Answers
Answer:
a= 75°
β= 30°
Step-by-step explanation:
α = 75° This is because triangle PQR isosceles. Thus two of its angles are equal and these two are angle α and the one labelled 75.
β = 30° This is because angles in a triangle sum up to 180°. We already know two of these angles. To find β you say 180 - ( 75 × 2)
The answer becomes 30°.
HOPE THIS HELPED
Related Questions
16x^2 - 49 when factored is ?
Answers
Answer:
(4x-7)(4x+7)
Step-by-step explanation:
This is called the Difference of Two Squares (DOTS).
These are the conditions that must be met for DOTS to work:
•There must be 2 terms.
•They must be separated by a negative sign.
•Each term must be a perfect square.
First, you have to find 2 square numbers that times together to make 16.
4×4=16
As we want 16x², you just need to make the 4 become 4x:
4x times 4x equals 16x²
Then, find 2 squares that times together to make 49.
7×7=49
You can put the two squares into a bracket with the x variable first, then the number:
(4x-7)(4x+7)
In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.
You can double check your answer by expanding it back out again using FOIL:
F-First
O-Outer
I-Inner
L-Last
Times the First two in the two brackets:
4x times 4x equals 16x²
Times the Outer two:
4x times 7 equals 28x
Times the Inner two:
-7 times 4x equals -28x
Times the Last two:
-7 times 7 equals -49
Form an equation:
16x²+28x-28x-49
The 28x cancel out to leave:
16x²-49
Hope this helps :)
Hi! Just a quick question, whats the equation i have to type?
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
Answers
Answer:
ol so polygon all sum is 540
we know that pentagon of 5 sides always has sum 540
so 5x = 540
x = 108
as per me ...
there are x boys playing in the park. the number of girls playing in the park is equal to the square root of the number of boys. if the total number of boys and girls playing in the park is 42 find the number of boys
Answers
Answer:
36 boys
Step-by-step explanation:
36+6= 42
Raju borrows rupees 16000 for 2years. the rate of interest for two successive years are 10% and 12%. If he repays rupees 5600 at the end of first year, find the amount outstanding at the end of 2 years
Answers
16000 rupees : 24(bc 2 years)=666 rupees per month.
666 rupees + 10% of the interest rate for the first year= 732 rupees per month for the first year.
For the first year he had to pay 8792 rupees in total.
For the second year he had to pay 8959 bc the interes rate was 12% for the second year.
He only paid 5600 rupees.
8792 rupees + 8959 rupees = 17,751 rupees.
17,751 rupees - 5600 rupees( that he paid) = 12,151 rupees.
Thank you
What is the range of the exponential function shown below?
f(x) = 2 •7*
A. All real numbers
B. y<0
C. All real numbers except 2
D. y> 0
Answers
Answer:
D
Step-by-step explanation:
your function is not very clear but I'm assuming it's 2 multiplied by 7^x
first let y be equal to the function
to find the range interchange x and y and make the subject
at some point you'll have to use logarithm to get rid of the exponent
only log of positive numbers numbers exist hence y must be greater than 0
1. Eddie ordered customized cups. He was
charged a $30 design fee plus $8 per cup. His
total order was $334. How many cups did Eddie
order?
Answers
Answer:
38 cups
Step-by-step explanation:
8c + 30 = 334
8c = 334 - 30
8c = 304
c = 304 ÷ 8
c = 38 cups
The total number of cups ordered by Eddie is 8
Design fee = $30
Cost per cup = $8
Total cost of order = $334
Let the number of cups ordered = p
The total cost of order can be represented by the equation :
Design cost + (cost per order × Number of orders)
$30 + (8p) = $334
8p = 334 - 30
8p = 304
p = 303 / 8
p = 38
Hence, the number of cups ordered is 8
Learn more : https://brainly.com/question/18109354
Find the values of the unknown angles marked with letters. please help me- it is about alternate angles
100 points!!!
a ?
b ?
c ?
d ?
Answers
Answer:
Step-by-step explanation:
Find either c or d first. Those are easy and everything will fall into place after those 2 are found.
c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.
d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.
a and c are same side interior, so they are also supplementary. That means that a = 115°.
b and d are also same side interior, so they are also supplementary. That means that b = 70°.
Both please please………
Answers
Answer:
Step-by-step explanation:
First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)
Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major
Does anyone know the answer plz ?
Answers
Answer:
a = 20; b = 10sqrt(3)
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : sqrt(3) : 2
b = 10 * sqrt(3)
b = 10sqrt(3)
a = 2(10)
a = 20
Answer: a = 20; b = 10sqrt(3)
Answer:
a=20,[tex]b=10\sqrt{3}[/tex]
Step-by-step explanation:
SOH-CAH-TOA
Tan = O/A
Tan(60)= b/10
[tex]b=10\sqrt{3}[/tex]
Cos = A/H
cos(60) = 10/a
a=20
Given the figure, what is the angle of rotational system?
Answers
Answer it should be 72° as the figure is a 5 fold.
360/5 = 72
Angle of rational symmetry is 72°
Must click thanks and mark brainliest
19. the first side of a triangle measures 4in less than the second side, the third side is 3 in more than the first side, and the perimeter is 15 in. how long is the third side
please help it’s late and i already started the test and my head hurts
Answers
Answer:
the third side is 5 2/3 in.
s - 1
Step-by-step explanation:
a = side 1
b = side 2
c = side 3
a + b + c = 15
a = b - 4 => b = a + 4
c = a + 3
a + a + 4 + a + 3 = 15
3a + 7 = 15
3a = 8
a = 8/3 = 2 2/3 in
b = a + 4 = 6 2/3 in
c = a + 3 = 5 2/3 in
pls help, and explain. will give brainliest
Answers
Answer:
10.28
Step-by-step explanation:
Using ratio
12 : 9
8 :x
Crose multiple
12x = 72
Make x subject formula
x = 10,28
Morgan jogged 51.2 kilometers one week. Karen jogged 53.52 kilometers the same week. How many more kilometers did Karen jog that week than Morgan?
Answers
Answer:
Karen jogged 2.32 kilometers more than Morgan.
Step-by-step explanation:
Calculate the difference:
53.52 - 51.2 = 2.32
Answer:
2.32 km
Step-by-step explanation:
Take the amount that Karen jogged and subtract the amount that Morgan jogged
53.52 - 51.2
2.32
Identify the function given y= -9/4
Answers
Answer:
the function is a y-intercept
Step-by-step explanation:
y=mx+b is the slope intercept formula, m being the slope and b being the y-intercept, meaning y=b, so b=-9/4.
Because it says y=-9/4, we can assume that m, or the slope equals 0.
so when you plug it in, you get
y=0x-9/4
y=-9/4
The question is in the picture
Answers
Answer:
dalam rajah 1 and read the full q that is the ans
Answer:
x = 91° , y = 52°
Step-by-step explanation:
Opposite angles add up to 180°.
Therefore :
1. x° + 89° = 180°
x° = 180° - 89°
x° = 91° #
2. 76° + 2y° = 180°
2y° = 180° - 76°
2y° = 104°
y° = 104° / 2
y° = 52°#
Please refer to the picture
Answers
The graph is shown in the attachment below
From the graph, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x = -1.2 and x = 1.7
From the picture, we are to draw the graph of the function
[tex]y = -\frac{4}{x}[/tex] for the range of values [tex]-3\leq x\leq 3[/tex] (that is for values of x from -3 to 3)
First we will create the table of values for the function
Table of values for the function [tex]y = -\frac{4}{x}[/tex]
x y
-3 1.33
-2 2
-1 4
0 Undefined
1 -4
2 -2
3 -1.33
(Shown better in the docx attachment)
The graph for the function [tex]y = -\frac{4}{x}[/tex] (purple lines) is also shown in the attachment.
To use the graph to solve the equation [tex]\frac{4}{x}-2x+1=0[/tex]
We will rewrite the equation so that it takes the form [tex]y = -\frac{4}{x}[/tex]
From [tex]\frac{4}{x}-2x+1=0[/tex]
Then, [tex]-2x+1= -\frac{4}{x}[/tex]
∴ [tex]y = -2x+1[/tex]
Hence, we will plot the graph for the function [tex]y = -2x+1[/tex] on the same graph and the points of intersection gives the solution.
The function is a linear equation
The points of intersection on the x and y axes (x-intercept and y-intercept) are enough to plot a straight line graph as shown in the table below as well as in the graph
x y
0 1
0.5 0
(Shown better in the docx attachment)
The straight red lines in the graph shows the plot for the function [tex]y = -2x+1[/tex]
From the graph, the points of intersection are -1.2 and 1.7
Hence, the solution to the equation [tex]\frac{4}{x}-2x+1=0[/tex] is x= -1.2 and x = 1.7
Learn more here: https://brainly.com/question/17174762
X+y=2 và x-y=4 tim x và y
Answers
Step-by-step explanation:
X
[tex]xx - xxyy - yy = 8[/tex]
what is mathematics let's check your mind who know this I will give 10 on a
Answers
Answer:
Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.
Step-by-step explanation:
Answer:
Mathematics is like the study of numbers and relationships I guess.
Step-by-step explanation:
All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.
Basic Arthimetics seems to use ratios when counting, or patterns, ect.
help me pleasssseeeeeee
Answers
Answer:
[tex]{ \bf{b. \: \: {i}^{47} }}[/tex]
Step-by-step explanation:
[tex] {i}^{46} = ( {i}^{2} ) {}^{23} = - 1 \\ \\ {i}^{47} = (i)( {i}^{46} ) = ( - 1 \times i) = - i \\ \\ {i}^{48} = ( {i}^{2} ) {}^{24} = 1 \\ \\ {i}^{49} = (i)( {i}^{48}) = (1 \times i) = i[/tex]
Answer:
[tex]i^{46} = -i[/tex]
~~~~~~~~~~~~~~~~~~~
46/4 = 11 remainder 2 = [tex]-i[/tex]
47/4 = 11 remainder 3 = 1
48/4 = 11 remainder 0 = [tex]i[/tex]
49/4 = 11 remainder 1 = -1
Step-by-step explanation:
[tex]i = \sqrt{-1} = i[/tex] (remainder 0)
[tex]i^{2} = \sqrt{-1} * \sqrt{-1} = -1[/tex] (remainder 1)
[tex]i^{3} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * \sqrt{-1} = -i[/tex] (remainder 2)
[tex]i^{4} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * -1 = 1\\[/tex] (remainder 3)
[tex]i^{5} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}* \sqrt{-1}= 1 * \sqrt{-1} = i\\[/tex] (remainder 0)
The pattern repeats every FOUR in the exponent
A Middle school is taking 932 adults and students on a field trip. Each bus can fit 34 people. How many buses will they need to take everyone on the field trip?
PLS HELP!!!
Answers
Answer:
(28 buses) 932 divided 27 remainder of 14 rounding up to 28.
Step-by-step explanation:
1. What is the formula for the circumference using the radius below?
Answers
Answer:
The formula for the circumference of a circle is
2
π
r
so all we have to do is plug in 5 for our radius:
2
π
(
5
)
which can be simplified to
10
π
.
Step-by-step explanation:
Identify the value of x and the length of each secant segment.
Answers
Answer:
x=7; NL=12; NP+20
Step-by-step explanation:
The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of
π
π.
Answers
Answer:
9π meters
Step-by-step explanation:
SInce 6π is the circumference of the circle, 6π would be the diameter.
We need to then convert 6π into the radius which we can do by dividing 6π by 2 to get 3π.
The formula for the area of a circle is πr^2. Plug in the previous result for the radius to get the following:
π3^2
9π
Answer:
Area=9π m²
Step-by-step explanation:
Hi there!
We are given that the circumference of a circle is 6π meters, and we want to find the area of the circle
The formula to find the circumference of a circle is 2πr, where r is the radius
The formula to find the area of a circle is πr², where r is the radius
So we need to find the radius
As 6π and 2πr both equal the circumference of the circle, 6π is equal to 2πr. This is possible by a property known as transitivity (if a=b and b=c, then a=c) .
As an equation, the result is:
6π=2πr
Divide both sides by 2π
3=r
So the radius is 3 meters
Now, substitute 3 as the radius in πr² to find the area
A=πr²
A=π(3)²
Raise 3 to the second power, which is the same as multiplying it by itself
A=π*9
A=9π m²
Hope this helps!
^^^ refer to the photo
Answers
Hello,
Answer: 2.5 (rad)
[tex]L=\theta*R\ \\\\\Longrightarrow\ \theta=\dfrac{L}{R} =\dfrac{30}{12} =2.5 (rad)\\[/tex]
3025 to binary octal and base 5
Answers
Answer:
for binary 101111010001. for octal 5721. for base 5 - 44100
If a ray bisects a right angle, then each newly formed angle measures 45 degrees.
A) Sometimes
B) Always
C) Never
Answers
This is because ‘bisect’ means to spilt exactly in half. If you split 90 degrees in half, you get 45 degrees.
Hope this helps!
Answer:
Always
Step-by-step explanation:
Bisects means to divide in half
90/2 = 45
So the angles are each 45 degrees
PLZ HELP ASAP please
Answers
Answer:
b:4,5
Step-by-step explanation:
Answer: 6.4
Step-by-step explanation:
Use the distance formula-[tex]\sqrt{(x_{2}-x_{1}) +(y_{2} -y_{1} \\[/tex]
Fill formula and solve-
[tex]\sqrt{(-4-0)^2+(6-1)^2[/tex]
[tex]\sqrt{ (-4)^2+(5)^2[/tex]
[tex]\sqrt{ 16+25[/tex]
[tex]\sqrt{41[/tex]
[tex]\\6.4031[/tex]
[tex]6.4[/tex]
in the solution of the equation…
Answers
Answer:
add -5
Step-by-step explanation:
hope it helps!!!!!
What is x/y ? Help pls
Answers
Answer:
ok I really suck at math, but I think you may have to multiply the x/y to get the whole area of the circle. so maybe itd be 10x25. I'm sorry if this isnt correct
(100 PTS!!) Match the following vocabulary
Answers
Answer:
Step-by-step explanation:
1. arc length
2. semicircle
3. minor arc
4. arc measure
5. circumference
6. radius
7. diameter
HOPE THIS HELPS
Answer:arc length
2. semicircle
3. minor arc
4. arc measure
5. circumference
6. radius
7. diameter
Step-by-step explanation:
