In parallelogram WXYZ, what are the coordinates of the point of intersection of WY and ZX?

Point of Intersection = ____ ____

First of all find the total area and then subtract the area of circle from the area of rectangle, It will be easier that way...

\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)

\( \qquad \bf \implies \: area = length \times breadth\)

\( \qquad \tt \blue\looparrowright \purple{area = 3 \times 4} \)

\( \qquad \tt \blue\looparrowright \purple{area = 12 \: {cm}^{2} } \)

\( \qquad \bf \implies \: area = \pi {r}^{2} \)

\( \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times {1}^{2} } \)

\( \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times 1} \)

\( \qquad \tt \red\looparrowright \green{area = 3.14 \: {cm}^{2} } \)

\( \qquad \bf \implies \: area =area \: of \: rectangle - area \: of \: circle\)

\( \qquad \tt \pink\looparrowright \orange{area = 12 - 3.14 } \)

\( \qquad \tt \pink\looparrowright \orange{area = 8.86} \)

➪ Thus, The area of the shaded region is 8.86 cm²...~

Answer:

c. t ≤ –3

Step-by-step explanation:

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

all work should be in the picture, lmk if theres anything confusing

If , a = (-2) and b = 5

Then :-

\( = \frac{8 \times 5 - 6 \times ( - 5)}{13} \)

\( = \frac{40 - ( - 30)}{13} \)

\( = \frac{70}{13} \)

\( = 5.384615\)

\(∴ \: \frac{8 \times 5 - 6 \times ( - 5)}{13} = 5.384615\)

Answer: k = 4, k = -4 and k = 0.

Step-by-step explanation:

If we have y = sin(kt)

then:

y' = k*cos(kt)

y'' = -k^2*son(x).

then, if we have the relation:

y'' - y = 0

we can replace it by the things we derivated previously and get:

-k^2*sin(kt) + 16*sin(kt) = 0

we can divide by sin in both sides (for t ≠0 and k ≠0 because we can not divide by zero)

-k^2 + 16 = 0

the solutions are k = 4 and k = -4.

Now, we have another solution, but it is a trivial one that actually does not give any information, but for the diff equation:

-k^2*sin(kt) + 16*sin(kt) = 0

if we take k = 0, we have:

-0 + 0 = 0.

So the solutions are k = 4, k = -4 and k = 0.

Answer:

49

Step-by-step explanation:

For 10 flapjacks we need a total of 100g of ingredients

therefore, we need to get how many gram for 1 flapjacks

that is, for butter 20÷10=2

for sugar 30÷10=3

for rolled oats 50÷10=5

that's a total of 10.

this means it takes 10g of ingredients to make 1 flapjacks

then 140+150+200=490

490÷10=49

The final answer is 49 flapjacks can be made from the above ingredients

Answer:

6

Step-by-step explanation:

There are six teaspoons in one fluid ounce - lots of conversion sites out there to get more info if needed.

Answer:

First, you would cancel out the lb in 2.2 lb, and cancel the kg in 1 kg. Then, you cross multiply. 46 x 1 x 1000 is 46000, you're just moving the decimal point. 1 x 2.2 x 1 would stay the same, so you would have 46000 over 2.2.

Step-by-step explanation:

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

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The exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)

An exponential function is represented as:

\(y = b^x\)

The base is 3.

So, we have:

\(y = 3^x\)

It is stretched vertically by 2/3.

So, we have:

\(y = \frac23(3)^x\)

When reflected over the y-axis, we have:

\(y = \frac23(3)^{-x}\)

An asymptote of y = 2, makes the function becomes

\(y = \frac23(3)^{-x} + 2\)

Lastly, it passes through the point (0, 3.5).

So, we have:

\(y = \frac23(3)^{-x+h} + 2\)

This gives

\(3.5 = \frac23(3)^{-0+h} + 2\)

\(3.5 = \frac23(3)^{h} + 2\)

Subtract 2 from both sides

\(1.5 = \frac23(3)^{h}\)

Multiply by 3/2

\(2.25 = (3)^{h}\)

Take the logarithm of both sides

log(2.25) = h * log(3)

Solve for h

h = 0.74

Substitute h = 0.74 in \(y = \frac23(3)^{-x+h} + 2\)

\(y = \frac23(3)^{-x+0.74} + 2\)

Hence, the exponential equation is \(y = \frac23(3)^{-x+0.74} + 2\)

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given data:

Spongebob was trying to fill up Gary's bath with water. He noticed the tub filled up 1 gallon per minute.

to find what kind of data this is.

it is discrete because it is measurable. that is countiuse while countable.

Thus the answer is discrete.

Answer:

\(g=20\)

Step-by-step explanation:

\(4\left(g-17\right)=12\)

Divide both sides by 4:

\(\frac{4\left(g-17\right)}{4}=\frac{12}{4}\)

\(g-17=3\)

Add 17 to both sides:

\(g-17+17=3+17\)

\(g=20\)

Answer: g=0 or g=20 i hope this helped

Answer:

0.32

Step-by-step explanation:

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

Answer:

0.32

Step-by-step explanation:

I would multiply the amount by 0.32 and then subtract this number by the original.

For example, decrease 100pounds by 32%...

100 x 0.32

Then 100 - 32 = 68pounds

Hope this helped :D

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Answer:

True, True, False, True

Step-by-step explanation:

$12.00 ⋅ 0.15 = $1.80

Tom paid $1.80 as tax. That takes care of the second question.

$12.00 + $1.80 = $13.80

So Tom paid more than $12.00 for his meal. That takes care of the first question.

We already know that Tom paid $1.80 as tax. So we know the third question is not right.

And we already know that $12.00 + $1.80 = $13.80. So the fourth question is correct.

Answer:

thanks

Step-by-step explanation:

Answer:

result = 15cm

Step-by-step explanation:

Hi! to can solve this, we have to keep in mind this formulas:

A1 = π \(r^{2}\)                     ; where r = radius

A2 = (π \(r^{2}\)) * (h)           ; where h= height

now  we solve:

first, we have to calculate the area of the circumference

A1 = \((3.14)*(4cm)^{2}\) = \(50.24cm^{2}\)

then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:

A2 = (π \(r^{2}\)) * (h)  

h = 15cm

the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Answer:

4 years old

Step-by-step explanation:

cathy=c

bridget=c+1

abby=3c+3

c+c+1+3c+3=24

5c=20

c=4

Answer:

Step-by-step explanation:

Find the centre first by reoriganisation it into the form (x - cx)^2 + (y -cy)^2 = r^2

x^2 + y^2 + 6x -6y +5 = 0

(x + 3)^2 - 9 + (y - 3)^2 - 9 + 5 = 0

(x + 3)^2 + (y - 3)^2 = 13

The radius does not matter the centre is ( -3, +3)

The diameter must pass through the center so substituting into the equation for the line

2x-y+a = 0

-6 -3 + a = 0 so a = 9

The value of 'a' is 0 and this can be determined by using the standard form of the equation of a circle.

Given :

Equation of a Circle --   \(x^2-2x+y^2-4y-4=0\)

Equation of a Line -- 2x - y + a = 0

The following steps can be used in order to determine the value of 'a':

Step 1 - First make the equation of a circle in standard form.

\(x^2-2x+y^2-4y-4=0\)

\((x-1)^2-1+(y-2)^2-4-4=0\)

\((x-1)^2+(y-2)^2 = 3^2\)

Step 2 - From the above step, it can be concluded that the center of the circle is (1,2).

Step 3 - If (1,2) is the center of the circle then it also satisfies the equation of diameter (2x - y + a = 0).

2x - y + a = 0

2(1) - 2 + a = 0

a = 0

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2,290,000 in scientific notation is 2.29 x 10⁶.

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form in the United Kingdom. This base ten notation is commonly used by scientists, mathematicians, and engineers, in part because it can simplify certain arithmetic operations.

Converting a number in these cases means to either convert the number into scientific notation form, convert it back into decimal form or to change the exponent part of the equation.

Now the given number is,

2,290,000

To convert 2,290,000 into scientific notation, 2,290,000 must be converted into into decimal and multiples of 10.

So, factorizing 2,290,000 we get,

2,290,000 = 229 x 10,000

Now converting 10,000 into multiples of 10

Since, 10,000 = 10 x 10 x 10 x 10

So, 2,290,000 can be written as,

2,290,000 = 229 x 10 x 10 x 10 x 10

Multiplying and divide 229 by 100 we get,

2,290,000 = (229 x 100 x 10 x 10 x 10 x 10) / 100

Rearranging we get,

2,290,000 = (229 x 100) / 100 x (10 x 10 x 10 x 10)

Since, (229 x 100) / 100 = 2.29 x 100

2,290,000 = (2.29 x 100) x (10 x 10 x 10 x 10)

And 100 = 10 x 10

Therefore we get,

2,290,000 = 2.29 x 10 x 10 x 10 x 10 x 10 x 10

Since 10 x 10 x 10 x 10 x 10 x 10 = 10⁶

Therefore we get,

⇒ 2,290,000 = 2.29 x 10⁶

this is the required scientific notation of 2,290,000 .

Thus, 2,290,000 in scientific notation is 2.29 x 10⁶.

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Answer:

\(\large \boxed{\$98.16}\)

Step-by-step explanation:

Assume that your map looks like the one below.

1. Calculate the distance

It looks like the distance on the map is 12 cm.

\(\text{Distance} = \text{12 cm} \times \dfrac{\text{30 mi}}{\text{1 cm}} = \text{ 360 mi}\)

2. Calculate the volume of gasoline

\(\text{Volume} = \text{ 360 mi} \times \dfrac{\text{1 gal}}{\text{15 mi}} = \text{24 gal}\)

3. Calculate the cost of the gasoline

\(\text{Cost} = \text{24 gal} \times \dfrac{\$4.09}{\text{1 gal}} = \mathbf{\$98.16}\\\\\text{It will cost $\large \boxed{\mathbf{\$98.16}}$ to drive to the ski lodge.}\)

Answer:

$29.71

Step-by-step explanation:

just add the reduced price to the amount you took away: 8.35+21.36=29.71

Answer:

$29.71

Step-by-step explanation:

$21.36 + $8.35 = $29.71

      hope this helps pls give brainliest

Answer:

18% of 500 = 90 (multiply 0.18 x 500)

32% of 25 = 8 (divide 8 / 0.32)

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

The graph is in the pic

Step-by-step explanation:

There are 15 cats in the animal shelter.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.

Let's set up the proportion.

5/3 = 25/c

We can then solve for c by multiplying both sides by c.

5c/3 = 25

c = 15

Therefore, there are 15 cats in the animal shelter.

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For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

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Answer:

the slope is m= 2/3

if you need it for y is y=2/3x-20/3