How to get rid of a square root in the denominator?.
Step-by-step explanation:
you multiply both the top and bottom by the root if it was alone.
let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.
the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is
(sqrt(2) -1)
make sure to ask if you need any further guidance :)
The bus will leave in 38 minutes. what time will it leave ?
Answer:
4:08
Step-by-step explanation:
The current time is 3:30, 38 minutes later would be 4:08
A cube has side lengths of 5 inches. What is the surface area, in square inches of the cube?
Answer:
A=6a2=6·52=150in²
Step-by-step explanation: Can you mark me BRAINLIEST PLEASE
can someone help me out with this question
bh step by step procedure?
Answer:
60°
Step-by-step explanation:
the angle Θ between vectors a and b is
cosΘ = [tex]\frac{a.b}{|a||b|}[/tex] = [tex]\frac{\frac{15}{2} }{3(5)}[/tex] = [tex]\frac{\frac{15}{2} }{15}[/tex] = [tex]\frac{1}{2}[/tex] , then
Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 60°
Answer:
cos θ= 60°
Step-by-step explanation:
cos θ= a . b/।a। ।b।
=15/2/3×5
=15/30
=1/2
cos θ=cos60°
θ=60
what is the shaded part of the digestive (use 3. 14 as estimate for pi)
35 points for right answer
Answer:
Option A
Step-by-step explanation:
Area of shaded region
Square:
Side = 12 m
Area of square = Side *side
= 12 *12
= 144 square m
Circle:
diameter = side of the square
= 12 m
r = 12/2
r = 6 m
Area of circle = πr²
= 3.14 *6 * 6
= 113.04 m²
Area of the shaded part = area of square - area of circle
= 144 - 113.04
= 30.96 m²
Answer:
A
Step-by-step explanation:
it is option A and my answer got deleted…
someone please help me with this problem
Answer:
B
Step-by-step explanation:
x = y²z² ( multiply both sides by y ) , then
xy = y² × y × z² = y³z²
The price of a toy is around £50 and it increased by £65, what percentage did it increase
Answer:
130%
Step-by-step explanation:
65/50 = 1.3
1.3x100 = 130%
In the parallelogram find M
Answer:
110º
Step-by-step explanatio:
6x+20 + 4x+10 = 180
180 - 30= 150
150=10x
10x/150
x = 15
6(15) + 20 = 110
Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target.
We can try for loops along with conditional statements to get the indices of the needed numbers.
What is zero-based indexing?Zero-based indexing indexes the elements of an array or such container starting from 0, instead of starting from 1 (which is what we usually do in real life).
For this case, assuming we want to write code in python, and array being simple list, plus we want the index of only first two numbers found which add up to the target, we have:
for idx_1 in range(len(arr)//2 + 2):
num_1 = arr[idx_1]
found = 0
for idx_2 in range(idx_1 + 1, len(arr)):
num_2 = arr[idx_2]
if target == num_1 + num_2:
print(idx_1, idx_2)
found = 1
break
if found: break
Here we used 'range' function for first loop, which defaulty generates integers from 0, but can generate integers from whatever integer. Like in the second loop, it generates number from idx_1 + 1. Also, it doesn't include the last integer, given by the upper limit for the range.
This python code gives the indices of a pair of two numbers from the array given which adds up to the target.
Thus, we can try for loops along with conditional statements to get the indices of the needed numbers.
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What is the measure of z?
which functions corresponds with the table
Answer:
what table???
Step-by-step explanation:
A student uses the equation tangent theta = startfraction s squared over 49 endfraction to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline theta, where sine theta = one-half. to solve the problem, the student used the given value of sine theta to find the value of tangent theta and then substituted the value of tangent theta in the equation above to solve for s. what is the approximate value of s, the speed of the car in feet per second? 5.3 7.5 9.2 28.3
The approximate value of the speed of the car in feet per second is A. 5.32 ft/s.
How to find the spped?An equation is an expression that shows the relationship between two or more numbers and variables. In this case, tan(θ) = s² / 49
sinθ = 1/2
θ = sin⁻¹ (0.5) = 30⁰
tan(30) = s² / 49
s = 5.32 ft/s
Therefore, the approximate value of the speed of the car in feet per second is 5.32 ft/s.
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the diagram shows a right angled triangle 15cm 37 degrees
Answer:
h = 11.3 cm
use tane rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here:
x = 37°opposite = hadjacent = 15 cm=========
[tex]\hookrightarrow \sf tan(37)= \dfrac{h}{15}[/tex]
[tex]\hookrightarrow \sf h = tan(37) * 15[/tex]
[tex]\hookrightarrow \sf h = 11.3 \ cm[/tex]
Which phrase is a description of 2m+7?
A. 7 more than 2 times m
B. 2 more than 7 times m
C.2 times the sum of 7 and m
D.7 times the sum of 2 and m
Answer:
A
Step-by-step explanation:
7 more than 2 times m =
2m+7
Find the area of each face of the triangular prism and the total surface area.
20 cm
10 cm
6 cm
20 cm
8 cm
Answer:
Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²
Back face: A = (20 cm)(6 cm) = 120 cm²
Sloped face: A = (20 cm)(10 cm) = 200 cm²
Total: 528 cm²
Step-by-step explanation:
Hope this helps!
store pays $50 for a pair of shoes. The markup is 25%.
a. What is the selling price for the shoes?
The selling price is $_
.
Question 2
b. What is the total cost for a person to buy the shoes including a 6% sales tax?
The total cost is $_
.
Answer:
75%
Step-by-step explanation:
Answer:
The selling price is $62.50 And b is is 75%
Step-by-step explanation:
Find x degrees
Circles
Answer:
I'm almost 100% sure of the degrees is 35 or 15
Find the slope of the line.
Simplify completely.
Answer:
slope = 4
Step-by-step explanation:
According to the graphic the line passes through the two points A(-1 , 0) and B(0 , 4)
[tex]\Longrightarrow \text{slope} =\frac{\text{rise} }{\text{run} } = \frac{4 - 0}{0 - (-1)} = \frac{4}{1} = 4[/tex]
Please answer. Correct answer will be brainliest.
Answer:
161
Step-by-step explanation:
It's a system of equations, let's solve it step-by-step!
Equation: [3 * 2^5 + 13 * (-2)] + 7[8 - (4 - 9)]
2^5 = 32
so we have [3 * 32 + 13 * (-2)] + 7[8 - (4 - 9)].
3 * 32 = 96
so we have [96 + 13 * (-2)] + 7[8 - (4 - 9)].
13 * (-2) = -26
so we have [96 - 26] + 7[8 - (4 - 9)].
96 - 26 = 70
so we have 70 + 7[8 - (4 - 9)].
4 - 9 = -5
so we have 70 + 7[8 - (-5)].
8 - (-5) = 13 (the signs cancel out)
so we have 70 + 7[13].
7 * 13 = 91
so we have 70 + 91.
70 + 91 = 161
Therefore our answer is 161.
HELP PLEASE. Question is in the file attached
Answer:
A
Step-by-step explanation:
a. 4350 * 0.25 = 1087.50, food + transportation = 500 + 150 = 650, 650<1087.50, correct
b. 4350*0.5=2175, 1600 doesnt equal 2175, wrong
c. 4350 * 0.2 = 870, 500<870, wrong
d. 200<1087.50, wrong
A bus travels 25 yards in 1 second. How many miles will it travel in 2 hours?
Answer:
102 miles
Step-by-step explanation:
In 2 hours there are 7200 seconds ([tex]60*60 = 3600 * 2 = 7200[/tex])
In one second the bus travels 25 yards, so; [tex]7200 * 25 = 180,000 yards[/tex]
Converting yards to miles is: [tex]x (yards) / 1760[/tex]
[tex]180000/1760 = 102.2727272...[/tex]
∴ The bus will travel 102 miles in 2 hours.
Rebecca and Jago are proving the Pythagorean Theorem for a triangle. They arrange four congruent right triangles with sides
r
,
s
,
and
t
in the shape of a square, as shown.
Which equation could Rebecca and Jago use in their proof?
I'm sure the answer is B if it's not B it's A trust
WILL GIVE BRAINLIEST (08.03) Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answer:
(- 2, - 3 )
Step-by-step explanation:
y = 3x + 3 → (1)
y = x - 1 → (2)
substitute y = 3x + 3 into (2)
3x + 3 = x - 1 ( subtract x from both sides )
2x + 3 = - 1 ( subtract 3 from both sides )
2x = - 4 ( divide both sides by 2 )
x = - 2
substitute x = - 2 into either of the 2 equations and evaluate for y
substituting into (2)
y = - 2 - 1 = - 3
solution is (- 2, - 3 )
Answer:
y = -3, x = -2
Step-by-step explanation:
1. Substitute "y = x - 1" in for y in the first equation:
x - 1 = 3x + 3
2. Isolate x:
x = 3x + 3 + 1
3. Combine like terms:
-2x = 4
4. Solve for x:
-2x/-2 = 4/-2
x = -2
5. Solve for y with substitution (using the second equation):
y = -2 - 1
y = -3
hope this helps!
The radius of a circle is 7 m. Find its circumference in terms of
π
π.
[tex]circumference = 2 \times \pi \times r[/tex]
[tex]circumference = 2 \times \pi \times 7[/tex]
[tex]circumference = 14\pi[/tex]
Answer:
14π
Step-by-step explanation:
Given:
Radius of circle = 7 mTo determine the circumference of the circle, we need to use the formula 2πr, where "r" represents the radius of the circle.
Substitute the radius in the formula:
[tex]\implies 2\pi (r) = \text{Circumference}[/tex]
[tex]\implies 2\pi (7) = \text{Circumference}[/tex]
Simplify the circumference:
[tex]\implies 2\pi (7) = \text{Circumference}[/tex]
[tex]\implies 14\pi = \text{Circumference}[/tex]
Thus, the circumference is 14π.
Find the area of the figure
Step-by-step explanation:
its a square from which a semi circle of radius of 3ft is cut
area of square = 6*6 = 36 ft^2
area of semi circle = π 9 ft^2
total area = 36 - 9π = 7.72 Ft^2
The box-and-whisker plot below represents some data set. What is the value of the
lower quartile?
48
50
52
54
56
58
60
62
Answer:
53
Step-by-step explanation:
PLEASE HURRY
Which graph shows the solution set for 2x+3 >-9?
-8-7-6-54-3-2-1012
+
-8-76-54-3-2-1012
-87-6-5-4-3-2-1012
-87-6-5-4
9
9
-1 0 1 2
The graph that represents the solution set for x > -6 is Graph D.
What is Number line?In mathematics, a number line is a straight line that represents numbers and their relative positions. It is a visual representation of the real number system.
To find the solution set for the inequality 2x + 3 > -9,
2x + 3 > -9
Subtract 3 from both sides:
2x > -12
Divide both sides by 2:
x > -6
The solution set for the inequality is x > -6, which means that x is greater than -6.
So, Among the given graphs, the graph that represents the solution set for x > -6 is Graph D.
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HELP ME!! I'LL GIVE BRAINLYIEST!!
What is b and the linear equation?
Which graph is defined by the function given below?
y= (x + 2)(x + 7)
Answer:
Graph A
Step-by-step explanation:
How do I do this question????
Answer:
I've attached the picture below completed with plotting (red marker used).
hope that helps...
hope this helps!!!!
have a good day :D