Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C
⇒ [tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]12^{2}[/tex] - 2(8 x 12) Cos[tex]65^{o}[/tex]
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x = [tex]\sqrt{126.857}[/tex]
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
Micah and Joel each have a set of five rational numbers. Although their sets are not the same, their sets of numbers have absolute values that are the same. Show an example of what Micah and Joel could have for numbers. Give the sets in order and the absolute values in order.
Solution :
Ordering numbers means we have to arrange the numbers in ascending order or in a descending order i.e. from small value to big or from big value to small value.
The order of the positive numbers is same as the order of the absolute values and their order of the negative numbers are opposite to the order of their absolute values.
In the context, if Micah is having numbers 1, 2, 3, 4, 5, then the order of the absolute values of the numbers would be 1, 2, 3, 4, 5. Similarly, if Joe is having numbers -5, -4, -3, -2, -1, then the order of their absolute value will be also 1, 2, 3, 4, 5.
And if Micah have the numbers -5, -3, -1, 2, 4, then the absolute values of his numbers is 1, 2, 3, 4, 5. Also if Joe have numbers as -4, -2, 1, 3, 5, then his order of absolute values is also 1, 2, 3, 4, 5.
(1/a-1 )+ 2a/1-a^2
Answer
Please show the steps
Answer:
boop boop beep bop
Step-by-step explanation:
Im nice heheh
roight?
Please help me, i can't get this question wrong, please and thank you.
Coloca verdadero (V) o falso (F) donde corresponda: I. La moda de: 3; 3; 5; 6; 6; 3; 8; 9 es 3 II. La mediana de: 25; 23; 16; 14; 5; 1; 13 es 14. III. La media aritmética de: 8; 6; 7; 6; 5; 4; 3; 1 es 6
please HELP I WILL GIVE BRAINLIEST
1/3 so sorry if this is wrong
(THIS IS A TEST I NEED HELP)
A flagpole casts a shadow that is 15 feet long. How tall is the
flagpole?
A 10ft
B 20ft
C 40ft
D 400ft
Answer:
i think its C
Step-by-step explanation:
Answer:
it's 20
.......: )...…...
HELP PLEASE ASAP :))))
Answer:
ARITHMATICKS
Step-by-step explanation:
1. 139=M
2. 25=I
3. 30=T
4. 46=K
5. 516=R
6. 48=C
7. 78=S
8. 10=A
9. 39=H
Hope this helps! If you need equations, please tell me.
What’s one message you would tell your ex if you miss him/her a girl is heartbroken here get me in my feels XD
Answer:
Sadly all my exes were horrible and cheated on me however, I will tell you what I would say if I lost my current partner
Step-by-step explanation:
I regret not being there so much. I regret not loving you enough. I regret not holding you enough and not kissing you enough. I regret not spoiling you enough. I regret everything except loving you. I wish I could've given you the world like my promise and that was the biggest mistake yet.
A ratio is a comparison of two quantities. For example, the ratio of cows to pigs on a farm could be 1 to 3. For every 1 cow, there are 3 pigs. The ratio of chocolate chips to raisins in a cookie could be 5 to 9. For every 5 chocolate chips in the cookie, there are 9 raisins. Do you notice a repeating phrase in these examples? “For every” is key ratio language. It tells you how much of one quantity exists in comparison to the other quantity. A ratio consists of just the numbers, not the units. If someone asked the ratio of chocolate chips to raisins in the cookie example, you’d say 5 to 9.
Answer:
How many diet sodas there are in the fridge compared to how many regular sodas?
Step-by-step explanation:
A ratio is a comparison of two quantities. You could represent how many diet sodas there compared to how many regular sodas as a ratio.
I think you were trying to ask about the Flocabulary question, right?
I had it too and got it correct.
How are maps of cities like dilations? GEOMETRY WILL GIVE BRANLIEST.
Dilations change the size of an object or image. In this case, a city map changes the city's size and makes it smaller so that it can be read.
Does the graph represent a function? Why or why not?
A. No, because it fails the horizontal line test.
B. Yes, because it passes the horizontal line test.
C. Yes, because it passes the vertical line test.
D. No, because it fails the vertical line test.
Answer:
D . No because it fails the vertical line test .
Step-by-step explanation:
The length of a rug is 5 yards. What is the length in inches?
Answer:
180 inches
Step-by-step explanation:
There are 36 inches in a yard.
And there are 5 yards.
SO, 36 x 5 = 180 inches.
Which equation would generate the arithmetic sequence: -8.-3.2.7.12.
A 5-8(n-1)
B = -8+5(n-1)
C None of the other answers are correc
D = -8-5(1-1) a = 5+8(n-1)
Answer: B
Step-by-step explanation:
The equation for an arithmetic sequence is:
aₙ = a₁ + d(n - 1)
This matches answer B, so lets test it.
Substitue the position values for n
Given: Position 1 = -8
Solve Position 2:
a₂ = -8 + 5(2 - 1) = -3
a₃ = -8 + 5(3 - 1) = 2
a₄ = -8 + 5(4 - 1) = 7
a₅ = -8 + 5(5 - 1) = 12
Gemma wrote the equation for a linear relationship below. y = 3x + 5 If x equals 9, what is the value of y? y = _____
Answer:
y = 32
Step-by-step explanation:
y = 3x + 5
y = 3(9) + 5
y = 27 + 5
y = 32
Answer:
Step-by-step explanation:
You replace all the x's in the problem with 9.
3(9)+5
3(9)=27
27+5=32
Which problem can be solved using the expression 1/3÷1/4 ?
Answer:
Step-by-step explanation:
Divide: 1
3 : 14 = 13 · 4 1 = 1 · 4 3 · 1 = 43
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1
4 is 4 1
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - one third divided by one quarter = four thirds.
i need help for this pls
14+(−9)+(−9)
Answer:
the answer is -4. :)
Step-by-step explanation:
i am beyond confused
Mackenzie has a loyalty card good for a 20% discount at her local hardware store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $17.45? Round to the nearest cent.
Answer: $14.0
Step-by-step explanation:
For us to calculate this question, we have to find 20% of $17.45 and then subtract the value gotten from $17.45. This will be:
= $17.45 - (20% × $17.45)
= $17.45 - (0.2 × $17.45)
= $17.45 - $3.49
= $13.96
= $14.0 to nearest cent
Answer:
0.35
Step-by-step explanation:
Please help! Very fast. Please be correct!
Answer:
1. true
2. true
3. false
4. true
5. true
The three-dimensional figure below is a cylinder with a hole in the shape of a rectangular prism going through the center of it. The radius is 10 yards. Find the volume of the solid in cubic yards, rounded to the nearest ten.
Answer: 1,510
Step-by-step explanation: using the formula
(pie•r2•height) - (width•length•height)
I plugged in the numbers to get
(Pie•10(2)•5) - (4•3•5)
This gives you
1,570 - 60
= 1,510
Tim is a first grader and reads 43 words per minute. Assuming he maintains the same rate, use the double number line to find how many words he can read in 5 minutes. Words 0 43 Minutes 0 1 Tim can read words in 5 minutes.
as a timeline
Answer:
all you have to do is Just divided the numbers
Step-by-step explanation:
÷
What is equivalent to 6 exponent 8
Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width?
Answer:
The Length of rectangle is 87 yards.
Step-by-step explanation:
Let width = w
Length = 3w-18
Perimeter of rectangle = 244 yards
We need to find length of rectangle.
First we need to find value of w
The formula used will be: [tex]Perimeter=2(length+width)[/tex]
Putting values and finding w
[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]
So, w= 35
The width of rectangle w = 35 yards
The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.
So, the Length of rectangle is 87 yards.
A half game in football is 45 min. At one point, a half was extended so that it was 48 minutes 30 seconds long. By what percentage was the half extended? Round to the full percentage.
Answer:
8%
Step-by-step explanation:
Multiply the number 45 by at least 1 point 0 something and therefore. We can assume that a 5% increase is around 47 minutes and 15 seconds and a 10% increase is around 49 minutes and 30 seconds ranging for you to use from 6% to 9%. The exact answer for the increase is around 7.78%, for me, I would plug in the equation like 45*1.7 and 45*1.8 on the calculator for more accuracy since you would need to round to the full percentage if it's between 7.5% to the exact number, it would be fully rounded to 8% since you would need at least a 5 to round up.
joe spent $15. he bought 2 cans of oil. abouthow many gallons of gasoline did he buy
The expression that can be used to determine the total amount of Joe spent on gasoline and oil is 2.85g + 3.15c.
The number of gallons of gasoline he bought is 3.0 gallons.
How to find the expression to determine the total amount of gas bought?Joe bought g gallons of gasoline for 2.85 dollars per gallons and c cans of oil 3.15 dollars per can.
Therefore, the expression that can be used to determine the total amount of Joe spent on gasoline and oil is as follows:
total amount = 2.85g + 3.15c
where
g = number of gallons of gasolinec = cans of oilJoe spent 15 dollars . He bought 2 cans of oil . The amount of gallons of gasoline he bought can be calculated as follows:
15 = 2.85g + 2(3.15)
15 = 2.85g + 6.3
15 - 6.3 = 2.85g
8.7 = 2.85g
g = 8.7 / 2.85
g = 3.05263157895
Therefore,
g = 3.0 gallons of gasoline
learn more on expression here: brainly.com/question/29177553
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Write 1.33 x 10^6 in standard notation
Answer:
14.098
Step-by-step explanation:
Using the information given, write an equation in slope-intercept form.
9
7) m=
2
and b=3.
Answer:
y = 2x + 3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 3
Step 2: Write function
y = 2x + 3
Slope intercept form : y=mx+b
answer: y=2x+3
You’re basically supposed to substitute
4. slope: -y-intercept
: -2
Answer:
y = 4/1 - 2
Step-by-step explanation:
That is your words in slope intercept form
identify the angles that each have a measure of 88
Answer:
∠1=∠88(Vertically Opposite angles are equal)
∠8=∠88(corresponding angles are equal)
∠3=∠88(alternate interior angles are equal
Angles ∠1, ∠3 and ∠8 are equal to 88°.
What is angle?An angle is the formed when two straight lines meet at one point, it is denoted by θ.
Angle 1 and 88 are the vertically opposite angle, so they are equal
∠1 = 88°
Angle 1 and angle 3 are corresponding angle, so they are equal
∠1 = ∠3 = 88°
Angle 3 and 8 angle are vertically opposite angle, so they are equal
∠3 =∠8 = 88°
Therefore, ∠1 = ∠3 = ∠8 = 88°
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Your bank account balance is −$52.85. You deposit $65.50. What is your new balance?
Answer:
$12.65
Step-by-step explanation: