The total weight of a giraffe and her calf is 904 kilograms. How much does the calf weigh? Use a tape
diagram to model your thinking.

Given that radius (r) = 7 cm.

We know that the circumference of the circle = \(2\pi r\)

So, the circumference of the semicircle = \(\frac{1}{2} \times2\pi r=\pi r\)

\(=\dfrac{22}{7} \times7 \ \text{cm}\)

\(=22 \ \text{cm}\)

So, the diameter of the circle = \(2r=2\times7 \ \text{cm}=14 \ \text{cm}\)

Thus, the perimeter of each semicircular dis = \(22 \ \text{cm}+14 \ \text{cm}=36 \ \text{cm}\).

Answer:

Step-by-step explanation:

X>X

-4+X>-2+X

Answer:

54 is the width

Step-by-step explanation:

65+65=130

238-130=108

108÷2=54

Answer:

The width of the rectangular is 54yards

Step-by-step explanation:

please mark me brainliest

Ok, so

Given that:

The length is 20m.

The width is 4m.

The perimeter of the rectangle can be found if we sum:

20+20+4+4 = 48m.

Answer:

The answer is below

Step-by-step explanation:

1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:

AC² = BC² + AB²

25² = AB² + 15²

AB² = 25² - 15²

AB² = 400

AB = √400

AB = 20 cm

Using sine rule:

\(\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o\)

2)

Using Pythagoras:

hypotenuse² = 8² + 6²

hypotenuse² = 100

hypotenuse = √100

hypotenuse = 10

Using sine rule:

\(\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o\)

The  largest possible volume of the box is 108000cm^3.

The concept is the concept of

We can represent  the length of the square box as x

we can also represent the  surface of the box as S

we can represent the  height of the square box as y

we can represent the  volume as V= xy

Then since the top of the box is open  and we can equate the material of the box is equal  with surface area of box.

then  S=[x^2 +2xy +2xy]

= x^2 +4xy

Then substitute the value of S we have

10800= x^2 +4xy

y= [10800-x^2/4x]

V=2700 * 1/4X^2

V=2700 * 1/4X^2

Then substitute the value of y into

V= xy

= x[10800-x^2/4x]

V= 2700x - 3/4X^2

Differentiate the volume to 0

=3x^2 = 2700

X^2 = 3600

X = 60 and Y = 30

V=2700 * 1/4X^2

V= 270(60) - 1/4* (60)^2 = 108000cm^3

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Answer:

f-¹(x) = 48 - 3x

Step-by-step explanation:

f(x) = 16 - ⅓x → x = 16 - ⅓y → ⅓y = 16 - x → y = 48 - 3x → f-¹(x) = 48 - 3x

Answer:

4/9 of a gallon.

Step-by-step explanation:

Given that Bill has 2/3 of a gallon of juice in his container, and he pours out 2/9 to his brother, to determine the expression that will yield the amount of juice left in the container, the following calculation must be performed:

2/3 - 2/9 = X

2/3 = 6/9

6/9 - 2/9 = X

4/9 = X

So after serving his brother juice, Bill has 4/9 of a gallon of juice left.

Therefore , the solution of the given problem of surface area comes out to be cone Q has a volume of 120 mm3.

Its entire size can be determined by figuring out how much room would be required to completely cover the outside. The determination of the volume surface, with a rectangular shape, also takes the environs into account. The total measures of something are determined by its surface area. The volume of water that a cuboid can retain within depends on the number of edges that exist in the region between its four trapezoidal extremities.

Here,

Let the height and radius of cone P be denoted by h p and r p while cone Q's height and radius be denoted by h q and r q. The cones are comparable, thus we have:

=> h q/h p equals r q/r p (1)

and

Surface area of Q divided by

=> surface area of P = (h q/h p)² (2)

We are informed that P has a surface area of 24 mm2 and Q has a surface area of 96 mm2. Equation (2) provides us with:

=> Volume = (1/3)π r² h

Q's volume is equal to (1/3)x pixrq2xhq.

=> (1/3) x pi x (2r_p)² x (2h_p)

=>  (1/3) x pi x 4 x r_p² x 2h_p

=> (8/3) x pi x r_p² x h_p

Q's volume is equal to (8/3)*π*(45/π)

= 120

As a result, cone Q has a volume of 120 mm3.

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Therefore, the height of the balloon is 88.6 feet.

Height typically refers to the vertical measurement of a person or object, usually from the ground or base to the highest point. It is a common physical characteristic used to describe the distance between the bottom and top of something, such as a building, tree, or person. Height is usually measured in units such as feet or meters, and it can vary greatly depending on the object or individual being measured. For humans, height can be influenced by factors such as genetics, nutrition, and environmental factors.

by the question.

denote the height of the balloon as "h" and the distance from the observer to the point on the street directly beneath the balloon as "x". We can then use the tangent function to set up the following equations:

\(tan (53 °) = h / x\)

tan (29°) = (h - b) / x (where "b" is the radius of the balloon)

We can solve for "x" in the first equation by multiplying both sides by "x" and then dividing by tan (53°):

\(x = h / tan (53°)\)

We can then substitute this expression for "x" into the second equation:

\(tan (29°) = (h - b) / (h / tan(53°))\)

We can simplify this equation by multiplying both sides by (h / tan(53°)):

\(tan (29°) * (h / tan (53°)) = h - b\)

We can then solve for "h" by adding "b" to both sides and simplifying:

\(h = b + tan (29°) * (h / tan (53°))\\h - (tan (29°) / tan (53°)) * h = b\\h * (1 - tan (29°) / tan (53°)) = b\\h = b / (1 - tan (29°) / tan (53°))\)

We just need to know the radius of the balloon to compute "h". Since we are given the angles of elevation to the top and bottom of the balloon, we can use the tangent function again to find the height of the lower part of the balloon:

tan (53°) = (h - b) / x

We can solve for "b" by multiplying both sides by "x" and then subtracting "h" from both sides:

\(b = x * tan(53°) - h\)

We can substitute the expression we found for "x" earlier:

\(b = (h / tan(53°)) * tan(53°) - h\\b = h * (1 - 1 / tan(53°))\)

Now we have an expression for "b" in terms of "h", which we can substitute into our expression for "h":

\(h = (h * (1 - 1 / tan(53°))) / (1 - tan(29°) / tan(53°))\)

Multiplying both sides by the denominator:

\(h * (1 - tan(29°) / tan(53°)) = h - h / tan(53°)\\h * (tan(53°) - tan(29°)) / tan(53°) = h / tan(53°)\)

Multiplying both sides by tan (53°) and simplifying:

\(h * (tan(53°) - tan(29°)) = h\\h = 60 * (tan(53°) - tan(29°))\\h = 88.6 feet\)

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer: C

Step-by-step explanation:

9514 1404 393

Answer:

  supplement of ∠B = 180° -x°

Step-by-step explanation:

The supplement of an angle is the difference between 180° and that angle.

  supplement of ∠B = 180° - m∠B

  supplement of ∠B = 180° -x°

Answer:

Yes, by ASA congruence.

Step-by-step explanation:

Solving :

Hence, as 2 angles and a side of the triangles are equal, we can say they are congruent by ASA congruence.

\(\huge\underline{{\sf Answer}}\)

\( \textbf{Let's check if the two triangles are } \)\( \textbf{congruent} \) ~

\( \large\textsf{Given information } \):

\( \textsf{Two angles of a triangle is equal to corresponding} \) \( \textsf{two angles of another triangle, and they} \)\( \textsf{have one side in common (should be equal} \)\( \textsf{for both) } \)

\( \textsf{So, after analyzing this information, we can } \)\( \textsf{conclude that the two triangles are congruent by} \)\( \textsf{AAS congruency criteria.} \)

\( \texttt{[ since two angles are equal and one} \)\( \texttt{non included side is common/equal ]} \)

Answer:

PQR and RQP

Step-by-step explanation:

We name the angle by providing 3 points - the middle point needs to be the tip of the angle, the other two should lie on the sides. The order of the sides doesn't matter (unless we define it to), so both PQR and RQP are valid names for this angle.

Step-by-step explanation:

This question is very straightforward.

Angle names always has a format: angle aBc

, where the middle letter is always the angle you want to use or find the value of.

Therefore in this case, you can name the angle , as angle RQP or angle PQR.

Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).

The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.

Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.

After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.

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The answer is 506 not to sure since I haven't done this in a while

Answer:

506

Step-by-step explanation:

According to the order of operations(or PEMDAS), you would first evaluate the exponent in the problem: \(8^3\). \(8^3\) is equivalent to \(8*8*8\), which is just 512. Therefore, the equation would now be 512 - 9 * 2 ÷ 3

Next step would be to do out the multiplication and division left to right. First is 9 * 2 which is 18. Then that is divided by three to get 6. The equation would now be 512 - 6.

512 - 6 is just 506.

The domain of the graph of the exponential function is (d) all real numbers

From the question, we have the following parameters that can be used in our computation:

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

Step-by-step explanation:

This is a very easy question if you think the opposite.

1.- The opposite of multiplication is division. So with this knowledge, we can form any amount of problems we want we just need to combine the numbers with our product which is 2.352.

2.- So in the first place, let's make it easy. If we divide 2.352 in 2 then we are going to obtain. 1.176 as a product. Then we combine our product with our divisor and we can multiply them to find our initial product which was 2.352.

3.- In the second place we go more complicate, we divide 2.352 in 6 and we will obtain. .392 then we combine .392 with 6 to multiply them and we obtain back our initial objective. Can you see? it is the easiest thing to do.

4.- We then look for scenarios to put these two processes and we will find our problems.

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

Answer:

101 it called ratios

Step-by-step explanation:

it simple you see the pattern it goes 101010 and the next three is 101

Answer:

47.4167

D. The computed mean is close to the actual mean because the difference between the means is less than 5%

Step-by-step explanation:

Given the distribution :

Speed(m/hr) ___ midpoint(x) ___ F ___fx

42 - 45 _______ 43.5 ________21 __ 913.5

46 - 49 _______47.5 _________15 __712.5

50 - 53 _______ 51.5 _________6 __ 309

54 - 57 _______ 55.5 ________ 4 ___ 222

58 - 61 ________59.5 ________ 2 ___ 119

The midpoint, x= sum of lower and upper boundary divided by 2

For instance, (42 + 45) / 2 = 43.5

The computed mean, Σfx / Σf = 2276 / 48 = 47.4167

Actual mean = 47.3 miles

(47.4167 - 47.3) / 47.3 * 100% = 0.24%

Answer:

Try to say 1/3 of 5/8 and simplify then you should get an answer in  I believe

Step-by-step explanation:

The greater angle has a 67.5° degree measurement. When two angles' measurements add up to 90°degrees, they are said to be complimentary.

Call that angle we're looking for "x" for convenience.

The degree that, if added to x, makes x equal 90° degrees is known as the compliment of x.

We now know that 3x, or 3 times x, is the compliment of x.

With this knowledge, we can construct the following equation:

x + 3x = 90°

combining comparable equations;

4x = 90°

x = 22.5°, when both sides are divided by 4.

As a result,

3x = 3(22.5°) = 67.5° degrees is the measurement of the greater angle, which is the complement of x.

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Answer: x=2 and y=4/3

Step-by-step explanation:

To solve by substitution method, you want to solve for one variable, and plug it into the other equation.

Let's solve for y in 2x+3y=8.

\(2x+3y=8\)                          [subtract both sides by 2x]

\(3y=8-2x\)                           [divide both sides by 3]

\(y=\frac{8-2x}{3}\)

Now that we have y, we can plug it into the second equation.

\(9x-3y=14\)                         [plug in y]

\(9x-3(\frac{8-2x}{3} )=14\)                 [multiply 3 and y to cancel out the 3]

\(9x-(8-2x)=14\)                [distribute -1 to 8-2x]

\(9x-8+2x=14\)                   [combine like terms]

\(11x-8=14\)                          [add both sides by 8]

\(11x=22\)                                [divide both sides by 11]

\(x=2\)

Since we know the value of x, we can substitute it back into any of the 2 equations to find y.

\(2x+3y=8\)                           [plug in x=2]

\(2(2)+3y=8\)                        [multiply 2 and 2]

\(4+3y=8\)                            [subtract both sides by 4]

\(3y=4\)                                  [divide both sides by 3]

\(y=\frac{4}{3}\)

Our final answer is x=2 and y=4/3.

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

Answer:

cos θ = -2/√29

Step-by-step explanation:

tan θ = -5/2, π/2 < θ < π

One method is to draw a triangle with the hypotenuse in quadrant II.  The height of the triangle is 5, and the base is -2.  The hypotenuse can be found using Pythagorean theorem:

c² = a² + b²

c² = (-2)² + (5)²

c = √29

Therefore, cos θ = -2/√29.

Another method is to use one of the Pythagorean identities.

tan²θ + 1 = sec²θ

(-5/2)² + 1 = sec²θ

25/4 + 1 = sec²θ

29/4 = sec²θ

cos²θ = 4/29

cos θ = -2/√29

how many were there? well, really there were "x", which oddly enough is the 100%, we also know that 40% of "x" is 80, so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 80& 40 \end{array} \implies \cfrac{x}{80}~~=~~\cfrac{100}{40} \\\\\\ \cfrac{ x }{ 80 } ~~=~~ \cfrac{ 5 }{ 2 }\implies 2x=400\implies x=\cfrac{400}{2}\implies x=200\)

Answer: 5.5 quarts = 22 cups

Step-by-step explanation:

1 cup = 4 cups

to convert cups to quart, just multiply by 4

5.5 x 4 = 22