Mathematics Middle School

Jewelers building a pen for her baby turtles. She wants the pain to be 30 in long and 45 in wide. What piece of wood will Jill need to purchase to buildTurtle pin?

Answers

Answer 1

135 I think just multiple 45x30

Related Questions

What expression can be used for estimating 868 divided by 28?
Pls help me
Thanks

Answers

868 is almost 870. 28 is almost 30.

870 / 30 = 29

So 868 / 28 is approximately 29.

find the slope of, m, of the line passing through points (-4,-3) and (0,-2)

Answers

Slope = [tex] \frac{Y2-Y1}{X2-X1} [/tex]
where X2 is the x-coordinate of the second ordered pair and X1 is the x-coordinate of the first ordered pair. Same applies for Y2 and Y1.

Now we just plug in.

[tex] \frac{-2 - (-3)}{0 - (-4)} [/tex]

which equals

[tex] \frac{1}{4} [/tex] which is your slope.

given the function f(x)=2x^2-3x, calculate f(a+h)-f(a)/h

Answers

[tex]f(x)=2x^2-3x[/tex]

[tex] \dfrac{ f(a+h)-f(a)}{h} [/tex]

[tex]= \dfrac{2(a + h)^2 - 3(a + h) - (2a^2 - 3a)}{h} [/tex]

[tex]= \dfrac{2(a^2 + 2ah + h^2) - 3a - 3h - 2a^2 + 3a}{h}}[/tex]

[tex]= \dfrac{2a^2 + 4ah + 2h^2 - 3a - 3h - 2a^2 + 3a}{h}}[/tex]

[tex]= \dfrac{4ah + 2h^2 - 3h}{h}}[/tex]

[tex]= \dfrac{h(4a + 2h - 3)}{h}}[/tex]

[tex]= 4a + 2h - 3[/tex]

Please solve both and tell me how!

Answers

PART A:
To determine k, you need to throw x + 3 into the original function:

[tex]f(x)= x^{2} -2x-24[/tex]

So, [tex]f(x+3)[/tex] would be:

[tex]f(x+3)= (x+3)^{2} -2(x+3)-24[/tex]

Doing some FOILing/distributing, we get:

[tex]f(x+3)= (x^{2}+6x+9) -2x-6-24[/tex]

Doing some clean up/combining like terms, we get:

[tex]f(x+3)= x^{2}+4x-21[/tex]

Now, it should be clear that k=4, since k is the coefficient in front of the x term (it's the "b" in [tex]ax^2+bx+c[/tex]).

PART B:
There are several ways to find the zeros, but perhaps the easiest is to factor the result from Part A:

[tex]f(x+3)= x^{2}+4x-21=(x+7)(x-3)[/tex]

From those factors, we know that zeros occur at x = -7 and x = 3 (answers A and E).

By the way, you can check the logic of these zeros if you know about shifts/translations. [tex]f(x+3)[/tex] is a 3 unit left shift from the original function, which has zeros at x = -4 and x = 6. Well, x = -7 is 3 units to the left of x = -4. And x = 3 is 3 units to the left of x = 6. So everything seems to check out.

Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd?

Answers

10/20 or 1/2 i think i hope this answer satisfies you

All numbers 1-10 are equally likely to be chosen. Of these 10 numbers, 5 are odd. Thus, the chances that an odd number will be chosen by either boy is 0.5. The chances that both boys will pick an odd number is 0.5*0.5 = 0.25.

if triangle ABC is rotated 180 degrees about the origin, what are the coordinates of A?

Answers

Answer:

The coordinates of A is [tex](-x_1,-y_1)[/tex].

Step-by-step explanation:

We are given that a triangle ABC is rotated 180 degrees about the origin .

We have to find the coordinates of A.

Let vertices of triangle ABC [tex]A(x_1,y_1),B(x_2,y_2) ,C(x_3,y_3)[/tex]

When we rotate the about 180 degrees then the coordinates changes like as

[tex](x,y)\rightarrow (-x,-y)[/tex]

When we rotate triangle ABC about 180 degrees then its vertices Ais ([tex]x_1,y_1)[/tex] change into [tex](-x_1,-y_1)[/tex]

Hence, the coordinates of A is [tex](-x_1,-y_1)[/tex].

Final answer:

After rotating triangle ABC 180 degrees about the origin, the coordinates of point A, initially at the origin (0, 0), remain unchanged at (0, 0).

Explanation:

If triangle ABC is rotated 180 degrees about the origin, the coordinates of point A after the rotation can be determined by applying the rules of rotation in the Cartesian coordinate system. Since point A is at the origin, its initial coordinates are (0,0). A rotation of 180 degrees about the origin will essentially reflect a point over both the x-axis and y-axis, but the location of point A will remain unchanged because it is located at the center of rotation. Therefore, the rotated coordinates of point A will still be (0, 0).

Antoine is wrapping a block of cheese that is 22 centimeters long by 6 centimeters high by 10 centimeters wide with plastic wrap. What is the surface area of the cheese box?

Answers

The answer would be 824 sq. Centimeters

length = 22 cm
width = 10 cm
height = 6 cm

Surface area of a rectangular prism (cheese box) = 2B + PH
Word form ⇒ 2(Area of base) + (perimeter of base)(height)

Find the measurements needed for the formula.
Area of base = 22 × 10 = 220 cm²

Perimeter of base = 22 + 10 + 22 + 10 = 64 cm

Height = 22 cm

Plug these into the formula.
2(220) + (64)(22) = 1,848

The SA of the cheese box is 1,848 cm².

Which choice represents the best rational approximation for *square root symbol* 3? A) 14/9 B) 15/13 C) 17/10 D) 6/5

Answers

A rational number is a number which is in the form [tex]\frac{p}{q} ,q \neq 0[/tex]

Now, the value of the number [tex]\sqrt 3 = 1.73[/tex]

Now let us evaluate each given rational number in decimal form.

[tex]\frac{14}{9} = 1.6\\ \\ \frac{15}{13} = 1.2\\ \\ \frac{17}{10} = 1.7\\ \\ \frac{6}{5} = 1.2[/tex]

Therefore, among these numbers, the best approximation is option c i.e. 17/10.

C is the correct option.

Answer:

C) [tex]\frac{17}{10}[/tex]

Step-by-step explanation:

[tex]1,732050808 ≈ \sqrt{3} \\ \\ 1,73 ≈ \sqrt{3}[/tex]

Therefore answer choice C) would be the best approximate answer to this:

* [tex]1\frac{7}{10} = 1,7[/tex]

I am joyous to assist you anytime.

What is the axis of symmetry for
Y=5x^2+12x+2

Answers

5x^2 + 12x + 2 = 5(x + 6/5)^2 - 26/5

The axis of symmetry is x = -6/5.

calculate length of x

Answers

x^2 = 24^2 - (9.5)^2
x^2 = 576 - 90.25
x^2 = 485.75
x = √485.75
x = 22.04 cm

Billy is flying his new radio-controlled helicopter around town. He is using a map in which each grid line is equivalent to 100 feet. Billy releases the helicopter from the library parking lot, at (2, 6) on the map. He gets it to cruising altitude and then starts measuring its flight. Billy flies the helicopter in a direct line to the town pool, at (6, 9) on the map. How far has the helicopter flown?

Answers

Billy flew his helicopter 200 Feet. because if you do the distance formula which is (x-x)/(y-y) you add in your numbers which gives you (6-2)/(9-7) which gives you 4/2 which simplifies to 2 and you multiply 2 by 100 ft and you get 200 ft

Final answer:

The helicopter has flown a distance of 500 feet as calculated using the Euclidean distance formula for two points on a grid.

Explanation:

To find the distance the helicopter has flown, we need to calculate the Euclidean distance between the two points (2,6) and (6,9) on the grid map. We can use the formula: Distance = √[(x₂ - x₁)² + (y₂ - y₁)²], where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points. Substituting the given points into the formula, we have:

Distance = √[(6 - 2)² + (9 - 6)²] = √[(4)² + (3)²] = √[16 + 9] = √25 = 5 grid lines.

Given that each grid line is equivalent to 100 feet, the helicopter has traveled 5 grid lines * 100 feet/grid line = 500 feet.

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WILL MARK BRAINLIEST!!!
PLEASE JUST HELP!!!!
END OF UNIT ASSESSMENT TEST QUESTION!!!!
The table shows the results of a random survey of children between the ages of 10 and 15 about their favorite food.
Pizza Hamburger Chicken fingers Hot dogs Mac and cheese
67 42 59 14 24

Based on these results, if 375 children are asked about their favorite food, how many children will prefer pizza?

Answers

The answer is 122. If this is correct, please mark me brainliest.

What is the attribute being measured?

A. Psi
B. Stress
C. glass rods
D. number of rods

Answers

The amount of stress which is kind of confusing so therefore i would go with psi even though stress would also be an option.

Answer:

B. Stress

Step-by-step explanation:

Did the usa prept test :)

if 20 students ride on your bus and two fifth of them pack there lunches how many of them didnt pack there lunch

Answers

Your Answer Is...

12.

(If you need an explanation, comment below.)

Glad I Could Help, And Good Luck!

~AnonymousGiantsFan~

Use the above figure to answer the following questions. Show your work if possible

A. What is the intersection of plane P and plane R?

B. Name three points that are collinear

C. Name R in two more ways

D. Name four coplanar points

Answers

#1 is A & B (points connect)
#2 is A & B & D (because they all touch)
#3 is Plane DFG & Plane GFA
#4 is A & B & D & F

Help please Math Geometry

Answers

Hello

5.7+70
=???

Hope this helps

This is an isosceles triangle which means the triangle will have 2 of the same angles and sides. The sum of interior angles of a triangle is 180 degrees. 180-70= 110 then you divide by 2 since there are 2 angles you still need to find out. 110/2=55. Therefore, x=55 degrees

What is the slope of line m?

A.2

B.-2

C.-1/2

D.1/2

Answers

Take the two points, (-2, 0) and (0, -4).

Use the slope formula: [tex] \frac{x2-x1}{y2-y1} [/tex].

Plug the numbers in.
[tex] \frac{0-(-2)}{-4-0} [/tex] = -[tex] \frac{1}{2} [/tex]

C) -1/2

Hi there!

Step-by-step explanation:

Lesson: Exploring Slope/ and slope intercept form

First, you use slope formula.

[tex]SLOPE=\frac{Y^2-Y^1}{X^2-X^1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{(-4)-0=-4}{0-(-2)=0+2=2}=\frac{-4}{2}=\frac{-4/2}{2/2}=\frac{-2}{1}=-2[/tex]

Slope is -2

Answer is -2

*the answer must have a negative sign.*

I hope this helps you!

Thanks!

Have a nice day! :)

-Charlie

what is the length of leg s of the triangle below?

Answers

Option C is your answer.

a² + b² = c²
4² + s² = (√32)²
16 + s² = 32
s² = 16
s = 4

Segment KL is tangent to ⊙ J. If KL¯¯¯¯¯¯≅JK¯¯¯¯¯, what is m∠J? The image is of a circle with centre P and having a sector KJM. KL is tangent to the circle. Points J, M and L are joined to form a horizontal line and thus a triangle KJL is formed.

Answers

I am confused by your description can you add aa picture? do you mean a vertical line? whT order are Kim? the way you describe it there is no angle J aa it is in the middle of the sector it is just 180

That’s what it looks like. Im not sure how to solve it either though.

Just say answer, no need to explain. Thanks

Answers

For this case we have the following function:
f (x) = root (x)
We have the following information:
Reflections
To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)
f (x) = - root (x)
Vertical translations
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
f (x) = - root (x) +3
Answer:
f (x) = - root (x) +3
option C

mrs adrian bought 30 yards of dirt for her garden in her backyard. she hired 4 girls to spread the dirt if the girls divided the dirt up evenly, how many yards did each girl need to spread mrs adrians garden?

Answers

To spread the dirt evenly between the 4 girls, divide total yards of dirt (30) by the number of girls (4).

= 30 yards ÷ 4 girls

= 30/4
simplify by 2

= 15/2
convert to mixed number

= 7 1/2 yards per girl

ANSWER: Each girl needs to spread 7 1/2 yards.

Hope this helps! :)

4 girls = 30 yards

1 girl = 30 ÷ 4 = 7.5 yards

Answer: Each girl needs to spread 7.5 yards of dirt.

A circular table has a diameter of 4ft.what is its approximate area?(use pi=3)

Answers

Good question if only because it approximates. I imagine you might have been told to do the question in your head.

Area = pi r^2
r = d/2
r = 4/2
r = 2 feet
pi = 3

Area = 3 * 2 * 2 = 12 square feet <<<<<< Answer.

Somewhere in 1 Kings Ch 7, the Bible makes reference to pi being 3. It's a pretty good estimate considering the number system the Bible used.

Find the area of the figure

Answers

The area is 128 yards squared

The table shows the results of drawing letter tiles from a bag. What is the probability that the next title drawn will have the letter C on it?

Outcome. Number of times drawn
A. 12
B. 5
C. 18
D. 15

A) 1/18

B)6/25

C)9/25

D)18/25

Answers

number of draws: 12 + 5 + 18 + 15 = 50
number of times C has already been drawn: 18

probability of getting a C is 18/50 which reduces to 9/25

The answer is C

The probability of Jaden making a free throw is 15%. Predict the number of free throws that he can expect to make if he attempts 40 free throws.

Answers

6 divided by 40 is 15 percent so the answer is 6

We have been given that the probability of Jaden making a free throw is 15%.

Now, we have to predict the number of free throws that he can expect to make if he attempts 40 free throws.

In order to find the total number of free throws, we will find 15% of 40.

Therefore, the number of free throws should be

[tex]15\% \text{ of }40\\ \\ =\frac{15\times 40}{100} \\ \\ =\frac{600}{100} \\ \\ =6[/tex]

Therefore, the number of free throws that he can expect to make if he attempts 40 free throws is 6.

verify the identity sec(theta)sin(theta)cot(theta) = 1

Answers

secant = hypotenuse / adjacent
sine = opposite / hypotenuse
cotangent = adjacent / opposite

So, if we multiply all three we have a numerator of
hypotenuse * opposite * adjacent and a denominator of
adjacent * hypotenuse * opposite

Notice that "hypotenuse", "opposite", and "adjacent" appear exactly once in the numerator AND the denominator.

When numerator = denominator, then a fraction equals ONE.

A father is ten times as old as his daughter. In 5 years he will be just five times as old as she will be. How old are they now? HELP PLEASEEE

Answers

she is four years old which makes her father 40 that's ten times her age in five years she'll be 9 and he will be 45 which is 5 times her age. hope that helped you out.

Final answer:

The given problem is an algebraic equation where the daughter's age is denoted as 'x' and the father's age as '10x'. An equation is formulated to solve for 'x' based on future ages. The solution to the problem is that the daughter is 5 years old, and the father is 50 years old.

Explanation:

The problem asked is a classic example of algebra problem solving. We are told that a father is 'ten times as old as his daughter', and in five years, 'he will be just five times as old as she will be'. Let's denote the daughter's current age as 'x'. Therefore, the father's current age will be '10x'.

In five years, the daughter will be 'x+5' and the father will be '10x+5'. At this future moment, the father is 'five times as old as the daughter', so we can create the equation: 10x + 5 = 5(x + 5). Solving this equation leads to 'x=5'. So, the daughter is 5 years old and the father is 50 years old.

Learn more about Algebra here:

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How to do this I’m lost

Answers

[tex]y=9-x^2\ \ \ |-9\\\\y-9=-x^2\ \ \ \ |change\ the\ signs\\\\x^2=9-y\to x=\sqrt{9-y}[/tex]
[tex]We\ have\ y^{-1}=\sqrt{9-x}\\\\D:\\9-x\geq0\to x\leq9\\\\x\in\left(-\infty;\ 9\right>[/tex]

what is the solution to 11/(2x+5) = 12/2x

Answers

So for this problem, you have to cross multiply, numerator to denominator.
11 * 2x = 2x+5 * 12
22x = 12(2x+5)
22x = 24x+60
-24x -24x
-2x = 60
Divide both sides by -2
X = -30

Two angles are complementary. If one angle measures 32 degrees, what is the measure of the second angle?

Answers

Hoi!

Complementary angles = 90°
Supplementary angles = 180°

To calculate the measure of the second angle, subtract 32 from 90.

90 - 32 = 58

The measure of the second angle is 58°. :)

Final answer:

If one angle measures 32 degrees, the measure of the second angle can be found by subtracting 32 from 90. Therefore, the second angle is 58 degrees.

Explanation:

Complementary angles are two angles whose sum is 90 degrees. So, if one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 from 90:

Second angle = 90 - 32

Second angle = 58 degrees

Learn more about Complementary angles:

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