Given:
The sides of each brace have lengths 63 feet, 46 feet, and 40 feet.
To find:
The measure of the angle opposite the 46 foot side.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
We need to find the measure of the angle opposite the 46 foot side. So, [tex]a=46[/tex] and the other sides are [tex]b=63,c=40[/tex].
[tex]\cos A=\dfrac{(63)^2+(40)^2-(46)^2}{2(63)(40)}[/tex]
[tex]\cos A=\dfrac{3969 +1600-2116}{5040}[/tex]
[tex]\cos A=\dfrac{3453}{5040}[/tex]
[tex]\cos A=\dfrac{1151}{1680}[/tex]
Taking cos inverse on both sides, we get
[tex]A=\cos^{-1}\dfrac{1151}{1680}[/tex]
[tex]A=46.75503[/tex]
[tex]A\approx 47[/tex]
Therefore, the measure of the angle opposite the 46 foot side is 47 degrees.
Algebraically Speaking Write an equation: Rita has $5 in her purse. This is $12 less than she had before she went shopping. How much did she have when she went to the mall?.
-$12 -$5= x
x = value Rita has left when she went to the mall
What is the slope of the line?
Answer:
Slope is technically 1, because it implies that it's going up one and over to the right one. Also in slope-intercept form it would look like this
y = x + 1.
Step-by-step explanation:
Hope this makes sense :)
A Rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit spends hopping, at what speed is the rabbit hopping? (Hint: finds the constant of variation)
2. Write a direct variation equation for problem number 1.
(Please show your work.)
Step-by-step explanation:
1. The rabbit would be hopping at 3 feet per second.
You would first:
1. Divide each sides by 2
This would result into 3 = 1.
2. Given, 6 = 2.
If we said feet (6) = x and 2 (seconds) = y,
x = y or
feet = second (6 = 2).
What is the missing value?
Answer:
17 .........is the answer
Answer:
the missing value is 17.......
how do you add 23+(2x)
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freE PoInT
noice
reeeeeeeeeeeeeeeeee
Answer:
23 + 2x
Have a GOOD DAY!
A line passes through the points (-6, 8) and ( 3, 7). What is the equation of the line in Slope-Intercept Form?
Step-by-step explanation:
y=−x+2
Explanation:
Alright, so this is a two-part question. First we need to find the slope, then we need to find the y-intercept. Finally we plug all this into the slope intercept equation y=mx+b
The slope is commonly referred to as m=riserun this can also be expressed as m=y2−y1x2−x1 by using the change in y and the change in x.
m=5−8−3−(−6)
m=−33
m=−1
Alright, now lets find the y-intercept by using that slope. If we plug that slope into the base formula we get y=−x+b. Since we already know one point, lets put (−3,5) into that equation and solve for b.
5=−(−3)+b
5−3=3+b−3
2=b
Now is if plug out b into out equation, we get a finally answer of y=−x+2
Even though we're done, lets check it by putting in the other point.
8=−(−6)+2
8−6=6+2−6
2=2
someone help meh pleasee
The answer is [tex]\mathsf {\frac{2}{9}}[/tex].
We are given the equation :
∛(8/729)∛8/∛7292/9Answer:
[tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sqrt[3]{\dfrac{8}{729}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]
[tex]\implies \left(\dfrac{8}{729}\right)^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]
[tex]\implies \dfrac{8^{\frac{1}{3}}}{729^{\frac{1}{3}}}[/tex]
Rewrite 8 as (2 · 2 · 2) and rewrite 729 as (9 · 9 · 9):
[tex]\implies \dfrac{(2 \cdot 2 \cdot 2)^{\frac{1}{3}}}{(9 \cdot 9 \cdot 9)^{\frac{1}{3}}}[/tex]
[tex]\implies \dfrac{(2^3)^{\frac{1}{3}}}{(9^3)^{\frac{1}{3}}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{2^{(3 \cdot \frac{1}{3})}}{9^{(3 \cdot \frac{1}{3})}}[/tex]
[tex]\implies \dfrac{2^1}{9^1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]
[tex]\implies \dfrac{2}{9}[/tex]
Learn more about exponent rules here:
https://brainly.com/question/27959936
https://brainly.com/question/27953406
Simplify 3 10 +7 15- 6 10 -4 15
O 3/10-315
O 315-3110
O 3130 -3120
O 3120-3130
Answer:
B
Step-by-step explanation:
Which of the following are solutions to the equation y= - 1/2 x + 3 . —->
Answer:2,2
Step-by-step explanation:
find the size of deb
Answer:
[tex]4x + 3 = 6x - 53 \\ 6x - 4x = 3 + 53 \\ 2x = 56 \\ x = \frac{56}{2} = 28[/tex]
guy pls help me!!!!!
Answer:
19
Step-by-step explanation:
6s-8= 106
6s = 114
s= 19
The sum of 2 numbers is 54. Their difference is 116. What are the numbers?
Answer:
Step-by-step explanation:
first, let the numbers be x and y.
so by question we have,
x+y=54.......(I)
x-y=116......(I I)
now, solve it through elimination method,
x+y=54
x-y=116
here, y and y cancelled out and we get,
or, x+x=54+116
or, 2x=170
or, x=170/2
therefore, x=85
now put value of x in any equation. let's put in eqn (I), we get,
or, x+y=54
or,85+y=54
or, y=54-85
so, y= -31
therefore, the numbers are 85 and - 31.
If I use 1 pound of sausage for 3/4 pound of cheese how much sausage do I need if I use 1 pound of cheese
Answer:
1.33Step-by-step explanation:
3/4 = 0.75 pound
1 : 0.75 = x : 1
x = 1 * 1 : 0.75
x = 1.33
--------------check
1 : 0.75 = 1.33 : 1
1.33 = 1.33
the answer is good
Answer:
[tex]1 \frac{1}{3}lb \: sausage[/tex]
Step-by-step explanation:
What Iike to do is make it like a ratio.
So you have one pound of sausage per 3/4lb of cheese
[tex] \frac{1lb \: sausage}{( \frac{3}{4} )lb \: cheese} = \frac{sausage}{1lb \: cheese} [/tex]
Then you just make that sausage the subject of the equation by multiplying 1lb cheese to both sides of the equation, and you have your answer.
[tex]1lb \: cheese \times \frac{1lb \: sausage}{0.75 \: lb \: cheese} = sausage[/tex]
Need help asp pls pls pls
Answer:
D.
Step-by-step explanation:
u should times each num in brakect 5 times
exp:
-2×-2×-2×-2×-2=-32
For BRAINILY please help I need to pass this class
Answer:
p= 40
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
p+100+40 =180
p+140=180
p = 180-140
p= 40
Answer:
The answer is 40°. W and X are congruent to each other.
Define:
Congruent: Triangles that have both the same shape and the same size.
Straight line= 180degrees
Scalene triangle: A triangle that has no equal sides.
Isosceles Triangle: a triangle that has two sides the same length.
Equilateral triangle: A triangles all three sides are congruent.
Hope this helps!
Please help me...........
write at least 5 arithmetic sequence and determine the common difference
An arithmetic sequence is a sequence where we use addition or subtraction to get to the next term.
Examples:
1, 3, 5, 7, 9...
Common Difference: Add 2
2, 6, 10, 14, 18, 22..
Common Difference: Add 4
100, 90, 80, 70, 60, 50..
Common Difference: Subtract 10.
25, 30, 35, 40, 45..
Common Difference: Add 5
1, 10, 19, 28, 37..
Common Difference: Add 9
Hope it helps!
[tex]ANSWERED:\\GraceRosalia[/tex]
Determine whether each expression is a monomial. Write yes or no. Explain your reasoning. 1. 21/27 2. 32/
Answer:
1. Yes and for 2. I don't know
Step-by-step explanation:
1. is a monomial because 21/27 is one group
The sum of three times a number and seven is equal to the difference of the number and fifteen. Find the number. Round your answer to the nearest integer, if necessary.
Answer:
2
Step-by-step explanation:
Let the number be x
3x + 7=15-x
4x = 8
x=2
A girl rides a bicycle with a speed of 10km/h for 2h and 15km/h for the next 3h. find the distance moved by her and average speed
Three friends split the cost of dinner dinner was 24.18 how much did each friend spend
Answer:
8.06
Step-by-step explanation:
24.18 divided by 3
What is the circumference of this circle?
A.
6π
B.
72π
C.
12π
D.
None of the above
E.
36π
Answer:
Uaiahauqiqioq0a0a9jJbaab
Is line p || to line q? Why?
Step-by-step explanation:
yes, because the angles match. per rule of intersecting lines the angles in one side of an intersected line are the same but mirrored on the other side of the line.
since q behave exactly as p would regarding the intersecting angles, they are parallel.
A local nonprofit organization is selling popcorn to raise money for hurricane relief. The organization paid $4 per bag for the popcorn and sold it for $5 per bag. What was the percent markup on each bag of popcorn?
Find the product.
-a 2b 2c 2(a + b - c)
Answer:
I think the answer is
[tex] { - 8a}^{2} {b}^{2} - {8ab}^{3} + {8ab}^{2} c[/tex]
If f(x)=2x^2-4, find f(0) and f(-3)
Answer:
1st problem. x= √2, -√2 or Decimal form x= 1.41421356...
2nd problem. x= √2/2 , -√2/2 or Decimal form X= 0.70710678...
If BAC = ADB = 90. The value of x is
what number will get you 21.51
Answer:
10.755
Step-by-step explanation:
10.755+10.755=21.51
Answer:
Step-by-step explanation:
a few examples
21 + 0.51
22 - 0.49
10.75 × 2
4.637^2
43.02 ÷ 2
etc....
PLS ANSWER You start a savings account with $200 and save $30 each month. Write a rule to represent the amount of money you invest into your savings account as an arithmetic sequence. How much money will you have invested after 12 months?
Answer:
$560
Step-by-step explanation:
200+30x
x being each month
It takes Tanmy 45 Min To ride her bike 5 miles, At this rate, How long will it take her to ride 8 miles?1) 0.89 hour2)1.125 hours3) 48 Min4) 72 Min
Answer: 72 min (answer 4)
Step-by-step explanation:
if it takes tammy 45 min to do 5 miles then it takes her 9 minutes to do 1 mile so 9*8=72