Answer:
1/5 1 2
Step-by-step explanation:
Can I get help please..................
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?
Answer:
27/20
Step-by-step explanation:
¾ + ³/5= 27/20. .......................
7.
Find all solutions to the following triangle. (Round your answers for angles A, C, A', and to the nearest minute. Round your answers for sides a and a'to two decimal places. If either triangle is not
possible, enter NONE In each corresponding answer blank.)
B = 65° 20', b = 5.38 inches, c = 4.88 inches
First triangle (assume C greater than or equal to 90°):
A= ____ degrees ____’
C=____ degrees ____’
a= ____ in
The measures of the angles and the lengths of the sides of the triangle can
be found using sine rule.
The correct responses are;
A = 59 degrees 9'C = Nonea = 5.083 in.Reasons:
The given parameter are;
∠B = 65°20', b = 5.38 inches, c = 4.88 inches
∠C ≥ 90°
By sine rule, we have;
[tex]\dfrac{5.38}{sin(65^{\circ} 20')} = \mathbf{ \dfrac{4.88}{sin(\angle C)}}[/tex]
[tex]sin(\angle C) = \mathbf{ \dfrac{sin(65^{\circ} 20') \times 4.88}{5.38}}[/tex]
[tex]\angle C = arcsin \left(\dfrac{sin(65^{\circ} 20') \times 4.88}{5.38} \right) \approx \mathbf{ 55.517 ^{\circ}}[/tex]
∠C = 55.517° < 90°, therefore, the correct response is; None
[tex]\dfrac{sin(65^{\circ} 20')}{5.38} = \dfrac{4.88}{sin(\angle C)}[/tex]
∠A = 180° - 65°20' - 55.517° = 59.15° = 59°9'
∠A = 59°9'
Therefore;
[tex]\dfrac{5.38}{sin(65^{\circ} 20')} = \mathbf{ \dfrac{a}{sin(59.15^{})}}[/tex]
[tex]a = \dfrac{5.38 \times sin(59.15^{\circ}) }{sin(65^{\circ} 20')} \approx \mathbf{ 5.083}[/tex]
a ≈ 5.083 inches
Learn more here:
https://brainly.com/question/15018190
find the value of x in 7/8=49/x
Step-by-step explanation:
,
[tex] \frac{7}{8} = \frac{49}{x} \\ 7x = 392 \\ x = \frac{392}{7} \\ x = 56[/tex]
Answer:
x = 56
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7/8-(49/x)=0
Step by Step solution:
Step 1:
Simplify 49/x
Equation at the end of step 1:
7/8 - 49/x = 0
Step 2:
Simplify 7/8
Equation at the end of step 2:
7/8 - 49/x = 0
Step 3:
Calculating the Least Common Multiple :
Find the Least Common Multiple
The left denominator is : 8
The right denominator is : x
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 3 0 3
Product of all
Prime Factors 8 1 8
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
x 0 1 1
Least Common Multiple:
8x
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = x
Right_M = L.C.M / R_Deno = 8
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 7 • x
—————————————————— = —————
L.C.M 8x
R. Mult. • R. Num. 49 • 8
—————————————————— = ——————
L.C.M 8x
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7 • x - (49 • 8) 7x - 392
———————————————— = ————————
8x 8x
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
7x - 392 = 7 • (x - 56)
Equation at the end of step
4
:
7 • (x - 56)
———————————— = 0
8x
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
7•(x-56)
———————— • 8x = 0 • 8x
8x
Now, on the left hand side, the 8x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
7 • (x-56) = 0
Equations which are never true:
5.2 Solve : 7 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.3 Solve : x-56 = 0
Add 56 to both sides of the equation :
x = 56
One solution was found :
x = 56
How is the product of 2 and -5 shown on a number line?
-10-98235
-3 -2 -1 0 1 2 3 4 5 6 7 8 10
-10 - -
-3
-2 -1 0 1 2 3 4 5 6 7 8
10
-10 -4 -8 -7 -3
4 -3 -2 -1 0
1
2
3
4
5
6
7
9
10
-10-9-4-7-3
-4-1 -2 -1 0 1 2
3
5
6
7
10
Answer:
d
Step-by-step explanation
Step-by-step explanation:It starts at 0 and goes in the negative
Twice a number plus eight times a second number is 19. Five times the first number plus seven times the
second is 15. Find the numbers.
Write two linear equations to represent a system to solve this, where X represents the smaller number and
y represents the larger number. Write the equations, but do not solve them.
Answer:
Step-by-step explanation:
2x + 8y = 19
5x + 7y = 15
In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II
Answer:
B.
Step-by-step explanation:
The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.
brief statement Bosnian Crisis.
Answer:
The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.
Step-by-step explanation:
hope this helps
please answer fully/////////////
Answer:
Step-by-step explanation:
Tear this apart piece by piece
15 - 8 = 7
7 * 3 = 21
11 + 21 = 32
Now so far this much is correct. The problem is the next sign. Is it add or is it divide. The only way to resolve it is to do it both ways.
Add 4
32 + 4 = 36
Divide 4
32 / 4 = 8 1/4 = 8
Answer:
8Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]\ [11+(15-8)\cdot3]:4=(11+7\cdot3):4=(11+21):4=32:4=8[/tex]
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 14 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to two decimal places.)
Answer:
Step-by-step explanation:
V = 4πR³/3 + πR²h
h = (V - 4πR³/3) / πR²
A = 4πR² + 2πRh
A = 4πR² + 2πR((V - 4πR³/3) / πR²)
A = 4πR² + 2((V - 4πR³/3) / R)
A = 4πR² + 2V/ R - (8πR³/3) / R
A = 4πR² + 2(14)/ R - 8πR²/3
A = (4π - 8π/3)R² + 28/R
A = (4π/3)R² + 28/R
dA/dR = (8π/3)R - 28/R²
0 = (8π/3)R - 28/R²
28/R² = (8π/3)R
R³ = 28(3 / 8π)
R = 1.49513...
R = 1.50 cm
which makes the cylinder height 0.00 cm. The figure is a sphere.
Please help me with the worksheet
Answer:
9) a = ¾, vertex: (-4, 2), Equation: y = ¾|x + 4| + 2
10) a = ¼, vertex: (0, -3), Equation: y = ¼|x - 0| - 3
11) a = -4, vertex: (3, 1), Equation: y = -4|x - 3| + 1
12) a = 1, vertex: (-2, -2), Equation: y = |x + 2| - 2
Step-by-step explanation:
Note:I could only work on questions 9, 10, 11, 12 in accordance with Brainly's rules. Nevertheless, the techniques demonstrated in this post applies to all of the given problems in your worksheet.
Definitions:The given set of graphs are examples of absolute value functions. The general form of absolute value functions is: y = a|x – h| + k, where:
|a| = determines the vertical stretch or compression factor (wideness or narrowness of the graph).
(h, k) = vertex of the function
x = h represents the axis of symmetry.
Solutions:Question 9) ⇒ Vertex: (-4, 2)Solve for a:
In order to solve for the value of a, choose another point on the graph, (0, 5) and substitute into the general form (equation):
y = a|x – h| + k
5 = a| 0 - (-4)| + 2
5 = a| 0 + 4 | + 2
5 = a|4| + 2
5 = 4a + 2
Subtract 2 from both sides:
5 - 2 = 4a + 2 - 2
3 = 4a
Divide both sides by 4 to solve for a:
[tex]\LARGE\mathsf{\frac{3}{4}\:=\:\frac{4a}{4}}[/tex]
a = ¾
Therefore, given the value of a = ¾, and the vertex, (-4, 2), then the equation of the absolute value function is:
Equation: y = ¾|x + 4| + 2
Question 10) ⇒ Vertex: (0, -3)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (4, -2) and substitute into the general form (equation):
y = a|x – h| + k
-2 = a|4 - 0| -3
-2 = a|4| - 3
-2 = 4a - 3
Add 3 to both sides:
-2 + 3 = 4a - 3 + 3
1 = 4a
Divide both sides by 4 to solve for a:
[tex]\LARGE\mathsf{\frac{1}{4}\:=\:\frac{4a}{4}}[/tex]
a = ¼
Therefore, given the value of a = ¼, and the vertex, (0, -3), then the equation of the absolute value function is:
Equation: y = ¼|x - 0| - 3
Question 11) ⇒ Vertex: (3, 1)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (4, -3) and substitute into the general form (equation):
y = a|x – h| + k
-3 = a|4 - 3| + 1
-3 = a|1| + 1
-3 = a + 1
Subtract 1 from both sides to isolate a:
-3 - 1 = a + 1 - 1
a = -4
Therefore, given the value of a = -4, and the vertex, (3, 1), then the equation of the absolute value function is:
Equation: y = -4|x - 3| + 1
Question 12) ⇒ Vertex: (-2, -2)
Solve for a:
In order to solve for the value of a, choose another point on the graph, (-4, 0) and substitute into the general form (equation):
y = a|x – h| + k
0 = a|-4 - (-2)| - 2
0 = a|-4 + 2| - 2
0 = a|-2| - 2
0 = 2a - 2
Add 2 to both sides:
0 + 2 = 2a - 2 + 2
2 = 2a
Divide both sides by 2 to solve for a:
[tex]\LARGE\mathsf{\frac{2}{2}\:=\:\frac{2a}{2}}[/tex]
a = 1
Therefore, given the value of a = -1, and the vertex, (-2, -2), then the equation of the absolute value function is:
Equation: y = |x + 2| - 2
Is this triangle not similar because it only has two proportional sides?
Answer:
The triangles are similar.
Step-by-step explanation:
They share a common angle (∠S) and the ratio of the two sides is the same, i.e. SP/SQ = SR/ST
A rectangular garden to contain 3 length segments and 4 width segments. The total amount of fencing required is 24 meters. What is the maximum possible area
Answer:
12 meters sq
Step-by-step explanation:
area= length x width
area= 3x4
area=12 meters sq
find the angle pls it's just 1 question
Answer:
70°
Step-by-step explanation:
isoceles so base angles are 55
55+55 is 110 so 180-110 is 70
Answer:
if the triangle is isosceles
Step-by-step explanation:
traingle angles= 180°
isosceles traingle= base angles are equal
180°-55°-55°= 70°
Determine the solution to each system of equations given in the table. Enter your answer in the box provided
Solution
System of Equations
Sy= 2x – 10
y=-3x + 5
Answer:
x=3 and y=-4
(3,-4)
Step-by-step explanation:
I searched it up :/
Answer:
x = 3 and y = -4
Step-by-step explanation:
Solve y = 2x-10 for y:
y=2x-10
Substitute 2x-10 for y in y = -3x+5:
y=-3x+5
2x-10=-3x+5
2x-10+3x=-3x+5+3x (add 3x to both sides)
5x-10=5
5x-10+10=5+10 (add 10 to both sides)
5x=15
5x/5=15/5 (divide both sides by 5)
x = 3
Substitute 3 for x in y = 2x-10:
y=2x-10
y=(2)(3)-10
y=-4 (simplify both sides of the equation.
Therefore your answer is x = 3 and y = -4.
Find the value of the expression 4a + 7 when a= 1/2.
plssss help quiiick
Answer:
The answer is 9
Step-by-step explanation:
1/2 of 4 is 2, so you plug that in
2+7=9
Sharon’s turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. If Sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?
Two integers are relatively prime if, and only if, their greatest common divisor is 1. For example, 2 and 3 are relatively prime, 1 and 1 are relatively prime, but 2 and 2 are not. You toss two dice, one blue and one gray. What is the probability that when the dice stop rolling that the pip count on the blue die is relatively prime to the pip count on the gray die and the gray die is showing six pips
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
please help with this math
What is the equation of this line in slope-intercept form? (-1,5) (1,-1)
y = 3x - 2
y = -1/3x + 2
y = -3x + 2
y = 3x + 2
sooooooooooooooooooooooooooooooo who wants to help with my math
Answer:
I will what is the question?
Answer:
What is the question lol
Step-by-step explanation:
I can try to help!
Juan has x quarters and y dimes, having a minimum of 16 coins worth at most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.
Answer:
See belowStep-by-step explanation:
Quarter - 25¢, dime - 10¢, total - $3 = 300¢
Inequalities:
x + y ≥ 1625x + 10y ≤ 300x ≥ 4See attached for graphical solution. There are many solutions.
Possible one solution:
5 quarters and 17 dimeshelp me plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is B. just to keep it short B.
75% of the amount is 4.5 cm
Answer:
6
Step-by-step explanation:
15% tip on a bill of 99.99
Answer:
Your tip is $15.00
Step-by-step explanation:
Have a nice day ^^
Guys what's 1 9/15+ 1 5/15
Answer:
2 14/15. answer need to be 20
Select the reason why these triangles are
similar. If they are not, select "Not similar.
14
9
24
16
6
21
Answer:
SSS
Step-by-step explanation:
The triangles are similar according to SSS rule (side lengths)
You can check it by writing the following equation:
6/9 = 16/24 simplify both sides
2/3 = 2/3
1/2 - 3/10 please help
Answer:
[tex]\huge\boxed{\dfrac{1}{5}=0.2}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{2}-\dfrac{3}{10}=\dfrac{1\cdot5}{2\cdot5}-\dfrac{3}{10}=\dfrac{5}{10}-\dfrac{3}{10}=\dfrac{5-3}{10}=\dfrac{2}{10}=\dfrac{2:2}{10:2}=\dfrac{1}{5}\\\\\\\dfrac{1}{2}=0.5;\ \dfrac{3}{10}=0.3\\\\\dfrac{1}{2}-\dfrac{3}{10}=0.5-0.3=0.2[/tex]
brantty works 21.5 hours every week . if she earns 8.50 per hour how much does she earn in one week round part a to the nearest dollar
Step-by-step explanation:
1 hour - $8.50
21.5 hours (one week) - $8.50 × 21.5 = $182.75
One week = $183
Do Babies Understand Probability? Can babies reason probabilistically? A study1 investigates this by showing ten- to twelve-month-old infants two jars of lollipop shaped objects colored pink or black. Each infant first crawled or walked to whichever color they wanted, determining their "preferred" color. They were then given the choice between two jars that had the same number of preferred objects, but that differed in their p
Answer:
Step-by-step explanation:
Wow, that’s interesting!
Is this a question?
Compute the total amount accumulated if you invested $3,000 for 6 years at 3% compounded
quarterly. Round your answer to the nearest cent and include '$' in your response.
Answer:
$3,582.16
Step-by-step explanation: