong!

Answer:

Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

1. 1296

2. 243

3. 64

4. 3125

Answer:

(x - 1) is a factor of 2x² - 3x + 1

Step-by-step explanation:

Method 1

If (x - 1) is a factor of f(x) = 2x² - 3x + 1  then f(1) = 0

Substitute x = 1 into the equations:

f(1) = 2(1)² - 3(1) + 1

     = 2 - 3 + 1

     = 0

Therefore, (x - 1) is a factor of 2x² - 3x + 1

Method 2

Factor  2x² - 3x + 1

Find 2 two numbers that multiply to 2 and sum to -3:  -2 and -1

Rewrite the coefficient of the middle term as the sum of these 2 numbers:

⇒ 2x² - 2x - x + 1

Factorize the first two terms and the last two terms separately:

⇒ 2x(x - 1) - 1(x - 1)

Factor out the common term (x - 1):

⇒ (2x - 1)(x - 1)

Thus proving that (x - 1) is a product of 2x² - 3x + 1

Answer:

3.2m

Step-by-step explanation:

First you do 18.4-6.4m, to get the amount of rope left after Ruben has used some to make that rope ladder. Then you get your answer, which in this case is 6.4, and divide it by 2. This way we get the length of one of the two equal lengths. After this we get 3.2m, which is the length of each tire swing rope!

Answer:

6 m.

Step-by-step explanation:

Remaining length = 18.4 - 6.4 = 12 m

So the length of each swing rope

= 12/2

= 6 m.

Answer:

46.7

Step-by-step explanation:

Sp-Cp

$44-$30=$14

14/Cp x 100

= 14/30 x 100=46.66%

Ans= 46.7%

Proof

% x CP

46.66/100 x $30= $13.998

$13.998= SP-CP

Hope it helps

Jim's got profit percentage is 46.67%

Profit percentage is refer to "the amount of profit that has been incurred in terms of  percentage".

According to the question,

Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.

In order to find profit percentage we have to use formula.

Profit percentage = [tex]\frac{selling price - cost price }{cost price}[/tex] × 100

= [tex]\frac{(44-30)}{30}[/tex] × 100

= [tex]\frac{14}{30}[/tex] × 100  

= 46.6667%  ≈ 47%

Hence, Jim's got profit percentage is 46.67%.

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Answer:

8 Edges.

Imagine a cardboard box. The top has four edges and the bottom of it has another four.

Answer:

8

Step-by-step explanation:

count top edges then multiply by 2

The approximate perimeter of the given shape is; 33.70cm.

It follows Fromm the task content that the perimeter of the shape can be determined by determining the length of the curved surface and the the other three outer surfaces as follows;

The perimeter of the shape is therefore; 18 + 15.70 = 33.70cm.

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