MATHEMATICS MIDDLE SCHOOL

Need help!! i will give you brainliest. no plagiarism please.. Nick has designed a diamond-shaped kite as shown below. The measures of some sides of the kite are marked in the figure. Find the value of x. (JUSTIFY)

show your work.

Answers

Answer 1

Answer:

Answer:

The value of x is approximately 3.5 inches.

Step-by-step explanation:

Given:

Side OC = 5 in

Side DC = 7 in

side OP = x

We need to find the value of x.

Solution:

Now In Δ COD;

m∠COD = 90°⇒(Given in the figure)

So by using Pythagoras theorem we get;

$OD^2+OC^2 = DC^2\n\nOD^2 = DC^2-OC^2$

Substituting the values we get;

$OD^2= 7^2-5^2\n\nOD^2=49-25\n\nOD^2= 24$

Now Squaring on both sides we get;

$√(OD^2) =√(24) \n\nOD\approx 4.90\ in.$

Now $Sin\theta= \frac{\textrm{Opposite side}}{\textrm{Hypotenuse}}$

Sin D = $(Side\ OC)/(Side\ DC)$

So, Sin D = $(5)/(7)$ ⇒ equation 1

Now In Δ DPO;

m∠DPO = 90°⇒(Given in the figure)

Also Now $Sin\theta= \frac{\textrm{Opposite side}}{\textrm{Hypotenuse}}$

Sin D = $(Side\ DP)/(Side\ OD)$

So, Sin D = $(x)/(4.9)$ ⇒ equation 2

Hence we can Left hand side of equation 1 and equation 2 are same;

So we can say that Right hand side will be equal too.

Hence equation can be framed as;

$(x)/(4.9) = (5)/(7)\n\nx = (5)/(7) * 4.9\n\nx\approx 3.5\ in$

Hence, The value of x is approximately 3.5 inches.

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Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in. what is the surface area of the box of chocolates?

A photograph is framed. Dimensions of the photo with the frame is 8 cm by 6 cmand dimension without the frame is 6 cm by 4.5 cm. Find the area of the frame. Also,
find the cost of polishing the frame at a rate of ₹5 per sq.cm

Answers

Area of the frame = ((8*6)-(6*4.5)) = 21 cm^2.

Price to polish it = ₹21/5 = ₹4.2

2. Kelsea needs a test average of at least 90 to get an "A-" this marking period in math. Her three test gradesare 87,91 and 86. What score must she get on her fourth test to receive at least an A- ?
Define variable:
Equation:
Solution:

can someone check this please :)

Answers

Answer:

Equation: 87 + 91 + 86 + x = 360

Solution: 264 + x = 360

x = 360 - 264

x = 96

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

First three Kelsea's test grades : 87, 91 and 86

2. What score must she get on her fourth test to receive at least an A- ?

Define variable: x that represents the grade needed by Kelsea on her fourth test to receive at least an A-

Equation: 87 + 91 + 86 + x = 360

Solution: 264 + x = 360

x = 360 - 264

x = 96

Now you can understand if the previous work you did is correct

BRAINLIEST ANSWER!!What is the median of the data represented by the box plot?

Enter your answer in the box.

Answers

The median is 20 because this is the middle vertical line of the box and whisker plot (aka box plot). The median line doesn't have to be in the direct center of the box. It just has to be between the edges of the box. The left edge is Q1 and the right edge is Q3.

Answer: The answer is 20

Step-by-step explanation:

If you count all the numbers shown in the question: 0, 12.5 ,20 65 And 145.75

You have 5 numbers all together,

Tip: Look for the key word, such as the key word in this question is ''Median''

The word Median stands for ''The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.''

This means that the number 20 is the correct answer because, They are two numbers behind the number 20 being 0 and 12.5. And there's two numbers in front of the number 20 being 65 and 143.75

What is the perimeter of ^PQR with vertices P(-2,9) Q(7,-3) and R(-2,-3) in the coordinate plane?

Answers

The perimeter of the given triangle in the coordinate plane is 36 units.

Given:

The triangle PQR with vertices P(-2,9) Q(7,-3) and R(-2,-3) in the coordinate plane.

To find:

The perimeter of the triangle.

Solution:

The distance formula to find the distance between two points ( $x_1,y_1$ ) and

( $x_2,y_2$ ):

$d=\sqr{(x_2-x_1)^2+(y_2-y_1)^2}$

The distance between point P(-2,9) and Q(7,-3)

$PQ=√((7-(-2))^2+((-3)-9)^2)\n\nPQ=√((9)^2+(-12)^2)\n\nPQ=15 units$

The distance between point Q(7,-3) and R(-2,-3)

$QR=√(((-2)-7)^2+((-3)-(-3))^2)\n\nQR=√((-9)^2+(0)^2)\n\nQR=9units$

The distance between point R(-2,-3) and P(-2,9)

$RP =√(((-2)-(-2))^2+(9-(-3))^2)\n\nRP =√((0)^2+(12)^2)\n\nRP =12units$

The perimeter of the triangle will be given by"

$P= PQ+QR+RP\n\n=15 units+9 units+12 units = 36 units$

The perimeter of the given triangle in the coordinate plane is 36 units.

Learn more about the distance formula here:

brainly.com/question/12674171?referrer=searchResults

brainly.com/question/12662141?referrer=searchResults

Using the distance formula we can determine the perimeter of PQR.

Distance formula: d=√(x-x1)^2+(y-y1)^2
distance of PR: √(-2+2)^2+(9+3)^2= 12
distance of QR: √(7+2)^2+(-3+3)^2=9
distance of PQ: √(7+2)^2+(-3-9)^2= 15

Perimeter: 12+9+15=36

Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. How many days can Jeremy rent the camera?a.5
b.6
c.8
d.9
e.10

Answers

5 days since 6*5 equals 30. 30+15= 45. 45 is less than 50.

Answer:

a. 5

Step-by-step explanation:

plato

Jose ran 470 meters each day for 4 days in a row. what was the total distance he ran in kilometers

Answers

you divide 470÷4 and equals to 117.5

That would be 470 * 4 = 1880 meters
This equal 1.88 kilometers

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Need help!! i will give you brainliest. no plagiarism please.. Nick has designed a diamond-shaped kite as shown below. The measures of some sides of the kite are marked in the figure. Find the value of x. (JUSTIFY)show your work.

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Need help!! i will give you brainliest. no plagiarism please.. Nick has designed a diamond-shaped kite as shown below. The measures of some sides of the kite are marked in the figure. Find the value of x. (JUSTIFY)

show your work.