In ΔQRS, the measure of ∠S=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
57.6°
Step-by-step explanation:
It is always helpful to draw a picture. Also, you need to memorize all the definitions of the trig functions. For example,
sine of an angle = opposite side/hypotenuse
In your case, SQ is opposite side to angle R and QR is the hypotenuse
Therefore, sin R = 6.5/7.7
m∠R = arcsin (6.5/7.7) = 57.6°
Brian invests £990 into his bank account. He receives 2.6% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£1067.22
Step-by-step explanation:
A = P(1 + rt)
A = £990(1 + 0.026*3)
A = £1067.22
Mark brainliest if this helped!
Mark brainliest if this helped!
Which one is it ? I need help
1. 60
2. 55
3. 65
4. 180
Answer:
55
Explanation:
State if the three numbers can be the measures of the sides of a triangle.
689
No or Yes
Answer:
Yes
Step-by-step explanation:
6 + 8 = 14 which is bigger than 9 so it is possible
If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible
A hopper contains 20 ping-pong balls. There are 6 red, 4 white, 3 green, 2 yellow,
and 5 blue ping-pong balls. Rounded to the nearest thousandth, what is the
probability of drawing a red ball then a blue ball without replacement?
.079
.075
.090
.045
Answer:
0.079 would be the correct answer
Step-by-step explanation:
you just do 3/10 x 5/19 and then you get the answer
Haley borrows 1000 dollars from her bank.She will pay the loan at a simple annual interest rate of 4% over 4 years.How much will she pay back altogether
Answer:
1160
Step-by-step explanation:
1000×4/100% ×4=160
add the1000+160 since they have asked altogether=1160/=
Find the mean of the data.
9, 16, 13, 14, 10, 16 , 17, 9
Thanks! Will mark brainly!
Answer:
13
Step-by-step explanation:
The mean of the data is also known as the average. To find the mean/average, add up all the data and divide it by the number of inputs recorded.
9 + 16 + 13 + 14 + 10 + 16 + 17 + 9 = 104
There are 8 terms.
104 / 8 = 13
The mean is 13.
Hope this helps!
What is the area of the figure below?
3 in.
3 in.
5 in.
5 in.
3 in.
3 in.
7 in.
Answer:
68 inches squared
Step-by-step explanation:
First, let's find the area of the squares at the top and bottom. Area for a square is:
L * W = A
Plug in the values...
3 * 3 = 9
Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:
7 (total width) - 3 (middle width) / 2 (because there are two sides)
So it is:
(7 - 3)/2
4/2 = 2
So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:
(B * H)/2 = A
Fill it in...
(2 * 5)/2
10/2 = 5 inches
So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:
5 * 4 = 20 inches
That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...
L * W = A
10 * 3 = 30
So, that means that the area of the hexagon is:
30 + 20 = 50
Plus, the two squares from the beginning:
50 + 18 = 68 inches squared
Therefore, the area of the figure is 68 inches. Hope this helps you!
Solve for x. Show all your steps/work.
(¼)x + 1 = 22x
It wants me to find m∠2 from this
Answer:
Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
This is a kite.
The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.
m∠2=90°
Hope I helped.
8 ( x + 4) = 62. 4. x = _____
Answer: 0.05
Step-by-step explanation: Ur welcome
Step-by-step explanation:
8×x+8×4=62.4.x=_
8x+32=62.4.x=_
8x=62.4-32
8x=30.4
x=30.4:8
x=3.8
The first three terms of a geometric sequence are as follows.
2, -10, 50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answer:
-250, 1250
Step-by-step explanation:
The pattern is to multiply by -5.
2,-10, 50, -250, 1250
Which list orders the numbers from least to greatest
Write the equation of the line that passes through (-4, 3) and is perpendicular to the line y = 7/5x-2/5
Answer:
y - 3 = (-5/7)(x + 4)
Step-by-step explanation:
The given line, y = 7/5x-2/5, has a slope of 7/5. Any line perpendicular to this one must have a slope tht is the negative reciprocal of 7/5, which is -5/7.
Use the point-slope formula to come up with an equation for this new line:
y - 3 = (-5/7)(x + 4)
find the area of the shape
Answer:
Step-by-step explanation:
Answer:
=> 1/4 * [tex]\pi r^{2}[/tex]
=> 1/4 * 3.14 * 4
=> 3.14
Answer = 3.14
Please mark my answer as the brainliest for further answers :)Please solve no need for explanation
Answer:
I am not sure
Step-by-step explanation:
But I think I know
Answer:
Step-by-step explanation:
n=0
w=3120
i=[tex]\sqrt 2[/tex]
q=[tex]\frac{-6}{7}[/tex]
r=5.123456...
Find the area of the largest square contained by a circle of radius r = 1cm. Explain your answer and justify that it is correct. Hint: Use the pythagorean theorem.
Answer:
2 square cm
Step-by-step explanation:
Given :
A square is inscribed in a circle whose radius is r = 1 cm
Therefore, the diameter of the circle is 2 r = 2 x 1
= 2 cm.
So the diagonal of the square is 2r.
Using the Pythagoras theorem, we find each of the side of the triangle is [tex]$r \sqrt 2$[/tex].
Therefore, the area of the square is given by [tex]$\text{(side)}^2$[/tex]
= [tex]$(r\sqrt 2)^2$[/tex]
[tex]$= 2 r^2$[/tex]
[tex]$= 2 (1)^2$[/tex]
[tex]$=2 \ cm^2$[/tex]
Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.
How do I calculate the volume of this prism?
A bird flying at an elevation of 110 ft swoops down to grab a mouse on top of a 3 foot tall rock. What is the change in the birds elevation?
Answer:
Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock
Step-by-step explanation:
Given
The level of mouse from the ground is [tex]3[/tex] foot as it is on the top of a [tex]3[/tex] foot tall rock.
The level of bird at which it is flying from the ground is [tex]110[/tex] feet
Change in elevation when the bird swoops down to grab the mouse
[tex]= 110 -3\\= 107[/tex]feet
Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock
5/7 x 9/10
please show your work and the answer has to be a simplified fraction . thanks :)
Answer:
Step-by-step explanation:
5/7 x 9/10
=5/7 9/5 X 2
=1/7 X 9/2
=1 X 9/ 7 X 2
=9/ 7 X 2
=9/14
The expression 5/7 x 9/10, is equivalent to 9/14.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
5/7 x 9/10
Given is -
5/7 x 9/10
1/7 x 9/2
9/14
Therefore, the expression 5/7 x 9/10, is equivalent to 9/14.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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Caleb earns points on his credit card that he uses toward future puchases. He earns four points per dollar spent on flights, two points per dollar spent at hotels,and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.
Answer:
Let f = dollars spent on flights, h dollars spent on hotels, and p dollars spent on all other purchases.
Step-by-step explanation:
40 points!
You are framing a picture with a frame of equal width on each side.
a. Write a polynomial that represents the area of the picture including the frame
b. Find the area of the picture including the frame when the width of the frame is 2 inches
Answer:
Part A)
The polynomial is:
[tex]A=4(x+8)(x+10)[/tex]
Or, expanded:
[tex]A=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.
Step-by-step explanation:
Part A)
For solely the picture, the width is 16 inches, and the length is 20 inches.
If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.
Likewise, the new length will be (20 + 2x) inches.
The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:
[tex]A=(16+2x)(20+2x)[/tex]
To simplify calculations, we can factor out a two from both factors. Thus:
[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]
Expanded, this will be:
[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two, x = 2. Then the area is:
[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]
The area of the picture including the frame will be 480 square inches.
whats the area of the shaded region
Answer:
36 meter square
Please mark my answer as brainliest for further answers:)
help me plss im beeging
Answer:
1. x = 12
2. x= 9
3.x = 14
4.x=18
Step-by-step explanation:
-5x - 5 > 15 solve this inequality
Answer:
-5×-5>15
+5 +5
-5×>20
÷-5 ÷-5
x<-4
whe you divide by a negativr you flip the sign
Solve the following
5x20
Answer:
100
Step-by-step explanation:
1
20
X 5
100
Plz Help I neeed to know
What is 2+2?
Answer:
4
Step-by-step explanation:
Answer:
You see the theoretical answer would be 4 but have you ever considered it to be a watermelon????
Step-by-step explanation:
With the 2 numbers added up its 2 fingers plus 2 fingers. Which is 4. BUT
Its 4 not a watermelon
Which expression is equivalent to (3^2)^4⋅(3^4)?
Answer:
i am confused on what you are asking but if you explain it i would love to help
Step-by-step explanation:
(6,3); (1,4)
Slope
Giving brainless answer
Answer:
-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5
Step-by-step explanation:
Q. factorize by regrouping the expression
xy-2x+3y-6
Answer:
xy-2x+3y-6
(xy-2x) (3y-6)
x(y-2) 3(y-2)
(x+3) (y-2)
hope this answer helps you.....