A baseball diamond is a square with 90 -ft sides. What is the length from 3rd base to 1st base? Round to the nearest tenth.

F 155.9 ft
G 141.6 ft
H 127.3 ft
J 118.2 ft

The value of x to the nearest tenth is 8.9 cm.

The radius of the circle is 5 centimetres. Line segment ab is a diameter of the circle.

The diameter of the circle is twice the length of the radius.

Hence, the value of x can be found as follows:

AB = 10 cm

Using Pythagoras theorem,

c² = a² + b²

where

Therefore,

10² - 4.5² = x²

100 - 20.25  = x²

x² = 79.75

x = √79.75

x = 8.93028554975

x = 8.9

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Given the height of building PQ and the angle of depression of a car R from the top of the building, the distance between R nd Q is approximately 58.7 meters.

Given the data in the question;

This forms a right triangle as drawn in the image below and to determine the distance between R and Q,

We use one of the six function of angle used in trigonometry.

tanθ = Adjacent / Opposite

We plug in the values from the diagram and solve for RQ.

tanθ = Adjacent / Opposite

tan( 40° ) = RQ/70m

RQ = tan( 40° ) × 70m

RQ = 0.83909963 × 70m

RQ = 58.7m

Given the height of building PQ and the angle of depression of a car R from the top of the building, the distance between R nd Q is approximately 58.7 meters.

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Answer: 5

Step-by-step explanation:

GH=GD+DH

GD=DH ==> indicated by the ticks on the two line segments GH and DH.

GH=DH+DH

4x-4=8+8

4x-4=16

4x=20

x=5

Answer:

[tex] \sf \: \frac{1}{4} [/tex]

Step-by-step explanation:

since the total of red marbles is 5 and the total of all the colours of marble is 20

therefore we write it like this;

[tex] \sf \frac{Total \: of \: red \: marbles}{Total \: of \: all \: the \: marbles}[/tex]

[tex] \rightarrow \sf \: \frac{5}{20} = \frac{1}{4}[/tex]

Extend the triangle's size by -1/3 with the center point (-1,2).

The triangle's vertices of new location point are (-2,1),(0,1) and (-3,4).

The triangle's vertices' coordinates are not specified. Assume that the triangle's vertices are located at points A(2, 5), B(-4, 5) and C. (5, -4).

A point is transformed when it is moved from its original location to a new one. Reflection, rotation, translation, and dilation are examples of Dilation is the growth or contraction of an object's size. A point A(x, y) is displaced from a point (a, b) by a factor k as follows:

[tex]A^{'}= (k(x-a)+a,k(y-b)+b)[/tex]

Where, (a,b)=(-1,2) and k=[tex]\frac{-1}{3}[/tex].

The triangle's vertices are located at points A(2, 5), B(-4, 5), and C. (5, -4). The new address is:

[tex]A^{'}= (\frac{-1}{3} (2-(-1))-1,\frac{-1}{3}(5-2)+2)=(-2,1)\\B^{'}= (\frac{-1}{3} (-4-(-1))-1,\frac{-1}{3}(5-2)+2)=(0,1)\\C^{'}= (\frac{-1}{3} (5-(-1))-1,\frac{-1}{3}(-4-2)+2)=(-3,4).[/tex]

Therefore, The triangle's vertices of new location points are (-2,1),(0,1) and (-3,4).

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Yes, Seeta is right  a  takes puzzle in 3 minutes 45 seconds time

3 x 60 = 180 + 45 = 225 seconds.

Seeta's time. 7 x 60 = 420 + 28 = 448 seconds. Nina's time.

if you times the 448 by 2 it =224.

Yes, Seeta is right.

Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the longer term.

Time is a quantity that is a part of several measurements that are used to compare the length of events or the gaps between them,  to match how long they last, to order events, and to live how quickly things change in the real world or in our conscious experience.  together with the three spatial dimensions, time is usually referred to as a fourth dimension.

Time has long been an important topic of study in philosophy, theology, and science, but scholars haven't been able to define it in a way that is applicable to all of these disciplines without becoming circular. Nevertheless, numerous industries and business domains.

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Answer: the answer is 168

In the given question angle ∠JKN is 63°.

So,

Since KN bisects ∠LKM which is 70°.

Now, we know that: (refer to the diagram below)

Therefore, in the given question angle ∠JKN is 63°.

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Answer:

w = -2, (-1/5)

Step-by-step explanation:

2|4w - 1| = 3|4w + 2|

8w - 2 = 12w + 6

-12w      -12w

-------------------------

-4w - 2 = 6

      +2   +2

---------------------

-4w = 8

÷-4    ÷-4

w = -2

2|4(-2) - 1| = 3|4(-2) + 2|

2|-8 - 1| = 3|-8 + 2|

2|-9| = 3|-6|

18 = 18

----------------------------------------------------------------------------------------------------------

2|4w - 1| = -(3|4w + 2|)

2|4w - 1| = -3|4w + 2|

8w - 2 = -12w - 6

+12w      +12w

-------------------------

20w - 2 = -6

        +2   +2

20w = -4

÷20    ÷20

------------------

w =(-1/5)

2|4(-1/5) - 1| = 3|4(-1/5) + 2|

2|(-4/5) - 1| = 3|(-4/5) + 2|

2|(-9/5)| = 3|(6/5)|

3.6 = 3.6

I hope this helps!

An athlete preparing for a marathon runs 21.3 miles then the athlete will run 34.27903 kilometer.

The kilometer (spelled kilometer in American English) is just a metric unit of length equivalent to one thousand meters.

Since there are 1.6 kilometers in a mile, multiply the number of miles by 1.6 to convert them to kilometers. Because 20 × 1.6 = 32 kilometers, 20 miles is equivalent to 32 kilometers. The more precise method would yield a conversion of 20 miles to kilometers of 32.1868.

Conversion of mile into kilometer.

It is known that, 1 mile = 1.60 kilometer.

Then, 21.3 mile = 1.60 × 21.3 = 34.08 kilometer.

An athlete training for a marathon will cover 34.27903 kilometers if they run 21.3 miles.

Therefore, the athlete will run 34.27903 kilometer.

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Answer: D. The result is an outlier and there is no gap in the data.

The statement describes this result is; D. The result is an outlier and there is no gap in the data.

In statistics, an outlier is a data point that differs significantly from other observations. An outlier may be due to variability in the measurement or it may indicate experimental error; the latter are sometimes excluded from the data set.

From the graph, at 16.5 hours, the exam score is approximately 90%. Thus, we can conclude that if a student spends 16.5 hours studying and receives a mark of 61.4%, then the result is an outlier and there is no gap in the data.

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Functions can be reflected on the x-axis, the y-axis, or both axes. For example, function reflection y= f(x) can be written as y= -f(x) or y= f(-x) even y= -f(-x). There are four types of function or graph transformations: reflection, rotation, translation, and dilation. In mathematics, especially geometry, mirror or mirroring means flipping, so basically, the mirroring of a function is the mirror image of a given function or graph. Hence the reflection function is commonly known as the reflection function.

The reflection of the given function should be similar in size and shape to the original function.

f(x)=4+x; x -axis

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Answer:

Step-by-step explanation:

Ten more than x x + 10

A number added to 5 5 + x

A number increased by 13 x + 13

5 less than 10 10 - 5

A number decreased by 7 x - 7

Difference between x and 3 x - 3

Difference between 3 and x 3 - x

Twice a number 2x

Ten percent of x 0.10x

Ten times x 10x

Quotient of x and 3 x/3

Quotient of 3 and x 3/x

Five is three more than a

number

5 = x + 3

The product of 2 times a

number is 10

2x = 10

One half a number is 10 x/2 = 10

Five times the sum of x and 2 5(x + 2)

Seven is greater than x 7 > x

Five times the difference of a

number and 4

5(x - 4)

Ten subtracted from 10 times a

number is

that number plus 5

10x - 10 = x

+ 5

The sum of 5x and 10 is equal

to the product of x and 15

5x + 10 =

15x

The sum of two consecutive

integers

(x) + (x + 1)

The sum of two consecutive

even integers

(x) + (x + 2)

The sum of two consecutive odd

integers

(x) + (x + 2)

Answer:

x=64

Step-by-step explanation:

5+(1/8)x=13

Subtract 5 to both sides to get (1/8)x=8

Multiply by the reciprocal of 1/8 (8) on both sides. The 1/8 and 8 cancel and the answer should be x=64

Answer:

There are 29% chance that they will skip their breakfast

Step-by-step explanation:

40 / 14 x 10 = the percentage of the kid skipping his breakfast

40 / 14 x 10 = 28.5%

28.5 = (rounded off) = 29%

The kid has a 29% chance of skipping the breakfast

The prediction of the number of students who spend more than 2 hours each night doing homework are 118.

It is given in the question that in a random survey of 50 students and fund that 14 of them spend more than 2 hours each night doing homework.

There are 421 students in the school.

We have to predict the number of students who spend more than 2 hours each night doing homework.

Probability of number of students who spend more than 2 hours in doing homework = 14/50 = 7/25= 0.28

If there are 421 students, number of students who spend more than 2 hours in doing homework = 0.28*421 = 117.88 ≈ 118.

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Answer:

the mean is -2 degrees celsius

Step-by-step explanation:

-7 + -1 + -4 + 0 + 2 = -10

-10 / 5 = -2

Answer:

yall i tried

Step-by-step explanation:

bring it to the formula first then gotta multiply

y = -2x + 6 is the equation of the line in slope-intercept form passing through points (-1 , 8) and (5 , -4).

An equation of a line in slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept.

Given two points passed through by the line, you can use them to write the equation of the line in slope-intercept form.

1. Find the slope of the line using the two given points.

let Point 1(-1 , 8) and Point 2(5 , -4)

slope = m = (y2 - y1) / (x2 -x1)

m = (-4 - 8) / (5 - -1)

m = -12 / 6

m = -2

2. Use the value of the slope and one of the points to find the value of the y-intercept, b. Plug in these values in the formula for slope-intercept form.

y = mx+ b

y = -2x + b

Using Point 1,

8 = -2(-1) + b

8 = 2 + b

b = 6

3. Write the equation of the line in slope-intercept form.

y = mx+ b

where m = -2 and b = 6

y = -2x + 6

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The party costs a total of 1445.

Given,

The rent of meeting room at the convention center = 400

Additional fee for each person attends the party = 5.50

Number of people in Karen’s class = 285

The number of people attended the graduation party:

2/3 of 285

= (2/3)285

= 95 x 2

= 190

Therefore the additional fee collected from 190 people,

190 x 5.50 = 1045

Now the total cost of the party = rent of room + total additional fees

= 400 + 1045

= 1445

That is, the party costs a total of 1445.

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7^4.3^-6.y is equivalent to 7.7.7.7.y/3.3.3.3.3.3 which is option (B).

b^10/b^4 is b^6 and (p^2+p-8)-(-4p^2-p+3) is 5p^2+2p-5.

Two expressions with equal sign in between is called as equation.

4. 7^4.3^-6.y

In the given expression, 7 has 4 exponent and 3 has -6 exponent.

This can be written as 7.7.7.7.y/3.3.3.3.3.3.

5. b^10/b^4 is b^10-4=b^6.

6. (p^2+p-8)-(-4p^2-p+3)

=p^2+p-8+4p^2+p-3

=5p^2+2p-5.

Therefore 7^4.3^-6.y is equivalent to 7.7.7.7.y/3.3.3.3.3.3 which is option (B), b^10/b^4 is b^6 and (p^2+p-8)-(-4p^2-p+3) is 5p^2+2p-5.

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The value of angle ∠AEF or ∠x is 80°.

So,

Then,

Now,

Therefore, the value of angle ∠AEF or ∠x is 80°.

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Answer:

[tex]x = 7 \sqrt[3]{2} [/tex]

Step-by-step explanation:

7³−((7)(4))² =7

−441≠7

False

Answer:

Step-by-step explanation:

Answer:

y = 2x - 13.

Step-by-step explanation:

The point-slope form of a line is:

y - y1 = m(x - x1)

Substituting the given values:

y - 1 = 2(x - 7)

y = 2x - 14 + 1

y = 2x - 13.

Construct the centroid (medians), circumcenter (perpendicular bisectors), and orthocenter of a right triangle (altitudes).

The three angle bisectors of a triangle are concurrent in a point equidistant from its sides. The incenter of a triangle is the point at which the triangle's angle bisectors intersect. The incenter is always inside the triangle.

The point where the three perpendicular bisectors meet is the circumcenter of a triangle. It is the circumcenter of the circle encircling the triangle, equidistant from the triangle's three vertices.

The incenter exists crucial for angle bisectors; the orthocenter is important for perpendicular bisectors; the circumcenter is important for altitudes; and the centroid is important for medians.

Construct a right triangle's centroid (medians), circumcenter (perpendicular bisectors), and orthocenter (altitudes).

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A pair of opposite angles is supplementary, a quadrilateral ABCD can be inscribed in a circle.

Every circle has an inscribed triangle with any three given angle measurements (summing to 180°, of course), and every triangle can be inscribed in any circle (which is called its circumscribed circle or circumcircle). Every triangle has an incircle, which is a circle that has been inscribed.

A cyclic quadrilateral is one that can be encircled by a circle. If and only if a pair of opposite angles is supplementary, a quadrilateral ABCD can be inscribed in a circle. Because the sum of all the angles is 360 degrees, it is true that one pair of supplementary angles is supplementary if and only if both pairs are supplementary.

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Answer:

Step-by-step explanation: