Answer:
[tex]$ \frac{\text{13}}{\text{85}} $[/tex]
Step-by-step explanation:
Given :
ΔRST is a right angled triangle with right angle at ∠RTS.
RT = 13, SR = 85 and TS = 84
We are required to find the ratio that represents the sine of angle RST.
Therefore, using trigonometric ratios, we know that :
[tex]$\sin \angle RST = \frac{\text{perpendicular}}{\text{hypothenuse}} $[/tex]
[tex]$\sin \angle RST = \frac{\text{RT}}{\text{RS}} $[/tex]
[tex]$\sin \angle RST = \frac{\text{13}}{\text{85}} $[/tex]
Therefore, the ratio that represents the sine of of ∠S is [tex]$ \frac{\text{13}}{\text{85}} $[/tex] .
In a scale drawing of a house, 1/2 inch = 1 1/2 feet. If the length of a kitchen is 5 1/2 inches on a scale drawing, what is the actual length of the kitchen?
Answer:
16 1/2 feet
Step-by-step explanation:
The above question is calculated as:
1/2 inch = 1 1/2 feet.
5 1/2 inches = x
Cross Multiply
1/2 inch × x = 5 1/2 inch × 1 1/2 feet
x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch
x = 11/2 × 3/2 ÷ 1/2
x = 11/2 × 3/2 × 2/1
x = 33/2 feet
x = 16 1/2 feet
Therefore, the actual length of the kitchen is 16 1/2 feet
Candy is creating balloon arrangements for a party . She has 32 red balloons , 24 white balloons and 16 orange balloons. She wants to make each arrangement with the same number of balloons for each colour . What Is the greatest number of arrangements that can be made by her if each balloon is used ?
Answer:
16
Step-by-step explanation:
Can someone help me please
it's sideways take a better pic
Suppose you have budgeted for 3 expenditures, $100, $150 and $50. However the amount that you have spent is $95, $175 and $20. Did you spend more or less than what was budgeted? By how much? (Show Your Work)
Answer:
Spent less than budget by $10
Step-by-step explanation:
→ Work out total budget
100 + 150 + 50 = 300
→ Work out total expenditure
95 + 175 + 20 = 290
What is the value of X?
Answer:
16
Step-by-step explanation:
AB = BC
32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]
Sally's math grade average went from an 84 to a 98. What was the percent of increase in her grade average?
A. 14% B. 14 2/7% C. 16 2/3% D. 22%
Please answer with clear explanation not just the answer please
Answer:
98 - 84 = 14(this is the change) now we convert this to a percent
14/1 x 100/100 = 14%
What is the solution to the equation. |x- 4| = 17?
A. x= -13 or x= 21
B. x= 21
c. x= -21 or x= 13
D. No solutions exist.
Hamdan bought a TV for 40000 and sold it for 32000. What is the profit/loss percentage
Answer:
20% loss
Step-by-step explanation:
(32000-40000)/40000 * 100 = -20%
Answer:
Step-by-step explanation:
CP of a TV=40000
Sp of a TV=32000
here CP is greater than Sp so there is loss
loss=CP-SP
=40000-32000
=8000
loss%=loss amount/cp*100%
=8000/40000*100
=800000/40000
=20%
B = P + Prz solve for r
Answer:
(B-P) / Pz = r
Step-by-step explanation:
B = P + Prz
Subtract P from each side
B-P = P -PPrz
B-P = Prz
Divide each side by Pz
(B-P) / Pr = Prz/Pz
(B-P) / Pz = r
Help me with this please
Find the value of x
I give you 10 points if you help
Step-by-step explanation:
x = 55
I hope this is helpful
Tiffany withdrew $20 on fourteen different occasions from her bank account. After the fourteen transactions, what integer represents the change to her bank account balance?
Answer:
$-280
Step-by-step explanation:
Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.
total change in balance = 20 x 14 = 280
because it is a withdrawal, a negative sign would be attached
Answer: -280
Step-by-step explanation:
If −15 + 3x = −7 + 5x, then 6x =_____?
Answer:
-15+3x=-7+5x
-15+7=5x-3x
-8=2x
-8/2=x
-4=x
6x=6*-4
=-24
Step-by-step explanation:
Answer:
[tex] - 15 + 3x = - 7 + 5x \\ 3x - 5x = - 7 + 15 \\ - 2x = + 8 \\ - x = 4 \\ x = - 4 \\ therefore = \\ 6x = 6 \times ( - 4) \\ 6x = - 24 \\ i \: hope \: this \: was \: helpful[/tex]
Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given
There are 9 chips numbered 1 to 9 placed in a box
Margie selected one chip from the box
If the chip is multiple of 3 then the chip can be 3, 6, or 9
So, the probability associated with this is
[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]
An aquarium is 8 feet long, 5 feet wide, and 3.4 feet deep. What is the volume of the tank?
Answer:8x5x3.4= 132 feet squared
Step-by-step explanation:
Assume the selling price of your house calculate the
commission amount of your house if the commission rate
is 5•/•
Answer:
$14000
Step-by-step explanation:
Given that :
Commission 5% of sale price
Sale price of house = $280,000
Commission = 5% of $280,000
Hence,
Commission = 0.05 * $280,000
Commission = $14,000
What percent of 3/4 is 3/8 ? (Round to the nearest whole percent)
I think the answer is 2 percent
hope this is answer
Solve the rational equation:
9/x + 1/4 =2/x
Answer:
D, x=-28
Step-by-step explanation:
Answer:
[tex]x=-28[/tex]
Step-by-step explanation:
[tex]\frac{9}{x} +\frac{1}{4} =\frac{2}{x}\\[/tex]
Move [tex]\frac{9}{x}[/tex] over the equal sign
[tex]\frac{1}{4} =\frac{2}{x} -\frac{9}{x}[/tex]
[tex]\frac{1}{4} =\frac{-7}{x}[/tex]
Cross multiply
[tex]4*-7/x[/tex]
[tex]\frac{-28}{x}[/tex]
[tex]x=-28[/tex]
Hope this is helpful
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
Step-by-step explanation:
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
2.
Which of the quadratic functions has the narrowest graph?
A. [tex]y=\frac{1}{8}x^2[/tex]
B. [tex]y=\frac{1}{3}x^2[/tex]
C. y = –2x2
D. y = –3x2
Answer:
D. y = –3x2
Step-by-step explanation:
Answer:
y = -3x^2
Step-by-step explanation:
A quadratic function has a leading coefficient which determines its width. When |a| < 1 the graph is wider. When |a| > 1 the graph is narrower. This means y = -3x^2 is the narrowest graph since 3 is the greatest.
Answer:
[tex]C)~y=-3x^2[/tex]---------------------
hope it helps...
have a great day!!
The dot plot shows how many cats are owned by each person in a neighborhood: Dot plot titled Neighborhood Cats and labeled Number of Cats shows number line from 1 to 10. There are 6 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, 0 dots over 5, 6, 7, 8, and 9, and 1 dot over 10. Is the median or the mean a better measure of center for these data and why
Answer:
Median, because the data are skewed and there is an outlier
Step-by-step explanation:
yo hoped it helped
Graph the system of equations, and determine the solution.
x+5y=5
2x+10y=60
Step-by-step explanation:
the systems have no solution
the lines are parallel each other
graph as attached
someone pls help me
PLEASE HELP!!! find the value of x. if necessary, write your answer in simplest radical form
Answer:
[tex]\sqrt{80}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
8^2+x^2=12^2
64+x^2=144
x^2=80
[tex]\sqrt{80}[/tex]
Step-by-step explanation:
using Pythagorean theorema²+b²=c²12 hypotenuse and let us say 8 is the 'a'
=> 8²+x²=12²=>64+x²=144
=>x²=144–64
=>√x²=√80
=>x=4√5
What are the coordinates of the point on the directed line segment from (-3, -2) to (4, 8) that partitions the segment into a ratio of 3:2?
Answer:
Since the ratio is 3:2, you will need to find the x and y coordinates that are 3/5 of the way between (-8,2) and (7,-3)
For the x-coordinate, find the distance between x coordinates (7--8) = 15, take 3/5 of that = 9 and add that to the first x coordinate (-8) to get the x-coordinate of interest (1).
For the y-coordinate, find the distance between y coordinates (-3-2) = -5 take 3/5 of that = -3 and add that to the first y coordinate (2) to get the y-coordinate of interest (-1
So the coordinate of the point is (-2,6)
Step-by-step explanation:
someone help me it's due today
Answer:
y=2x+6
Step-by-step explanation:
y=2x+6 you are welcome!!
A cylinder has a radius of 6 m and a height of 11 m.
What is the approximate surface area of the cylinder
Answer:
https://www.calculatorsoup.com/calculators/geometry-solids/
use that webiste it will answer your problem
Step-by-step explanation:
Answer: 640.6m^2
Step-by-step explanation:
Which of the following is the graph of the inequality y < 3x+ 1?
А
B
C
D
5
To (1.4)
(1.4)
(1.4)
5
(1.4)
(0.1)
(0.1)
€ (0, 1)
(0, 1)
-6
5
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Which number sentence can be solved using this multiplication fact?
Answer:
The girl bought 5 apples, how many apples does she have after 6 times
(Did you mean to put as the multiplication fact 5x6=30?) sorry if I'm wrong
Step-by-step explanation:
Hope this helps.
Please mark Brainliest!
30 Points I NEED HELP ASAP MATH PROBLEM 7th Grade
Answer:
-45 =x
Step-by-step explanation:
1/5(4x-2.5) = 5(.4x+10) +3 1/2
Change all to decimal form
.2(4x-2.5) = 5(.4x+10) +3.5
Distribute
.8x - .5 = 2x +50 + 3.5
Combine like terms
.8x - .5 = 2x +53.5
Subtract .8x from each side
.8x-.8x - .5 = 2x-.8x +53.5
-.5 = 1.2x +53.5
Subtract 53.5 from each side
-.5 -53.5 = 1.2x +53.5-53.5
-54 = 1.2x
Divide each side by 1.2
-54/1.2 = 1.2x /1.2
-45 =x