In the circle below, QS is a diameter. Suppose m QR = 68° and m<QRT= 56°. Find the following.
Answers
Answer:
[tex]\boxed{\angle RQS = 56 \ degrees}[/tex]
[tex]\boxed{\angle SRT = 56 \ degrees}[/tex]
Step-by-step explanation:
A) ∠QRS = 90 degrees (The angle of the triangle opposite to the diameter is always 90)
Given that QR = 68 degrees
So,
∠RSQ = [tex]\frac{1}{2} (QR)[/tex]
∠RSQ = 68/2
∠RSQ = 34 degrees
Now, Finding ∠RQS
∠RQS = 180-90-34
∠RQS = 56 degrees
B) ∠SRT = ∠QRS - ∠QRT
=> ∠QRS = 90 (Mentioned above) , ∠QRT = 56 (Given)
So,
∠SRT = 90-56
∠SRT = 34 degrees
Related Questions
*PLEASE ANSWER* If we decrease a dimension on a figure, how is the figure’s area affected? a.) The area decreases. b.) The area becomes 0. c.) The area increases. d.) The area remains the same.
Answers
Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.
The area of the figure decreases when the dimension is decreased
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the figure be represented as ABCD
where ABCD is a rectangle
Now , the measures of the sides of the rectangle be
The length of the rectangle = L
The width of the rectangle = W
And , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle = LW
when the dimension of one of the unit is decreased , we get
when L = L/2
Area of rectangle = ( LW) / 2
So , the area of the figure is decreased bu ( 1/2 )
Hence , the area of the figure decreases
To learn more about area of rectangle click :
https://brainly.com/question/15225905
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Write the equation of the parabola in vertex form. The vertex is
(-3,-4) and the parabola passes through The point (-1,0).
Answers
Answer:
y + 4 = (x - h)^2
Step-by-step explanation:
"vertex form" is y - k = a(x - h)^2. Here, the vertex (h, k) is (-3, -4), and so we have:
y + 4 = a(x + 3)^2. To find the coefficient a, substitute -1 for x and 0 for y:
0 + 4 = a(-1 + 3)^2, or
4 = a(2^2). Thus, a = 1, and the desired equation is
y + 4 = (x - h)^2
hurry up plz!! Harry performed an experiment with a standard number cube. He rolled the cube and recorded the results in a frequency table. The frequency table is given below. Find the experimental probability of the cube landing on an even number.
Answers
First find the total frequency
6+7+4+7+6+10=40
Now count up the frequency of ALL EVEN NUMBERS
7+7+10=24
Your answer should then be 24/40
In probability you don’t have to simplify but just in case I’ll leave the simplified answer
3/5
Hope this helped!
Graph the following equations and give the slope. Label and (if not using graph paper) mark axis.
14.x=4
15. y = 2
16, 2x - y = 5
17. y - 1 = =(x + 3)
Answers
Answer:
Step-by-step explanation:
14. x=4
vertical line(no slope) with one coordinate being (4,0)
15. y=2
horizontal line(no slope) with one coordinate being (0,2)
16. 2x-y=5
slope= 2; two coordinates are (0,-5) and (2,-1)
17. y-1=(x+3)
slope= 1; two coordinates are (-4,0) and (0,4)
HOPE THIS HELPS!!! :)
What is the sum of the series *picture attached*
Answers
Answer:
[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]
Step-by-step explanation:
Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]
Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]
[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]
[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]
So, Option C is true
The dollar value y (t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 18,500 (0.84)^t
Find the initial value of the car and the value after 12 years.
Round your answers to the nearest dollar as necessary.
What’s the initial value ? Value after 12 years?
Answers
Answer: Initial Value is 18,500. Value after 12 years is about 2,283
Step-by-step explanation:
The initial value assumes you have just bought the car, which means 0 years have passed. If zero is substituted as an exponent in ANY NUMBER, it equals 1. Therefore, the value is 18,500.
The value after 12 years can be found by substituting 12 in the space of t. Then, use a calculator to approximate the value of 0.84¹² which is equal to about 0.12. DO NOT ROUND, HOWEVER. Then, the previous value is multipled by 18,500, equalling about 2,283.
Apply the Pythagorean Theorem to find the distance between points B and C. A) 18 units B) 55 units C) 64 units D) 73 units
Answers
Answer:
[tex]BC=\sqrt{73}[/tex]
Step-by-step explanation:
Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.
If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.
If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.
Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:
[tex]BC=hyp=\sqrt{8^2+3^2} =\sqrt{64+9} =\sqrt{73}[/tex]
Answer:
the answer is d 73
Step-by-step explanation:
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).
Answers
Answer:
22ft^2
Step-by-step explanation:
I am not sure if this is the correct answer since there were no numbers to the question you wrote out.
Evaluate 3x + 12 when x = 9
Answers
Answer:
The answer is 39.
Step-by-step explanation:
You have to substitute the value of x into the expression :
[tex]3x + 12[/tex]
[tex]let \: x = 9[/tex]
[tex]3(9) + 12 = 27 + 12 = 39[/tex]
Answer:
39
Step-by-step explanation:
To solve your question we must replace x with the given number which is 9 so,
3 (9) +12 =
We can now solve it by multiplying 3 * 9 which will give us 27. Then we can add 27 to 12.
27 + 12 = 39
Hope this helps!!
if the edges of the base of a rectangular prism are 8 cm and 6 cm, and the diagonal is 10√2, what is the volume of the solid?
Answers
Answer:
221.12 cm^3
Step-by-step explanation:
Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex. Doing this will form two triangles. The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm. The base of this triangle is half of the 6" side, or 3 cm.
Use the Pythagorean Theorem to determine the height (h) of the prism:
h^2 + 3^2 = (10√2)^2, or
h^2 = 200-9 = 191
Then the height is √191 cm
and the base area is 6cm times 8 cm, or 48 cm^2
and so we end up with the volume V = (1/3)(base area)(height), or
V = (1/3)(48 cm^2)(√191 cm), or
roughly 221.12 cm^3
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x -4
h(x) = 3
h(x) =
77 X
Answers
This is the same as h(x) = x/4
In decimal form, it would be h(x) = 0.25x
=============================================
Explanation:
Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x
To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x
-----------
Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y
f(x) = 4x
y = 4x
x = 4y
4y = x
y = x/4
h(x) = x/4
We end up with the same result as before.
-----------
Extra info:
For any real number x, the following two equations are true
h( f(x) ) = x
f( h(x) ) = x
this is algebra 1, the answers are on the bottom help please
Answers
Answer:
c. x ≤ 6
Step-by-step explanation:
Well we can tell the line is solid so we can cross out answers,
b.
And it is 6 units to the right where x is less than or equal to 6.
Thus,
the answer is c. x ≤ 6.
Hope this helps :)
Answer:
C
Step-by-step explanation:
x less than or equal to 6
If there had been a dashed vertical line at 6, it would have just been less than
What is the measure of MN?
A. 45
B. 29
C. 74
D. 37
Answers
Answer:
45°
Step-by-step explanation:
There are sets of formulas you can refer to for different situations like this. In your case here, you need to apply the formula and solve for the unknown. My work is in the attachment.
Answer: 45 degrees
Step-by-step explanation:
The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence 2, -6, 18, -54, ...? an = 2 · 3n - 1 an = 2 · (-3)n - 1 an = 3 · 2n - 1 an = -3 · 2n - 1
Answers
Answer:
The second choice
Step-by-step explanation:
So first we would plug in the first term which is 2 so we would get [tex]an=2[/tex] times [tex]rn-1[/tex] so next we would see that the common ration is -3 since every time the number is being multiplied by -3. so then our equation would be [tex]an= 2[/tex] times [tex]-3n-1[/tex]. Now we would just find the choice that matches and it would be the second choice.
Answer:
option 2
Step-by-step explanation:
First term [tex]a_{1} = 2\\[/tex]
common ratio = r = second term ÷ first term
= -6 ÷2 = -4
Plug in the values of [tex]a_{1}[/tex] & r in the formula
[tex]a_{n} = a_{1}*r^{n-1}\\\\\\a_{n}=2 * (-3)^{n-1}[/tex]
How can we solve question 13 algebraically? Will give brainliest + 10 points
Answers
Answer:
The answer is C.
Step-by-step explanation:
First, you have to make expressions for all the flags :
[tex]let \: blue \: flag = x[/tex]
Green flag cost 10 times the price of blue flag,
[tex]green \: flag = 10 \times x = 10x[/tex]
Red flag is half the price of green flag,
[tex]red \: flag = 10x \div 2 = 5x[/tex]
Orange is 10 dollars less than red flag,
[tex]orange \: flag = 5x - 10[/tex]
Assuming that the total cost of all 4 different coloured flags is $200. So you have to solve the value of x :
[tex]x + 10x + 5x + 5x - 10 = 200[/tex]
[tex]21x - 10 = 200[/tex]
[tex]21x = 200 + 10[/tex]
[tex]21x = 210[/tex]
[tex]x = 210 \div 21 = 10 \: dollars[/tex]
Then, you have to substitute the value of x into the expression of orange flag :
[tex]orange flag = 5x - 10[/tex]
[tex]orange flag = 5(10) - 10[/tex]
[tex]orange flag = 50 - 10[/tex]
[tex]orange flag = 40 \: dollars[/tex]
Sandy bought a soft drink for two dollars and five candy bars. She spent
a total of seventeen dollars. How much did each candy bar cost ?
Answers
Answer:
3 dolla
Step-by-step explanation:
The perimeter of an equilateral triangle is 30 cm. Find the length of each side of the triangle.
Answers
Answer:
10 cm
Step-by-step explanation:
The perimeter of a equilateral triangle is
P = 3s where s is the side length
30 = 3s
Divide each side by 3
30/3 = 3s/3
10 = s
Which of the following inequalities matches the graph? (1 point)
x<5
x>5
y<5
y>5
Answers
Answer:
x≤5Step-by-step explanation:
The line is vertical, so it is on x
the line is on x=5
the line is whole so it is less or greater than and equal to
the shaded part is to the left, so it is less than
So, the inequality represented by the graph is x≤5
If a>b and b(b-a)>10, which of the following must be true? I. b<0 II. a<0 III. ab<0
Answers
Answer:
b<0
Step-by-step explanation:
b(b-a)>10
-5=b and -10=a for instance plug in
-5(-5-10)>10
-5(-15)>10 (negative x negative is positive)
75>10
I'm not sure how to do the math for this
Answers
Answer:
156
Step-by-step explanation:
3 ml of compound A used for every 4 ml of compound B in total it's 7 ml
To calculate how many ml of A used in a 364 ml drug we can divide 364 by 7
364 ÷ 7 = 52 which means there are 52, 7 ml in the 364
since 7 ml drug contains 3 ml conpound A there is
52 × 3 = 156 of compound A in the 364 ml drug
What is the slope of the line?
Answers
Answer:
y=-3x+4
Step-by-step explanation:
Use rise/run to find slope. Rise= -3, Run= 1
Y-Intercept is found where the line intersects y.
Answer:
The slope of the line is -3.
Step-by-Step Explanation:
You need to find any two points on the line.
I'll chose (0, 4) and (2, -2).
To find slope, you need to use the formula m = y2 - y1 divided by x2 - x1.
m = y2 - y1 / x2 - x1
m = (-2 - 4) / (2 - 0)
m = -6 / 2
Then you must reduce to lowest terms.
m = -3
(will mark brainliest if correct)
Answers
Answer:
A = 27π
P =
Step-by-step explanation:
Well if it follows the same proportions as a square then the dotted line is 6 cm.
Triangle
So the area of a triangle is b*h / 2
b = 6
h = 6
6*6 = 36
36 / 2 = 18
A = 18cm^2
So to find the missing side or c we do 6^2 + 6^2 = c^2,
36 + 36 = c^2
72 = c^2
≅8
6 + 6 + 8
= 20cm
Half circle
Now the area of a semicircle is,
pi r^2 / 2
So if the diameter is 6 then the radius is 3.
So we do 3*3 = 9
9 * pi = 9π^2
Perimeter: 6π
____________________________________________________________
Thus,
the area is 27π and the perimeter 26π.
Hope this helps :)
In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?
Answers
Answer:
HIG=28°
Step-by-step explanation:
HI is a diameter therefore it's measure is 180°
HI-IG=HG
180-128=HG
52°=HG
HIG=1/2HG
HIG=1/2(56°)
HIG=28°
Rosa’s work finding the median of a set of test scores is shown below.
Which statement best describes Rosa’s first error?
She should have reordered the elements from least to greatest.
She should have added the elements and divided by 9.
She should have counted repeated elements only once.
She should have found the difference between the first and last elements.
Answers
Answer:
She should have reordered the elements from least to greatest.
Step-by-step explanation:
when finding median you need to line up the number from least to greatest or it will not be right
Answer:
It’s A bro
Step-by-step explanation:
Took the quiz on EDG
Use the formula S = 40,000(1.06)' to calculate your salary after 4 years. Round your answer to the nearest dollar.
a. $42,400
b. $44,944
C. $47,641
d. $50,499
Answers
Answer: 50,499
Step-by-step explanation:
Since you are calculating the salary after 4 years, 4 would be the value of T. you then just solve the equation, so because of PEMDAS you plug in 1.06 to the 4th and then multiply it by 40,000, resulting in 50,499.
All you have to do is plug in 4 for the exponent on the calculator andddd you should get 50499.0784
Since it’s asking to round the answer to the nearest dollar then your answer should be $50,499
help me plz i want help
Answers
Answer:
2/9
Step-by-step explanation:
We want blue green in any order. That means BG or GB
There are 9 possibilities
P ( BG or GB ) = number of BG or GB's / total
= 2/9
The surface area of a cube is 302.46 m2. The length of each side of the cube = ______ m. A. 6.7 B. 7.1 C. 50.4 D. not enough information given to solve
Answers
Answer:
B. 7.1 m
Step-by-step explanation:
The surface area of a cube is given by ...
SA = 6s^2
where s represents the side length.
Filling in the given information and solving for s, we have ...
302.46 = 6s^2
s = √(302.46/6) = 7.1 . . . . meters
The length of each side is 7.1 meters.
Answer:
B. 7.1
Step-by-step explanation:
someone please help me on this question
Answers
Answer:
3.5 m
Step-by-step explanation:
Use sine.
1. Set up the equation using sin = opposite / hypotenuse
sin 59 = 3/x
2. Solve
x = 3.5
Points A(–3, –2) and C(4, 5) are the endpoints of a diagonal of a square. Give the coordinates of the other two vertices.
Answers
Answer:
B(4,-9) D(11,-2)
Step-by-step explanation:
9. Find the value of x. Using that value, what is the
measurement of ZUTQ?
thank you <3
Answers
Answer:
92°
Step-by-step explanation:
We know that [tex]\overline{QV}[/tex] is a straight line which means that we know that ∠QTU + ∠VTU = 180
11x+4+∠VTU = 180
∠VTU = 180-11x-4
∠VTU = 176-11x
Then, using the triangle inequality, we know that ∠VTU+∠TUV+∠UVT = 180
3x+14+54+176-11x=180
-8x+244=180
-8x = -64
x=8
Now we can substitute and solve for ∠UTQ
11(8)+4 = 88+4 = 92°
Answer: 92°
Step-by-step explanation: