Answer:
Length of side AB = 5.6 cm
Step-by-step explanation:
From the figure attached.
In right triangle ABC,
m∠ABC = 62°
m(BC) = 12 cm
By applying Cosine rule in this triangle,
Cos62° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
Cos62°= [tex]\frac{AB}{BC}[/tex]
0.46947 = [tex]\frac{AB}{12}[/tex]
AB = 12 × 0.46947
AB = 5.63
≈ 5.6 cm
Therefore, length of side AB = 5.6 cm
Length of side AB = 5.6 cm.
Calculation of the length of side:Since In right triangle ABC,
m∠ABC = 62°
m(BC) = 12 cm
Here we used the cosine rule
So, it is
[tex]Cos 62 = AB\div BC\\\\0.46974 = AB\div 12[/tex]
So, AB = 5.6 cm
hence, Length of side AB = 5.6 cm.
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Find the distance between the points. (2,3) and (-3,-6)
Answer:
D = 10.3
Step-by-step explanation:
Distance Formula = √(x₂-x₁)² + (y₂-y₁)²
D = [tex]\sqrt{(-3-2)^2 + (-6-3)^2}[/tex]
D = [tex]\sqrt{(-5)^2+(-9)^2}[/tex]
D = [tex]\sqrt{25+81}[/tex]
D = [tex]\sqrt{106}[/tex]
D = 10.3
Erica and John are making brackets.Erica makes 25 bracelets John makes m More bracelets than Erica which expression represents the total number of bracelets Erica and John made
Answer: 50 + m
Step-by-step explanation:
From the question, Erica and John are making brackets and Erica makes 25 bracelets while John makes m more bracelets than Erica. The total number of bracelets made will be:
Erica bracelet = 25
John bracelet = 25 + m
Total bracelet = 25 + 25 + m
= 50 + m
The expression that represents the total number of bracelets Erica and John made is 50 + m
when costprice and selling price is given how to calculate weather it is loss or profit?
Answer:
Selling price - cost price = profit, when Selling Price is more than Cost Price
Cost price - selling price = loss, when cost Price is more than sellIng Price
What is the solution to the problem rounded to the correct number of significant figures?
12.77 + 0.8 = ?
A. 14
B. 13.6
C. 13.57
Answer:
B - 13.6
Step-by-step explanation:
"What is the solution to the problem rounded to the correct number of significant figures?"
When you put it in a calculator, it will pop up as 13.57. You still want to round, so the only reasonable answer that you have is B, which is 13.6.
The solution to the problem rounded to the correct number of significant figures is,
⇒ 13.6
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Since, The rules for counting significant figures in addition:
1- The result should contain the decimal points as the fewest one of the added numbers.
12.77 has two decimals and 0.8 has 1 decimal,
so the result should contain 1 decimal.
The result of (12.77 + 0.8) is,
⇒ 13.57.
2- Now, we should minimize the result to contain 1 decimal, so we round the number beside the first decimal (7).
It is higher than 5, so increase the first decimal by 1.
So, the final result is 13.6.
Thus, The solution to the problem rounded to the correct number of significant figures is,
⇒ 13.6
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What are the solutions to the nonlinear system of equations below? Check all that apply x ^ 2 + y ^ 2 = 4 (x ^ 2)/(2 ^ 2) - (y ^ 2)/(2 ^ 2) = 1
Answer:
hey did you happen to get the answer for this?
Step-by-step explanation:
The answer is -2.0 and 2.0
Judy just calculated the standard deviation for a project she is working on. The value for the standard deviation is a small number. What does this represent?
The data is spread far from the mean.
The data is spread close to the mean.
The data is spread equal to the mean.
None of these choices are correct.
Answer: b) The data is spread close to the mean
Step-by-step explanation: Theoretically, when the standard deviation of a statistical data is large or high, it simply means that the values in such statistical data set are farther away from the mean, On the other hand when the standard deviation is small or low, it simply means that the values of such statistical data are close to the mean of those data on average.
Therefore Judy's low standard deviation for her project simply indicates that her statistical data set is spread close to the mean.
surface area of a triangular prism
Answer:
54ft squared
Step-by-step explanation:
All faces:
Front: 2*3/2=4.5f squared * 2 (other side)= 9ft squared
Sides: 10*3/2= 15ft squared * 2 (other side)= 30ft squared
Bottom: 3*10/2= 30/2= 15ft squared
=54 ft squared
Surface area of the triangular prism is 96 feet.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
A triangular prism has 2 triangular bases and 3 rectangular lateral faces.
Area of a triangle = [tex]\frac{1}{2}[/tex] × base × height
There are 2 triangles at the top and bottom.
Here base = 3 feet and height = 2 feet
Total surface area on the top and bottom = 2 × [tex]\frac{1}{2}[/tex] × base × height
= base × height
= 3 × 2
= 6 feet
There are 3 rectangular faces.
Area of the rectangle = Length × width
Here, length = 10 feet and width = 3 feet
Area of the rectangular face = 10 × 3 = 30 feet
Since there are 3 rectangular faces,
Total lateral surface area = 3 × 30 = 90 feet
Total surface area of the triangular prism = 90 + 6 = 96 feet
Hence the total surface area of the given triangular prism is 96 feet.
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James is working at a place that ships boxes. Each box is rectangular prism that measures 2 ft long, 3 ft
wide, and 2 ft tall. He is loading a small trailer that has 396 cu ft of space. What is the maximum number
of boxes he can fit inside the trailer?
A.66
B.132
C.33
D.12
Answer:
a) 66
Step-by-step explanation:
andy was given data to draw 3 scatter diagrams B , which line of best fit should have not been drawn explain your answer
Answer:
A line of best fit can only be drawn if there is strong positive or negative correlation. The line of best fit does not have to go through the origin. The line of best fit shows the trend, but it is only approximate and any readings taken from it will be estimations.
Step-by-step explanation:
Answer:
diagram b no correlation
Step-by-step explanation:
Elsa sold 37 pairs of earrings for $20 each at the craft fair. She is going to use 1/4 of the money to buy new CDs and is going to put the rest of the money in her savings account. How much money will she put in her savings account?
Let “s” stand for he amount of money saved
1. Equation:
2. How much money did she spend on CDs?
3. How much money did she out in her savings account?
Answer:
185 -> Spent on new CD's
$ 555 -> Savings Account
Steps:
37*20 = 740/4 = 185 -> Spent on new CD's
740 - 185 = $ 555 -> Savings Account
Description:
The 2 question is asking that how much money did she spend on her CD. We times 37 and 20 = that will equal 740 then we divide 740 by 4 = 185. Meaning we just solved for question 2. Answer is 185 spent on new CD.
For question 3 this time we get 740 again we do it by 37 times 20 equal 740. we minus it by 185 the spent on new CD answer. so 740-185= $555. So answer for question 3 is $555 to her saving account.
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Hope this helps.
What is the value of x?
0
va units
1v3 units
2/3 units
3/2 units
Answer:
Step-by-step
In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 00 is also undefined; when it is the form of a limit, it is an indeterminate form. explanation:
Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.
Answer:
The cost of one ft^2 of grass sod = $9
the cost of one geranium= $9
Step-by-step explanation:
Hi, to answer this question we have to write a cost equation for each one:
Heather : 14x+5y =171
Carlos: 6x+7y=117
Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.
Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:
98x+35y=1,197
-
30x+35y=585
____________
68x=612
Solving for x:
x = 612/68
x=$9 per ft2
Replacing x=9 on any equation:
6(9)+7y=117
54+7y=117
7y=117-54
7y=63
y=63/7
y=$9
The roots of a certain quadratic equation is 1 and 2/3. Determine the equation
Answer:3x^2-5x+2=0
Step-by-step explanation:
Format of a quadratic equation= ax^2 +bx+c
Let x=1 and 2/3
When x=1
x-1=0.......(1)
When x=2/3
x-2/3=0.........(2)
Compare the equations
(x-1)(x-2/3)=0
x^2-2/3x-x+2/3=0
x^2-5/3x+2/3=0
Multiply all terms by 3
3x^2-5x+2=0
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What is the slope of the line graphed below
Answer: D 2
Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2
Answer:
Slope= 2
Step-by-step explanation:
There are three steps in calculating the slope of a straight line when you are not given its equation.
Step One: Identify two points on the line.
Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
Step Three: Use the slope equation to calculate the slope.
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someone help please!
What must be true in order for line A to be parallel of line b?
Answer:
Its the first option.
Step-by-step explanation:
if they are both 180° then they can both go on forever without touching each other.
Answer:
c or (5x-54)°=(3x+16)°
Step-by-step explanation:
Since they are alternate angles, they must be equal. Alternate angles are always equivalent, and since you can't choose more than one answer, then they can't equal 180° or 90°.
which expression shows the first step in dividing 5x + 3 by x?
Juan recorded the number of pages each student read this week. His data are shown: 73, 79, 81, 50, 72, 112, 83, 76, 75, 80, 81 How many outliers do Juan’s data have?
a.0
b.1
c.2
d.3
Answer:
2
Step-by-step explanation:
50 and 112 are significantly different from the other data
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
I answered this already for you: https://brainly.com/question/16790720
Which is an exponential decay function?
f(x)=3/4(7/4)^x
fx) = 2/3(4/5)^-x
f(x) = 3/2(8/7)^-x
f(x)= 1/3(-9/2)^x
Answer:
c)3/2(8/7)^x
Step-by-step explanation:
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.
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The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
Exponential equationsThe standard form of an exponential equation is expressed as:
y = a(b)^x
where
a is the base
x is the exponent
b is the rate (determine whether the rate is growth or decay)
If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1
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I really need help in this one I’m stuck if someone could help me I would REALLY appreciate it ☹️ it’s geometry
12. The overtime rate of pay which is one-and-a-half times the basic rate of $240
per hour is
Answer:
300 inches tall or a flat surface is the best way you could use it to be
Use the vectors v = 7i + 2j and w = –4i + j to find 10v + 3w
Answer:
v = 7i + 2j
w= - 4i + j
10v = 10(7i + 2j) = 70i + 20j
3w= 3(- 4i + j) = -12i + 3j
10v + 3w
= 70i -12i + 20j +3j
= 58i + 23j
Hope this helps.
Share £747 in the ratio 2:7 between Tom and Ben.
Tom will get
£
Ben will get
£
[tex]tom \: will \: get \:£166 \\ ben \: will \: get \: £581\\ solution \\ let \: the \: ratios \: be \: 2x \: and \: 7x \\ 2x + 7x = 747 \\ or \: 9x = 747 \\ or \: x = \frac{747}{9} \\ x = £83 \\ replacing \: value \\ 2x \\ = 2 \times 83 \\ = 166 \\ 7x \\ = 7 \times 83 \\ = 581 \\ hope \: it \: helps[/tex]
Answer:
Tom=£166
Ben=£581
Step-by-step explanation:
Which is the value of this expression when p=-2 and q=-1?
A. -4
B. -1/16
C. 1/16
D. 4
Answer:
D. 4
Step-by-step explanation:
[tex] [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\
=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\
=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\
=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\
=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\
=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\
=p^{2}\times q^{-4} \\\\
= \frac{p^2}{q^4}\\\\
= \frac{(-2)^2}{(-1)^4}\\\\
= \frac{4}{1}\\\\
= 4[/tex]
could you guys help with this? thank you ;-;;
Answer:
144degrees
Step-by-step explanation:
In a regular pentagon, the sum of interior angles is 540. So one angle is 108. In the angles adjacent to x, we see two of the interior angles. We know that the angles around one point is 360. So, we add the two 108 degrees and subtract it from 360. Thus, 144.
Hope it helps
Deanna used 2.5 deciliters of milk in a recipe. How many milliliters of milk did Deanna use?
Number of Deciliters
x or ÷
Milliliters is 1 Deciliter
=
Number of Milliliters
=
Answer:
Milliliters is 1 Deciliter
Step-by-step explanation:
URGENTE!
(Foto 1)Decomponha o radicando em fatores primos e calcule o valor de cada radical
(Foto 2)Calcule
Alguem responde pfvr tenho até hj de noite pra responder
Step-by-step explanation:
Do it yourself will be help ful
[tex]6113 {2x}^{2} [/tex]
*I WILL MARK YOU BRAINLIEST!!!!*
Answer:
The answer would be -9 and -3 which would be B and D
Step-by-step explanation: