Taryn is making a quilt using fabric in the shape of parallelograms that have side lengths of 12 cm and 4.5 cm as shown. She sews two right
triangles to either end of the parallelogram to make a rectangle. The length of OP is 2.5 cm.
What is the length of MN?
O A V2.5 cm
OB. 14 cm
OC 4.5 cm
OD 26.5 cm
OE 7 cm
Answer:
[tex]MN = \sqrt{14[/tex]
Step-by-step explanation:
Given
[tex]NO = 12[/tex]
[tex]OP = 2.5[/tex]
[tex]OQ = 4.5[/tex]
Required
Find MN
First, we calculate QP using Pythagoras theorem
[tex]OQ^2 = OP^2 + QP^2[/tex]
[tex]4.5^2 = 2.5^2 + QP^2[/tex]
[tex]20.25 = 6.25 + QP^2[/tex]
Collect like terms
[tex]QP^2 = 20.25 - 6.25[/tex]
[tex]QP^2 = 14[/tex]
Take square roots
[tex]QP = \sqrt{14[/tex]
To solve MN, we have:
[tex]MN = OP[/tex]
So:
[tex]MN = \sqrt{14[/tex]
Find the surface area of
the prism.
12 in.
7 in.
4 in.
The surface area is
in. 2.
6g = 48
g=?
What does g=?
Answer:
8
Step-by-step explanation:
6g = 48
/6 /6
divide 6 by both sides
g = 8
hope this helped!
what is the volume of the square pyramid
Answer:
3710.67 mm
Step-by-step explanation:
The formula is a^2 h/3
a = 22 h = 23
First, do 22 squared which is 484.
Now do 23 divided by 3 which is 7.666666667
Now multiply 484 and 7.666666667 together to get
3710.666667 or 3710.67 mm
A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck drive in an hour.
_______ miles in one hour
Answer:
About 64 Miles
Step-by-step explanation:
I think you just divide the miles by minutes which is about 1.06 then x 60 = 64
This is kind of far fetched but does anyone have an idea of how to find elevation using cos tan and sin ?
Answer:
Step-by-step explanation:
Use right triangle trig and SohCahToa. Elevation could either mean the height of something or it could refer to an angle of elevation. Either way, these ratios can help you. Do you have an actual question?
Can someone help me out, I will give out brainly.
Answer:
370
Step-by-step explanation:
Area of the entire thing is 20*20 = 400
You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)
Area of triangle:
First find the height using pythagorean theorem
5*12 = 156
Then divide by two: 60/2= 30
400-30 = 370
Solve
No links!!!
I will give brainlest
& send links get reported
Answer:
12 no .
x+2(4/5)=3(1/6)
x+5*2+4/5=6*3+1/6
x+14/5=19/6
5*x+14/5=19/6(do cross multiplication)
6(x+14)=19*5
6x+84=95
6x=95-84
x=11/6
Step-by-step explanation:
13 no
-0.4a+1.2=3.6
-0.4a=3.6-1.2
a=2.4/-0.4
a=-6
What is the product of -1.24 and 4.25?
A-5.27
B -3.01
C 3.01
D 5.49
solve M2 + 6m = -8 using quadratic formula??
Answer:
m=-4,-2
Step-by-step explanation:
Hi there!
What we need to know:
The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] where the equation is given in standard formStandard form quadratic equation: [tex]y=ax^2+bx+c[/tex] (with y=0)1) Rearrange the given equation into standard form
This will help us determine the a, b and c values.
[tex]m^2+6m=-8[/tex]
Add 8 to both sides
[tex]m^2+6m+8=0[/tex]
Now, we can see that a=1, b=6 and c=8.
2) Plug a, b and c into the quadratic formula
[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]
I hope this helps!
A line, y = mx + b. passes through the point (2, 4) and is parallel to y = 3x - 5. What is the value of b?
Answer:
-2
Step-by-step explanation:
Well since this line is parallel to y=3x-5 they must have the same slope
We are just solving for the y-intercept
We have a point (2,4) lets plug it into
y=3x+ b
4 = 3(2) +b
4= 6 +b
-2 = b
The value of b is -2
Answer:
B-value = -2
Step-by-step explanation:
In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.
Hope this helps!
Here is the diagram:
Find the value of x.
Answer:
16 = x
Step-by-step explanation:
A triangle has 180 degrees. Use this to solve for x
180=(9x-8)+(x+2)+(x+10)
180 = 9x + x + x - 8 + 2 +10
180 + 8 -2 - 10 = 11 x
176 = 11x
176/11 = x
16 = x
Which of these decimals represents the shaded area of the grid? A) .8 x .6 = .48 B) .8 x .6 = 4.8 C) .8 x .6 = .084 D) .8 x .6 = .84
Answer:
A) .8 x.6 = .48
Step-by-step explanation:
B, C, and D are all answered incorrect
-3x+6>12
need help with this one number line
Answer:
x <-2
Step-by-step explanation:
-3x+6>12
Subtract 6 from each side
-3x+6-6>12-6
-3x> 6
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 6/-3
x <-2
Elena is feeding her neighbor's dogs. Each dog gets 2/3
cup of dog food, and she uses 3 1/3 cups of food. How many dogs does her neighbor have?
5 5/8 cups of water fill 4 1/2 identical water bottles. How many cups fill each bottle?
Answer:
5 dogs
1 1/4 cups per bottle
Step-by-step explanation:
10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5
45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4
Someone help please want
asap
Answer:
3
Step-by-step explanation:
you are dividing by 3 each time
The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A} = \blueD{6x - 18^\circ}∠A=6x−18
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B} = \green{14x +38^\circ}∠B=14x+38
∘
The answer is 30 :)
Answer:
∠A = 30
Step-by-step explanation:
Look at attachment:
Hope this helps! :)
Given CSC A= sqrt(85)/6 and that angle A is in Quadrant I, find the exact value of cot A
in simplest radical form using a rational denominator.
The exact value of cot A will be 0.857.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.
Then the value of angle A will be
csc A = √85 / 6
1 / cos A = √85 / 6
cos A = 6 / √85
A = 49.4°
Then the exact value of cot A will be
cot A = cot 49.4°
cot A = 0.857
The exact value of cot A will be 0.857.
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The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?
square OABC is drawn on a centimetre grid. O is (1,3) A is (3,3) B is (3,5)
Answer:
you have to tell us the question honey
the ratio of colored papers to white papers is 3/8 if there are 48 white papers, how many coloured papers are there
The number of coloured papers as per the given problem is 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The ratio of coloured papers to white papers is 3/8.
And, the number of white papers is 48.
Suppose, the number of coloured papers be x.
Then, as per the question the following equation can be obtained,
3/8 = x/48
=> x = 3/8 × 48
=> x = 18
Hence, the number of coloured papers is 18.
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Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
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A ski slope is 250 yards long with a vertical drop of 100 yards. Find the angle of depression of the
slope.
Step-by-step explanation:
would you still like me to help you with this question
Angle of depression of the slope is 24. degree.
Angle of depression is equal to the angle of elevation.
sine = the vertical drop/ the ski slope
sine = 100/250
= 2/5 = 0.4.
sine - 1 (0.4) = 23.57 which is about 24 degree.
Therefore, the correct angle of depression of the slope is approximately 24 degree.
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Please help! This boxed is packed with cubes that measure on cubic foot.
Enter the volumes of the box in cubic feet.
Answer:
Volume of Cuboid = 72 cubic feet
Step-by-step explanation:
Using 1 cubic foot as standard
Given:
Length of given cuboid = 6 feet
Width of given cuboid = 3 foot
Height of given cuboid = 4 foot
Find:
Volume of Cuboid
Computation:
Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of Cuboid = (6)(3)(4)
Volume of Cuboid = 72 cubic feet
Please help with this geometry question
Answer:
5894.82 ft^3
Step-by-step explanation:
We have to split the figure into two parts and then find the volume of both and add. The figure is split into a cylinder and hemisphere. The volume of the cylinder is 4823.04 ft^3 because the formula to find the volume of a cylinder is pi(r^2)h. The volume of the hemisphere is 1071.78 ft^3. Now, we have to add those volumes to get our final answer. 4823.04 + 1071.78 = 5894.82.
Stanley attempted to simplify the expression below.
−4●(2.5x−1.25)−3x
His work, step by step, is shown below.
Step 1: −4●{(2.5x+(−1.25)}−3x
Step 2:−10x+(−5)−3x
Step 3:−10x−3x+(−5)
Step 4: −13x−5
In which step did he make his first error simplifying the expression?
x + (3x - 4) = 5 - (-7 - 3x)
Answer:
x = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x + (3x - 4) = 5 - (-7 - 3x)
Step 2: Solve for x
[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x[Addition] Combine like terms: 4x - 4 = 12 + 3x[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12[Addition Property of Equality] Add 4 on both sides: x = 16How many liters of 10% silver iodide mixed with 9 liter of a 4%silver iodide solution to get 6% solution
Answer:
The correct answer is "4.5 liters". A further explanation is provided below.
Step-by-step explanation:
Let the solution needed be "x".
then, according to the question,
⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]
By solving the above expression, we get
⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]
⇒ [tex]0.04 x=0.54-0.36[/tex]
⇒ [tex]0.04x=0.18[/tex]
⇒ [tex]x=\frac{0.18}{0.04}[/tex]
⇒ [tex]=4.5 \ liters[/tex]
Maria wants to plant a tulip garden in her backyard. She can plant
10 rows of tulips with 9 tulips in each row.
How many tulips can Maria plant in all?
The terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112.
a) Determine the value of the common ratio
b) Determine the value of X algebraically.
Answer:
a. 4
b. 5
Step-by-step explanation:
a. r = √(112/7) =√16 =4
b. 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5 and the common difference is;4.
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
We are given that terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112
Therefore, the common difference is;
r = √(112/7) =√16
r =4
Now, 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5.
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