Answer:
6 1/6 ft
Step-by-step explanation:
12 inches = 1 ft
So 2 inches is 2/12 of a foot
2/12 = 1/6
6 ft 2 inches = 6 1/6 ft
2)If triangle RPQ is a right angled triangle at Q. If PQ = 5cm and RQ = 10 cm,find (i) sin ^2 P (ii) cos ^2 R and tan R (iii) sin P X cos P (iV) sin ^2 P –cos ^2p
Answer: (i) 1 (ii) 3/4 , √3/3 (iii) 0 (iv) 1
Step-by-step explanation:
ΔRPQ is 1 30°-60°-90° triangle because RQ = 2PQ , where
∠R = 30°∠P = 90°∠Q = 60°(i) sin² (90°) = 1² = 1
[tex]\text{(ii)}\ \cos ^2(30^o)= \bigg(\dfrac{\sqrt3}{2}\bigg)^2=\dfrac{3}{4}[/tex]
[tex].\quad \tan (30^o)=\dfrac{1}{\sqrt3}\bigg=\dfrac{\sqrt3}{3}[/tex]
(iii) sin (90°) × cos (90°) = 1 × 0 = 0
(iv) sin² (90°) - cos² (90°) = 1² - 0² = 1
Can somebody help me with this ?? :)
Answer:
B.
Step-by-step explanation:
ABC ≅ XYZ
∠A≅∠X
∠B≅∠Y
∠C≅∠Z
Also, should be
AB =XY
BC=YZ
CA=ZX
By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.
Answer B.
I NEED HELP PLEASE, THANKS! :)
Answer: b) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
Step-by-step explanation:
Graph the equation and the follow the curve from left to right. When you are going up, it is increasing. When you are going down, it is decreasing.
see the image below. Red is increasing. Blue is decreasing.
The vertices occur when x = -4/3 and x = 4/3
At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays both a string and a brass instrument?
Answer:
0.09
Step-by-step explanation:
Total = 35+5+10+5 = 55
P(string&brass) = 5/55
= 1/11 = 0.09090909
Please answer within 5 minutes for brainliest!!!!
Answer:
y=4x-9
Step-by-step explanation:
The surface area of a sphere with a diameter of 12 units is:
Answer:
Surface area of sphere = 4πr²
r = radius
radius = diameter /2
= 12/2
= 6units
Surface area = 4π×6²
= 144π
= 452.4 square units
Hope this helps.
HELP ITS ABOUT TRIANGLESSSS. Image is attached Explanation neede plzzz
Answer:
D.
Step-by-step explanation:
So angle 2 = 180 - angle 1
Angle 1 = angle 3 + angle 4.
Angle 2 = 180 - angle 3 - angle 4
So, you can come to the conclusion that (angle 1 + angle 2) = 180°
and (angle 3 + angle 4 + angle 2) = 180°
what is a graph that has a limited number of data point
Answer:
Line Graph
Step-by-step explanation:
A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.
What is the product?
1
12
64
2
78
30
6
32
78 30
6
64
78 30
6
32
39
15
6
64
39 30
Answer:
9.3526131e+34
Step-by-step explanation:
112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34
Answer:
Answer:
9.3526131e+34
Step-by-step explanation:
112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34
Mr Frank purchased 5_1/4 pounds of rocks. He used 3/5 of a pound on one aquarium. He then split the rest of the rocks between his three remaining aquariums. How many rocks will be in one aquarium?
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
-5(x - 1) = 2x - 7x + 5
Answer:
This is true! 1x=1
Step-by-step explanation:
So let's rewrite the question again.
-5(x - 1) = 2x - 7x + 5
So we will solve from left to right.
-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.
-5(x - 1) = -5x+5
2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.
2x - 7x + 5 = -5x+5
Now, here is the equation that we have so far.
-5x+5 = -5x+5
+5x +5x
----------------------
5=5
-5 -5
0=0
So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:
All Real Numbers
An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here is the graph: Time (years): 0, 1, 2, 3 Value (dollars): 20000, 18000, 16200, 14580
Answer:
D
Step-by-step explanation:
A is not right as we don't know the formula used so we cant say the x intercept
B is not right as the function is not liner
C The function is not liner
That leaves D!
hope this helps!
Answer:
D
Step-by-step explanation:
8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5
Step-by-step explanation:
8-4(-x + 5)
8 + 4x - 20
4x - 12
PLEEEEEEEEEEEASE HELP
The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)?
Step-by-step explanation:
5f
5 + n times of a number
A bag contains green yellow and orange marbles the ratio of green marble to yellow marble is 2 : 5 the ratio of yellow arbles to orange marbles is 3 : 4 what is the ratio of green marbles two orange marbles
Answer:
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Step-by-step explanation:
Let G, Y and O represent green, yellow and orange marbles respectively.
Given;
the ratio of green marble to yellow marble is 2 : 5
G:Y = 2:5
G/Y = 2/5
the ratio of yellow arbles to orange marbles is 3 : 4
Y:O = 3:4
Y/O = 3/4
the ratio of green marbles to orange marbles G:O;
G/O = G/Y × Y/O
Substituting the values;
G/O = 2/5 × 3/4
G/O = 3/10
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
The graphs show the distances traveled by two cars moving at constant rates which unit rate matches these 2 graphs pls helpppp
Answer:
i think is (0.5,25)
Step-by-step explanation:
becuse at the time they have the same speed
Answer:
z
Step-by-step explanation:
z
Sylvie finds the solution to the system of equations by graphing.
y =2/3x + 1 and y = -2/3x-1. Which graph shows the solution to Sylvie's system of equations?
Answer:
The third graph is your answer.
Step-by-step explanation:
I included a graph below with the correct graphing.
Grace wants to attend University of Oklahoma. One year at University of Oklahoma costs approximately $20,000. She currently has $4,000 in savings. Grace has received a one-time grant of $1,000 and an annual academic scholarship for $4,000. She plans to enroll in the work study program that will pay $9,000 annually for part-time work. How much will Grace need to borrow in student loans in order to attend University of Oklahoma for 4 years?
Answer:
Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.
Step-by-step explanation:
Cost for one year at University of Oklahoma = $20,000
Cost for 4 years = 4 × $20,000 = $80,000
Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000
Amount she needs to borrow = $80,000 - $57,000 = $23,000
ASAP HELP Which equation is equivalent to: 3r=90−5 ?
A. 3r+5=90
B. −3r=−90−5
C. −3r=90+5
D. 3r=90+5
Answer:
The answer is A.
This is because adding 5 to both sides of the original equation gives us A.
An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90
The correct answer is an option (A)
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is equivalent equations?"The equations that have the same answer or solution."
For given question,
We have been given an equation 3r = 90 - 5
We know that the addition property of equality which states that when the same quantity is added to both sides of an equation, the equation does not change.
⇒ 3r = 90 - 5
Add 5 on the both the sides of the equations.
⇒ 3r + 5 = 90 - 5 + 5
⇒ 3r + 5 = 90 + 0
⇒ 3r + 5 = 90
Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90
The correct answer is an option (A)
Learn more about equation here:
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find the surface area of sphere please help me i’ll give u brainlest
Answer:
[tex]Surface Area = 84.9 cm^2[/tex]
Step-by-step explanation:
Surface Area = [tex]4\pi r^2[/tex]
Putting r = 2.6 cm
SA = 4(3.14)(2.6)²
SA = 4(3.14)(5.76)
SA = 84.9 cm²
Answer:
[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]
Points C, D, and G lie on plane X. Points E and Flie on
plane Y
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
X
B
There is exactly one plane that contains points E, F,
and B.
A
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and
E
Answer:2nd, 3rd and 4th
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
X2-16x + 28
O A. x+7
O B. x2 + 7
O c. x+4
O D. X-14
Answer:
x-14
Step-by-step explanation:
The binomial which is a factor of this trinomial is (x- 14).
What is Trinomial?An algebraic expression with three terms is called a trinomial.
Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.
Given:
p(x) = x²-16x + 28
If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.
factorizing p(x)
x²-16x + 28
= x²-14x + 2x + 28
= x( x- 14) + 2 (x+ 14)
= (x- 14)(x+ 2)
Hence, the binomial is (x- 14).
Learn more about Trinomial here:
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Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answer:
Translation
Step-by-step explanation:
Answer:
D. Rotation then translation
Step-by-step explanation:
Angela is following this recipe to make biscuits.
Angela uses 1.8 l of syrup.
How much margarine is needed in kg?
Recipe: Makes 10 biscuits
150 g margarine
180 g sugar
225 ml syrup
225 g oats
40 g sultanas
Asapppp
Answer : The amount of margarine needed is 1 kg.
Step-by-step explanation :
First we have to convert volume of syrup from mL to L.
Conversion used:
1 L = 1000 mL
or, 1 mL = 0.001 L
So, 225 mL = 0.225 L
Now we have to calculate the amount of margarine needed.
As, 0.225 L of syrup needed 150 g of margarine
So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine
Amount of margarine needed = 1000 g = 1 kg (1 kg = 1000 g)
Therefore, the amount of margarine needed is 1 kg.
What is the decimal multiplier to decrease by 1.7%?
Answer:
0.983
Step-by-step explanation:
100(0.983)=98.3
Answer:
[tex]0.983[/tex]
Step-by-step explanation:
[tex]\frac{100-17/10}{100}[/tex]
[tex]\frac{100-1.7}{100}[/tex]
[tex]=0.983[/tex]
What is the distance on a Cartesian coordinate plane from (1, -1) to (7, 7)?
Answer:
10
Step-by-step explanation:
Use the distacne forumla to find the differnece between the two points.
12:13:14 = 48:x:56
What is x?
Answer:
x = 52
Step-by-step explanation:
You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52
5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?
Answer:
63 cm
Step-by-step explanation:
piece 1: x
piece 2: x - 18
First you would subtract 2x - 18 = 108
Second you would add 108 + 18 = 2x
Third you would divide 126 divided by 2x = 63
So that would mean x = 63
Answer:
63cm
Step-by-step explanation:
2 pieces of rope, and one is shorter by 18cm.
piece 1: x
piece 2: x-18
Add the equations together, combine both pieces
2x-18
2x-18 = 108
108+18 = 2x
126 = 2x
x = 63
Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Answer:
D
Step-by-step explanation:
When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.
Answer:
D.) 16
Step-by-step explanation:
Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
En comsumo combustible de u camion durante un dia de viaje es el 21,77 litros ,el consumo del siguiente dia es de 15,22 litros¡cuanto combustible consumio el camion en total
Answer:
36.99 litros de combustible.
Step-by-step explanation:
En este problema debemos calcular el combustible total de consumió el camión, para eso debemos sumar el valor que consumió el día 1 más el valor que consumió el día 2, de la siguiente manera:
Consumo total = Consumo día 1 + Consumo día 2
Consumo total = 21.77 + 15.22
Consumo total = 36.99
Es decir que el consumo total del camión es de 36.99 litros de combustible.