The coordinates of the vertices of ANGLE PQR are P(-3,3), Q(2,3), and R(-3,-4). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

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Answer 1
Answer:
Answer: PQ=5, QR=radical 61= 7.81, angle: 50degrees,
Why:PQ=|-3|+2=5PR=6angle Alfa, so there is right angle triangle PQR so I can use following formula:PQ^2 + RP^2=QR^2;25 + 36=QR^2;QR=radical 61also I can use: sinus (angle)=PR/QR;sin(angle)=6/radical61=0.76822 which gives angle to be little bit more than 50 degrees{sinus 50 degrees=0,7660}. 

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Simplify the expression: 3x + 5 + 7x=
Suppose that c (x )equals 7 x cubed minus 70 x squared plus 13 comma 000 x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.
Help please!!Solve for X.
Can anyone help quickly.. explanation is not necessary but would be appreciated, I struggle with this topic and would like to understand it a little bit.
Oxfam America, Doctors Without Borders, and the Red Cross are examples of __________.a. IRBDsb. IDAsc. NGOsd. IMFs Which of the following countries is the largest shareholder in the World Bank?a. Japanb. Francec. the United Statesd. the United Kingdom

When two lines intersect, they form

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Intersecting lines hope this helps
They form a Point OR an Angle :))

Find the surface area of polyhedra
Pls!! show how you got the surface area ​​

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Answer:

52.48

Step-by-step explanation:

find the cross sectional area which is the triangle

triangle = 1/2 x 8.2 x 6.4 = 26.24

then, use the area to multiply by the extended length of 2

26.24 x 2 = 52.48

Factor this polynomial using the factor theorem.
x^2 + 6x+ 9

Answers

Answer:

(x+3)(x+3)

Step-by-step explanation:

I hopw this helps ;-)

Mark can make 42 birthday cakes in 7 days how many cakes can mark make in 5 days

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Mark can make 30 cakes in 5 days.

How many cakes can mark make in 5 days?

Given that Mark can make 42 birthday cakes in 7 days.

In 5 days Mark can make,

If the ratio can be 42 : 7

42/ 7 = x/ 5

where, x can be the number of cakes,

x = 30

So, 30 cakes can be done in 7 days.

Learn more about ratio,

brainly.com/question/870008

#SPJ2

42:7 ratio
42/7=x/5 
you cross multiply to get 30 cakes
42 times 5 divided by 7

The area of a rug is 36 one fourth square feet. The rug is 8 three fourths feet long. What is the length of the rug

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Given: 

Area = 36 1/4 = 36.25 ft^2
Length = 8 3/4 = 8.75 ft

Unless this is a trick question, where the length can be found in the given values of the problem (where the answer would simply be L = 8.75ft), let us solve for the missing measurement, which is the width. A rug is rectangular, so to obtain the width, the area must be divided by the length. This is shown below:

Width = Area / Length
Width = 36.25 / 8.75
Width = 4.14 ft.

83. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value of each expression when x = 9, y= 8, and z= 16. In each case, the expression evaluates to a rational number.b. 11√y2z4

Answers

Answer:

2^{(18)/(11)}

Step-by-step explanation:

The given expression is

\sqrt[11]{y^2z^4}

The exponent property\sqrt[n]{x^ay^b}=x^(a/n)y^(b/n)

Applying this exponent property, we have

\sqrt[11]{y^2z^4}\n\n=y^(2/11)z^(4/11)

Now, the given numeric values are x = 9, y= 8, and z= 16

On substituting these values in the simplified expression, we get

(2)^(2/11)(16)^(4/11)

This can be further simplified by writing 16=2^4

(2)^(2/11)(2^4)^(4/11)\n\n(2)^(2/11)(2)^(16/11)

Now, applying the product rule of exponent: x^a\cdot x^b=x^(a+b)

(2)^(2/11+16/11)\n\n=2^{(18)/(11)}