45% of the children in a school have a dog, 30% have a cat, and 18% have a dog and a cat. What percent of those who have a dog also have a cat

Step-by-step explanation:

just think back to the standard circle of radius = 1.

there the trigonometric functions are all represented as sides of right-angled triangles, where the radius is the baseline.

just like the triangle we are seeing here.

the only difference : the baseline (radius) is 17 and not 1.

and that is fine. everything is as in the standard circle, but multiplied by the radius (which is also true for the standard circle, but multiplying by 1 does not change anything, right ?).

a)

angle A is or focus. so, just imagine the triangle turned counterclockwise by 90° (so that AC is horizontal and CB is vertical).

do you see it now ?

sin is the vertical leg, cos the horizontal leg. and the leg lengths here are the standard functions multiplied by the radius.

so,

17 × sin A = 8

sin A = 8/17 = 0.470588235... ≈ 0.47

b)

17 × cos A = 15

cos A = 15/17 = 0.882352941... ≈ 0.88

c)

now B is our focus. imagine the triangle being mirrored at point B, so that B is left, and AC is right. your see it now ?

tan B = sin B / cos B

sin B = 15/17 = 0.882352941... ≈ 0.88

cos B = 8/17 = 0.470588235... ≈ 0.47

tan B = 15/17 / 8/17 = 15/8 = 1.875 ≈ 1.88

d)

cos B = 8/17 = 0.470588235... ≈ 0.47

In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111

A parallelogram is a quadrilateral with equal opposite and parallel sides. Opposite angles are equal.

In parallelogram SAVE:

m∠VAS = m∠SEV

3x - 5 = 2x + 15

x = 20

m∠VAS = 3(20) - 5 = 55 degrees

m∠VAS + m∠SEV = 180 (consecutive interior angles)

55 + m∠SEV = 180

m∠SEV = 125°

In parallelogram MORE:

∠MOR + ∠ORE = 180 (consecutive interior angles)

4x - 5 + 2x + 11 = 180

x = 29

∠MOR = 4(29) - 5 = 111

In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111

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Answer:

1/5

Step-by-step explanation:

It is easy to see a right triangle on each side of the original square with its hypotenuse on the side of the original square, each with an area of 2⋅A2=A. Thus the total area of the original square is 5A, or the ratio of the area of the shaded square to the original square is 1/5.

Answer:

1/2 of the  bar is left

Step-by-step explanation:

1/12 x2= 2/12

2/12+ 1/3=2/12+4/12

6/12=1/2

Answer:

2.6 inches

Step-by-step explanation:

As shown in the title if length is x,

x * 1/x = 8/3  * x

8 * 1 = 3x

x = 8/3 in

= 2.6 in

The new length of the rectangular print will be 2.68 feet.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Given a rectangular print with dimensions,

Length = 1 foot = 12 inches

Width = 8 inches.

Area = 12(8) = 96 square inches

Now,

The area of the new print should be the same

So,

96 = Length × 3

Length = 32 inches = 2.67 feet.

Hence "The new length of the rectangular print will be 2.68 feet".

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I hope this helps! :)

Answer:

✓ 4 2/5 divided by 1 1/10= 4

Step-by-step explanation:

✓ Factor the numerator and denominator and cancel the common factors.

✓  Hopefully this helps you!

-Keira

When [tex]4\frac{2}{5}[/tex]  is divided by [tex]1 \frac{1}{10}[/tex]  we get the value 4.

Convert mixed numbers to improper fractions:

[tex]4\frac{2}{5}[/tex] = (4 × 5 + 2) / 5 = 22/5

[tex]1 \frac{1}{10}[/tex] = (1 × 10 + 1) / 10 = 11/10

Divide the two fractions:

(22/5) ÷ (11/10)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(22/5) × (10/11)

220/55

220/55 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 5:

(220 ÷ 5) / (55 ÷ 5)

= 44/11

=4

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Answer:

Part A: No. Based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means pratically no corrlation, while the points on the graph are moderately correlatedPart B: you must describe a scenary where a variable is the cause of the number of strawberries picked. See below, the example of rainfall.

Explanation:

1. Part A:

Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.

The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to  1.

r = - 1 is  a perfect negative correlation: the points will adjust perfectly to a line with negative slope.r =  + 1 is a perfect positive correlation: the points will ajdust perfectrly to a line with positive slope.r = 0 means that the variables are not correlated at all.

Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.

Therefore, the calculated value of r = 0.01 is not accurate for t his scatter plot.

2. Part B.

A causal relationship means that the expllanatory variable (the independent variable) is the cause of the dependent variable.

Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.

I could imagine the amount of rainfall the week before of harvest.

Thus, the scenario could be:

Amout of rainfall in mm (x)         Number of strawberries picked (y)

      100                                                     20

        50                                                     40

        25                                                     80

        12.5                                                  160

        6.25                                                 320

The amount of rainfall is the cause of the number of strawberries picked, and you could find a model (function) that relates both variables.

The measure of the reflected angle is equal to the measure of the original angle

An image or figure reflected are mirror images of each other. While the coordinate points of the vertices of a figure are affected by reflection, the angles remain the same.

Hence if an angle is reflected across the y−axis, the measure of the reflected angle is equal to the measure of the original angle

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Answer:

504

Step-by-step explanation:

14x18x2=

(14x18)x2=

252x2=

504

The system of equations that Sam can use is given by:

A 13b + 4t =327.50, 6b + 2t = 142.96

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

The first order was for 13 bushes and 4 trees, and totaled $327.50, hence:

13b + 4t = 327.50.

The second order was for 6 bushes and 2 trees, and totaled $142.96, hence:

6b + 2t = 142.96.

Which means that option A is correct.

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The expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

An algebraic equation is an equation where for a value of x, the right side and the left side of the equation must be balanced.

Given the algebraic equation, 15x - 15 = 5(?)

The missing expression, is 3x - 3, because:

15x - 15 = 5(3x - 3)

Open the bracket

15x - 15 = 15x - 15

Both sides are equal.

Therefore, the expression that will make the algebraic equation true for all values of x is: A. 3x - 3.

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Answer:

C):10.99

Step-by-step explanation:

The diameter is 3.5...

3.5 x 3.14 = 10.99

The cirucmference of the stump given its diameter is closest to 10.99 ft.

The circumference of the stump is the distance round the stump. The stump is in the shape of a circle. Thus, the formula for the circumference of a circle would be used to determine the circumference of the stump.

Circumference of a circle = πD

Where:

3.14 x 3.5 = 10.99ft

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Answer:

The third option.

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]  

Step-by-step explanation:

SIN is opposite over hypotenuse.

COS is adjacent over hypotenuse

Therefore

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

Then we have 4 options.

It is not the first option beacause we can't determine which side is adjacent to the angle.

The second option

[tex]sin(Q)=\frac{RP}{QP}[/tex]

The third option

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]

It is not the fourth option beacause we can't determine which side is opposite to the angle.

Finally we see that

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]  

and

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

are equivalent.

Answer:

x = 105 degrees.

Step-by-step explanation:

The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =

135 degrees.

So angle x = 360 - ( 120 + 135)

= 360 - 255

= 105 degrees.

Note we use the fomula T = 180( n - 2)  to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.

Answer:

see image

Step-by-step explanation:

See image. It all on the paper in the picture. Hope this helps! Please mark Brainliest if possible! tysm!

Answer:

collect a sample bacteria from the lake

Answer:

A- collect a sample of bacteria from the lake.

Step-by-step explanation:

It will not help to get bacteria from a RIVER since the scientist wants to learn about the LAKE. Also, getting all the lake bacteria will cause no more bacterial life to thrive, which is bad- but just a single bacteria cell isn't good either since we don't know how it reproduces and one is usually not enough.

Answer:

=788594

Step-by-step explanation:

326 x 2,419

=788594

~Denki Kaminari here~

Answer:

6

Step-by-step explanation:

because x is equal to 1, and y is equal to 2, all we need to do is skip count 3 times by 2 and you get your answer: 6!

hope this helps :D

Answer:

6

Step-by-step explanation:

Given that x = y so that means if y and x are same and have same values. Therefore if y = 2 then x = 2.

So substitute x = 2 in 3x:

3(2) = 6

Therefore, the solution is 6

Answer:

A

Step-by-step explanation:

i dk im just desperate because the entire community is offline

Answer:

D. 60

Step-by-step explanation:

Height = constant / width

30 = c / 2

2* 30 = 60

c = 60

12 = c / 5

12 * 5 = 60

c = 60

10 = c / 6

10 * 6 = 60

c = 60

Answer:

Step-by-step explanation:

How do you solve a rectangle word problem?

The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width. Given that, the area is 500 square feet and the width is 20 feet. So, substitute these values into the formula. Divide each side by 20 to isolate l .

Answer: So, the average temperature dropping is 2 degrees per hour.

Step-by-step explanation:

Answer:

$703.04

Step-by-step explanation:

The equation for this is 625 x [tex]1.04^{years\\}[/tex].

So using the formula 625 x [tex]1.04^{3}[/tex] = $703.04

Answer:

$703.04

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the formula:

[tex]\implies \sf A=625(1+\frac{0.04}{1})^{3}[/tex]

[tex]\implies \sf A=625(1.04)^{3}[/tex]

[tex]\implies \sf A=703.04[/tex]

Given Information :-

⠀

⠀

To Find :-

⠀

⠀

Formula Used :-

⠀

[tex] \qquad \diamond \: \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \: \star[/tex]

⠀

Solution :-

⠀

Putting the given values, we get,

⠀

[tex]\sf \dashrightarrow Exterior ~angle = \dfrac{360 ^\circ}{10} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \frac{36 \cancel{0}^\circ}{ \cancel{10}} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\ \\ [/tex]

Thus, the value of the exterior angles of a Decagon is 36°.

⠀

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

⠀

Explanation :

⠀

For a regular polygon of n sides, we have

[tex]{ \longrightarrow \qquad \pmb{ \it{Each \: exterior \: angle = { \bigg( {\dfrac{360}{n} } \bigg)^{ \circ} }}}}[/tex]

⠀

Here, We are to find the measure of each exterior angle of a regular decagon.

⠀

⠀

Now, substituting the value :

⠀

[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{360}{10} } \bigg)}^{ \circ} [/tex]

⠀

[tex]\sf \longrightarrow \qquad Each \: exterior \: angle _{(Decagon)}= { \bigg( {\dfrac{36 \cancel0}{1 \cancel0} } \bigg)}^{ \circ} [/tex]

⠀

[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{36}{1} } \bigg)}^{ \circ} [/tex]

⠀

[tex]{\pmb{ \frak{ \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = 36^{ \circ} }}}[/tex]

⠀

Therefore,

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

The water of the cylinder cannot fill the container, since the cylinder has less volume. Lastly, there is no apparent mistakes.

The rectangular container ([tex]V_{R}[/tex]), in cubic inches, is full whether its volume is equal to the volume of the cylinder ([tex]V_{C}[/tex]), in cubic inches. The volume formulae for both containers are described below:

[tex]V_{R} = w\cdot l \cdot h[/tex]   (1)

Where:

[tex]V_{C} = \pi\cdot r^{2}\cdot h[/tex]   (2)

Where:

Now we proceed to determine the volume of each figure:

[tex]V_{R} = (3.6\,in)\cdot (3.6\,in)\cdot (5.3\,in)[/tex]

[tex]V_{R} = 68.688\,in^{3}[/tex]

[tex]V_{C} = \pi\cdot (1.8\,in)^{2}\cdot (5.3\,in)[/tex]

[tex]V_{C} \approx 53.947\,in^{3}[/tex]

The volume of the water in the cylinder is approximately 53.947 cubic inches. The water of the cylinder cannot fill the container, since the cylinder has less volume. Lastly, there is no apparent mistakes. [tex]\blacksquare[/tex]

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Answer:

[tex]y=-3x-2[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

where:

Given:

Equation of line: [tex]y=-3x+4[/tex]

If the line is translated -4 units along the axis, we need to substitute

[tex]x \rightarrow (x+4)[/tex]

If the line is translated 6 units along the y-axis, we need to add 6 to the equation:

[tex]\implies y=-3(x+4)+4+6[/tex]

[tex]\implies y=-3(x+4)+10[/tex]

[tex]\implies y=-3x-12+10[/tex]

[tex]\implies y=-3x-2[/tex]

Answer:

y = -3x - 2

Step-by-step explanation:

Rules to remember :

Standard form of the original equation

Translating -4 units along the x-axis

Translating 6 units along the y-axis

Answer:

DAISY

Step-by-step explanation:

6.44-2.19-1.83=2.42.

You can buy the DAISY

(in the nonstatistical term, you can tell that it could be the daisy because if you had 2.55 you could buy both)

Daisy

Step-by-step explanation:

$6.44 - $2.19 = $4.25 $4.25 - $1.83 = $2.42

You only have $2.42 left. Daisy cost $2.35 and Rose cost $2.55