Father came home from work and saw 3/4 of a pizza in the kitchen. He ate 1/3 of what was left of the pizza. What fraction of the original pizza was left?
Answer:
3/4 means 0.75 of apizza was in the kitchen and the father ate 1/3 of the 3/4 which means 0.75÷3=0.25 the question is what fraction of pizza that was left so 0.75-0.25= 0.5 or 1/2 of apizza is left.
In the function y=f(x), y varies inversely with the square of x and when x=4, y=1/2. Find y when x=1.
ok so
y= 4/3x2
Y varies inversely with square of x means
y = k (1/x²) where k is the constant
plug in y =1/3 and x = - 2 in the above equation.
1/3=k (1/{-2}²)
1/3=k (1/4)
multiply with 4 to both sides.
4/3 =k
therefore,
y=4/3 (1/x²) = 4/3x²
Find the missing length of each triangle and round to the nearest tenth.
Answer: 5 inches
Step-by-step explanation: We must use the Pythagorean theorem to solve this. Since the hypotenuse is always opposite of the right angle, we know that the hypotenuse is 13 and we can substitute the values into this formula: a^2 + b^2 = c^2
12^2 + b^2 = 13^2
144 + b^2 = 169
169 - 144 = 25 (this is b^2)
[tex]\sqrt{25}[/tex] = 5
Thus, the value of x is 5 inches.
Would appreciate brainliest <3
what is 2x-3 when x=1
passes through (2,-3) with a slope of -9/2
Answer:
y = — 9/2x + 6
Step-by-step explanation:
m= —9/2
y — y1 = m (x — x1)
y + 3 = —9/2 (x — 2)
y = — 9/2x + 6
Expand and simplify.
(x + 1)(2-6)
Isosceles triangle has , and a circle with radius is tangent to line at and to line at . What is the area of the circle that passes through vertices , , and
The circle that passes through the vertices of triangle ΔABC (A, B, C) is the
circumscribing circle of triangle ΔABC.
The area of the circle that passes through vertices A, B, and C, is (C) 26·π
Reasons:
The given parameters are;
Side length of isosceles triangle ΔABC; [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex] = 3·√6
Radius of circle tangent to [tex]\overline{AB}[/tex] at B and [tex]\overline{AC}[/tex] at C = 5·√2
Required:
Area of the circle that passes through vertices A, B, and C
Solution:
Angle ∠BAO is given as follows;
[tex]\angle BAO = arctan\left(\dfrac{5 \cdot \sqrt{2} }{3 \cdot \sqrt{6}} \right) = \mathbf{arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)}[/tex]
Therefore;
[tex]\angle BOA = 90^{\circ} - arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)[/tex]
[tex]\overline{BC} = 2 \times 5 \cdot \sqrt{2} \times sin\left(90^{\circ} - arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right) = 15\cdot \sqrt{\dfrac{6}{13} }[/tex]
∠ABO' = ∠BAO' (Base angles of isosceles triangle ΔABO')
[tex]\angle BAO' = \angle BAO = \mathbf{arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)}[/tex]
Therefore;
[tex]\angle BO'A = 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)[/tex]
From sine rule, we have;
[tex]\dfrac{\overline{AB}}{sin \left(\angle BO'A \right)} = \mathbf{\dfrac{\overline{BO'}}{sin \left(\angle BAO' \right) \right)}}[/tex]
Which gives;
[tex]\mathbf{\dfrac{3 \cdot \sqrt{6} }{sin \left( 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right)}} = \dfrac{\overline{BO'}}{sin \left(arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right) \right)}[/tex]
Using a graphing calculator, we get;
[tex]\overline{BO'} = \dfrac{3 \cdot \sqrt{6} }{sin \left( 180^{\circ} - 2 \times arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right)\right)} \times sin \left(arctan\left(\dfrac{5 \cdot \sqrt{3} }{9} \right) \right) = \sqrt{26}[/tex]
The radius of the circumscribing circle [tex]\overline{BO'}[/tex] = √(26)
Therefore, area of the circumscribing circle, [tex]A_{O'}[/tex] = π·(√(26))² = 26·π
The area of the circle that passes through vertices A, B, and C, is (C) 26·π
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The possible question options obtained from a similar question online are;
(A) 24·π (B) 25·π (C) 26·π (D) 27·π (E) 28·π
the formula used to convert temperature from celsius to Fahrenheit is ___ find the formula that you can convert fahrenheit to celeries by solving C
Answer:
Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. The formula to find a Celsius temperature from Fahrenheit is: °F = (°C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: °F = (°C × 9/5) + 32 The two temperature scales are equal at -40°.
Step-by-step explanation:
PA BRAINLIEST
right ANSWERS only plz i need help on how to do it also not just the answer plz and thank u
Answer:
option c
Step-by-step explanation:
because 2x +1= 0
2x/2= -1
x= -1/2
Ignore the numbers
Help me how do I do this question
Answer:
He will not have enough money
Step-by-step explanation:
you were able to identify the total area
which is 72+42 = 114 m^2
each tin covers 12 m^2,
114/12 = 9.5, so will need 10 tins (can't buy half a tin)
each tin cost 19£, so 10 will cost
10*19=190£
Caretaker will not have enough money
he is 60£ short
A woman can invest some money at 10% simple interest or at 8% compound interest. If
she invests $8000 for 3 years, find which is the more profitable investment and by how much.
Answer:
3/12 percent
Step-by-step explanation:
Which equations are true? Select all that apply.
A.
66
÷
10
1
=
6
.
6
B.
660
÷
10
0
=
66
C.
6
,
600
÷
1
,
000
=
0
.
66
D.
0
.
66
÷
10
1
=
0
.
066
E.
6
÷
100
=
0
.
06
Answer:
a b d e
Step-by-step explanation:
i just took the test and got a hundred
Equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
Make sure your equation is correct by comparing the values on either side of the equals sign to create a true equation. A true equation must have the same numerical values on both sides of the "=" sign. One real equation is, for instance, 9 = 9. A valid equation is 5 + 4 = 9.
As a result, the true equations are,
66: 10 = 6.6
660: 10° = 66
6: 100 = 0.06
Thus, equations A, B, and E are true, i.e 66: 10 = 6.6, 660: 10° = 66, 6: 100 = 0.06.
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Dita adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What is the percentage of milk in the resulting mixture?
SHOW YOUR WORK!
Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.
The resulting mixture is 19% milkReasons:
The known quantities are;
The volume of milk Dita adds to an cup of coffee = 18 oz
The percentage of milk in the cup of coffee = 10%
Required:
The percentage milk in the resulting mixture.
Solution:
Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz
The total amount of milk in the resulting mixture = 2 oz + 1.8 oz = 3.8 oz
Volume of the resulting mixture = 2 oz + 18 oz = 20 oz
The percentage of milk in the resulting mixture is therefore;
[tex]\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%[/tex]
The resulting mixture is 19% milk.
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Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same number of rocks for himself), how many rocks did each person get ?
Answer:6. 42 split 7 ways is 6
Step-by-step explanation:
Simplify: 8√3 + 12√3
Answer:
20√3
Step-by-step explanation:
Find the slope of the line that goes through the points (4,-3) and (5,0)
Answer:
the slope of the points (4,-3) and (5,0) is 3
Step-by-step explanation: I used the formula y2-y1 over x2-x1 will give you the answer hope this helped!
Answer:
[tex]\boxed {\boxed {\sf m=3}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line that passes through (4, -3) and (5,0).
The slope is the number that tells us the steepness and direction of a line. It is the rise over run, or the change in y over the change in x.
[tex]m= \frac{ \Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
In the slope formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. The points we are given are (4, -3) and (5,0). If we match the value with its corresponding value, we see that:
x₁ = 4 y₁ = -3x₂ = 5 y₂ = 0Substitute the values into the formula.
[tex]m= \frac{0 - -3}{5-4}[/tex]
Solve the numerator. Remember that 2 back to back subtraction signs become an addition sign.
0--3 = 0+3=3[tex]m= \frac{3}{5-4}[/tex]
Solve the denominator.
5-4 =1[tex]m= \frac{3}{1}[/tex]
Divide.
[tex]m=3[/tex]
The slope of the line is 3.
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
64
96
144
208
Answer:
64
Step-by-step explanation:
6(12-3) + 4 + (3×2)
6(9) + 4 + 6
54 + 4 + 6
= 64
use the correct trig function to find the value of x. (SAH,CAH,TAH)
Answer:
x=13.38
Step-by-step explanation:
Hi there!
We are given triangle ABC, with m<A=45°, CA=13, and BA=x
We want to find the value of x
First, let's find out which side is the adjacent, opposite, and hypotenuse
Using <A as the reference angle:
BC is the opposite
CA is the adjacent
BA is the hypotenuse
Recall the 3 most common trigonometric functions:
Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A
In reference to <A, the ratio will be:
cos(<A)=[tex]\frac{CA}{BA}[/tex]
Substituting all known values gives:
cos(45)=[tex]\frac{13}{x}[/tex]
Now multiply both sides by x
cos(45)x=13
Divide both sides by cos(45)
x=[tex]\frac{13}{cos(45)}[/tex]
Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode
x≈13.38
Hope this helps!
Describe the slope of the line. Then find the slope. What’s the slope?
Hello there!
We are given two points.
We use the following formula:
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-7}{0-(-1)}[/tex]
[tex]\frac{4-7}{0+1} \\\frac{-3}{1} \\-3[/tex]
So the slope is -3. Hope it helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
Answer:
[tex]\boxed{\boxed{\sf Slope: -3}}[/tex]
Step-by-step explanation:
To find the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
[tex]\sf Points: \left(-1,\:7\right)\: and\: \left(0,\:4\right)[/tex]
[tex]\boxed{\sf \left(x_1,\:y_1\right):\left(-1,\:7\right)}[/tex]
[tex]\boxed{\sf \:\left(x_2,\:y_2\right):\left(0,\:4\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=\cfrac{4-7}{0-\left(-1\right)}[/tex]
[tex]\longmapsto\sf slope\:(m)=-3[/tex]
_________________________________
What is the scale factor of the dilation?
Step-by-step explanation:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. Hope this helps :)
Please help me ASAP please please
Answer:
x = 67°
Step-by-step explanation:
angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.
Hai has 1 gallon jug of water. He drinks 1/8 gallons of water before lunch and 2/3 gallons of water after lunch. How much water did Hai drink all day?
Hai drink 11/24 gallons of water in all day
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Hai has 1 gallon jug of water.
Drinks 1/8 gallons of water before lunch
2/3 gallons of water after lunch.
We need to find how much water did Hai drink all day.
Now we have to add the water he drink.
1/8+2/3
LCM of 8 and 3
3+8/24
11/24
Hence, he drink 11/24 gallons of water in all day.
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Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm
Answer:
[tex] 324.72 {cm}^{3} [/tex]Step-by-step explanation:
Given,
Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm
As we know,
Volume of a cuboid = length × breadth × height
Therefore,
Volume of the given cuboid
= 3.6cm × 8.2cm × 11cm
(On multiplying)[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]
(On further multiplying)[tex] = 324.72 {cm}^{3} (ans)[/tex]
Hello there! :)
V=lwh (length times width times height)
We are given that:
Length=3.6 cm
Width=8.2 cm
Height=11 cm
Plug the values into the formula for volume:
V=lwh
V=(3.6)(8.2)(11)
Multiply:
V=324.72 cm³ (cubic centimeters)
Remember, volume is measured in cubic centimeters.
Hope it helps. Please let me know if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature :)[/tex]
what set of angles can form a line
Answer:
Did u mean triangle? There are no angles on a line.
Or do you mean two angles of 90 degrees?
Step-by-step explanation:
What function is graphed below?
10
Find the area of the shape.
Either enter on exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
units
Show Calculator
Answer:
(4-x)(x-4)=16-x2 help me please
Given that 6 >-2, which statements are true? Check all that apply. (2)(6)>(-2)(2) 6 --2 2 2. 0 (-2)(6)>(-2)(-2) 6 -2 -2 -2 (2)(6)
Answer:
Gogogigi
Step-by-step explanation:
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
io
14 cm
Answer:
1330.5 cm³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h . . . . . for radius r and height h
The radius of the given cylinder is 1/2(11 cm) = 5.5 cm. Filling in the formula values, we have ...
V = π(5.5 cm)²(14 cm) = 423.5π cm³ ≈ 1330.5 cm³
The volume of the cylinder is about 1330.5 cm³.
Answer:
1330.5
Step-by-step explanation:
Radius is half of diameter (11), so 5.5 was the other number I plugged in.
Calculate the residual based on the know information: Actual = 8.1 yds Predicted = 9.1 yds
Answer:
okkkkkkkkkkkkkkkkkkkk
Fill in the blanks so the equation has NO SOLUTION.
4(x -3) + 7 = _____x + _____
Answer:
4x + 1
Step-by-step explanation:
evaluating the expression on the left
4(x -3) + 7
Distribute
4x - 12 + 7
4x - 5
Therefor if the constant is any number other than -5
there will be NO SOLUTION
Examples of equations with no solution
4(x -3) + 7 = 4x + 1
4(x -3) + 7 = 4x - 3
4(x -3) + 7 = 4x + 4