Answer:
A = 60°
Step-by-step explanation:
The total angle is 90°
So, subtract. 90 - 30 = 60°
Have a great day! :)
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?
Given:
[tex](3x+7)^2[/tex] is subtracted from 3.
To find:
The result of the given statement in the standard form of the polynomial.
Solution:
We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.
So, the resulted polynomial can be written as:
[tex]P(x)=3-(3x+7)^2[/tex]
On simplification, we get
[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]P(x)=3-(9x^2+42x+49)[/tex]
[tex]P(x)=3-9x^2-42x-49[/tex]
[tex]P(x)=-9x^2-42x-46[/tex]
Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].
Solve by completing the square.
x2 + 12x + 8 = 0
Identify the domain and range of each function. y = 4^x-5 + 3
Answer:
(- infinity, infinity), (x | x € R)
(-2, infinity), {y | y > -2)
Step-by-step explanation:
I think that's right not sure though
Two similar flagpoles are on either side of a park. The taller of the two flagpoles is 40 feet tall and casts a 32 foot shadow. If the
smaller of the two flagpoles casts a 20 foot shadow, how tall is it
Answer:
28 feet tall
Step-by-step explanation:
Pls help i know this should be easy but pls help i only have 1 point left after posting this
Answer:
I think it will be
1. integer
2. whole
3. rational
4. rational
I'm not sure but I think this is correct
Step-by-step explanation:
SUPER EASY BUT I NEED HELP PLEASSEEEEE
Answer:
9 x 5 x 2 = 9 x 10
Step-by-step explanation:
Since 5 x 2 is 10, 9 x 10 is the same thing as 9 x 5 x 2.
Answer: 10
Step-by-step explanation: 9 times 5 times 2 is 90, and 90 divided by 9 is ten.
Is 3 a solution to 3x + 5 = 5x + 6 - 2
Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
Matt bowled three strings. His scores were 220, 166, and 181. What was his average for the three strings?
Answer:
189
Step-by-step explanation:
To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.
567 divided by 3 = 189
I hope this helps :DDDDDDDDDDD
another easy math no scam links
Answer:
Step-by-step explanation:
x = 8
PLEASE HELP!! Step by step if possible
Answer:
r = 9
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
Judy and 2 friends won $145.00 at a fundraising raffle! They agreed to share the winnings equally. They received one $100 bill, four $10 bills, and five $1 bills
Answer:
There are 3 friends (Judy + 2 friends) who won $145.00
They want to share the winnings equally, but they got:
one $100 bill
four $10 bills
five $1 bills.
Assuming that they can share only those bills, the only way to share the winnings equally is:
Each friend gets one $10 bill
Each friend gets one $1 bill
Then each one gets $11.
And there is a surplus of:
one $100 bill (that can't be divided)
one $10 bill (that can't be divided)
two $1 bill (that can't be divided)
Then:
There is a common pool of $100 + $10 + 2*$1 = $112
And each one of the 3 friends gets $10 + $1 = $11
In the case where they can change the bills, each friend will get:
$145/3 = $48.33
Solve for p.
2p + 1=1
5p + 6=7
Answer:
-1/9
Step-by-step explanation:
We need to solve out and find out the value of p . The given equations is.
=> 2p + 1/ 5p + 6 = 1/7
=> 7 ( 2p + 1) = 5p + 6
=> 14p + 7 = 5p + 6
=> 14p - 5p = 6-7
=> 9p = -1
=> p = -1/9
• Hence the value of p is -1/9
Write the equivalent expression for 3a + 12 using the greatest common factor (for example: for expression 4a + 16, the equivalent expression using the greatest common factor would be 4(a + 4) ).
Answer:
3(a+4)
Step-by-step explanation:
Set up the equation and solve.
5) 700 reduced by 4 times Mia's age is 500. How old is Mia?
Answer:
50
Step-by-step explanation:
the equation is 700-4x=500
Please help me choose the right answer
HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP
A) x = 15
steps:
90 = 5x + 15
-15 -15
75 = 5x
÷5 ÷5
15 = x
explanation:
< P is 90°
so you have the equation of < P equal 90 to find the x
B) < RQP = 33
steps:
2x + 3
2(15) + 3
30 + 3
33
explanation:
now that you know what x equals you just plug in 15 for the x and solve
Identify the equation of the circle B that passes through (4, -6) and has center (3, -2).
Answer:
solution given :
centre (h,k)=(3,-2)
another point (a,b)=(4,-6)
now
radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17
We have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x-4)²+(y+6)²=17 is a required equation.
i need an answer...............................
Answer:
8 i think
Step-by-step explanation:
Which of the following topics is the Broadest?
Kyrie Irving's trade request
The movement of free-agent players
The NBA draft
Answer:
Step-by-step explanation:
its nba and kyrie
Answer:
nba aND KYRIE
Step-by-step explanation:
You have a jar of 20 jellybeans, and 4 are red. Which fraction represents the probability that you will pick a red jellybean out of the jar?
A) 4/20
B) 16/20
C) 20/4
D) 20/16
Answer:
A
Step-by-step explanation:
A probability as a fraction has a value between 0 and 1. That lets out C and D.
B is the answer to a probability of not red, so B is not correct.
The answer is A
Select the correct answer from each drop-down menu.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
Answer:
Graph A ,appears to decrease less
Step-by-step explanation:
In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.
Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let graph A shows the product quality with number of faulty products over the period of months
And , let graph B shows the product quality with number of faulty products over the period of months
Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate
Hence , graph A is best for presentation
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
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Write the equation in slope intercept form for a line that has a slope or -5 and a y-intercept of (0,2)
Answer:
y = -5x + 2
Step-by-step explanation:
y = -5x + b
2 = -5(0) + b
2 = 0 + b
b = 2
y = -5x + 2
What is the value of x if 4x - 2 < 26?
Answer:
4x<28
x<7
x;(-infinite,7)
What is 2^4 in standard form?
Answer:
2^4=16
Step-by-step explanation:
2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.
If this has helped you please mark as brainliest
Please help me!!!!!!!!!!!!
Answer:
16.03
Step-by-step explanation:
The diameter of a circle is 13 ft. Find its area to the nearest tenth.
Help me please i will mark brainliest
Answer:
The answer is 1/5
Step-by-step explanation:
The answer is 1/5
1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
38 ounces.Thanks.Hope it helps.Answer:
32 ounces........
..
Step-by-step explanation:
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