Answer:
67.938 =
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Step-by-step explanation:
Here, we want to write the given number in expanded form
Mathematically that will be ;
60 + 7 + 0.9 + 0.03 + 0.008
Using the power of 10, that will be;
(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)
Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate the missing attributes of the triangle.
Answer:
A. The length of the third side is approximately 5 feet.
B. A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B
= [tex]6^{2}[/tex] + [tex]3^{2}[/tex] - 2(6 x 3) Cos [tex]60^{o}[/tex]
= 36 + 9 - 36 x 0.5
= 45 - 18
[tex]b^{2}[/tex] = 27
b = [tex]\sqrt{27}[/tex]
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B = [tex]60^{o}[/tex], then let us apply the Sine rule to determined the measure of A.
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
So that,
[tex]\frac{6}{Sin A}[/tex] = [tex]\frac{5.2}{Sin60^{o} }[/tex]
Sin A = [tex]\frac{0.886*6}{5.2}[/tex]
Sin A = 0.99923
A = [tex]Sin^{-1}[/tex] 0.99923
= 87.75
A ≅ [tex]88^{o}[/tex]
Since the sum of angle in a triangle = [tex]180^{o}[/tex].
Then,
A + B + C = [tex]180^{o}[/tex]
[tex]88^{o}[/tex] + [tex]60^{o}[/tex] + C = [tex]180^{o}[/tex]
[tex]148^{o}[/tex] + C = [tex]180^{o}[/tex]
C = [tex]180^{o}[/tex] - [tex]148^{o}[/tex]
= [tex]32^{o}[/tex]
C = [tex]32^{o}[/tex]
Thus,
A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].
Please help, I have nothing good to offer though.
Which inequality is true? 5/6 < -1/3
2 1/3 > 2 1/6
2 < -2 1/3
1 1/4 > 1 1/3
What is the slope of the line that passes through the points (-2.5) and (1, 4)
Answer:
-2/1
Step-by-step explanation:
hope this helps
Tatum exercised for 55 minutes. 10% of that
time was spent warming up. How many
minutes did Tatum spend warming up?
Answer:
5.5 minutes
Step-by-step explanation:
55/10=5.5
5.5 of 55 is 20%
Or 5 minutes and 30 seconds
I need help please #22
Answer:
8 because u need to divide 40 by 5
HELP PLEASE what's the slope of the line?
Step-by-step explanation:
The slope of a line characterizes the direction of aline. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
the slope of the line would be 1/2 I think
what is the answer ?
Answer:
C and D
Step-by-step explanation:
Now, I'm not 100% sure on this answer. But, these two look the most efficient answers to go for.
I hope this helps you!
The table below shows the amount of flour needed for each recipe. Sort the list below from
greatest to least amount of flour needed per serving.
Cups of Flour
Serving Size
Recipe A
1
Recipe B
Recipe C
를
Recipe D
1 2 3 를
Recipe A, Recipe B, Recipe C, Recipe D
Answer:
d,c,b,a
Step-by-step explanation:
Whats the percent of 550% of 22
Answer:
121
Step-by-step explanation:
Convert 550% into a decimal by moving the decimal point 2 times to the left. 5.5. Then multiply 5.5 x 22 to get 550% of 22.
Students in Mr. Tallow's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?
Answer:
70
Step-by-step explanation:
280×25%=70 pages per night
Answer:
70
Step-by-step explanation:
Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground is the kite flying? Round answers to the nearest tenth place.
Answer:
149.8 feet
Step-by-step explanation:
θ = Angle of elevation = 33°
The length of string Jaden lets out = Hypotenuse = 275 feet.
How high above the ground that the kite is flying = Opposite Side.
We are solving this question using the Trigonometric function of Sine
Sin θ = Opposite Side/Hypotenuse
Sin 33 = Opposite/275 feet
Cross Multiply
Sin 33 × 275 feet = Opposite
Opposite side(Height ) = 149.77573463 feet
Approximately to the nearest tenth = 149.8 feet
I need help I feel like it's right but then again I get confused on these
Answer:
Ye im pretty sure your right
Step-by-step explanation:
An auto repair shop took 2.5 hours to fix Jaime’s car. The cost of the parts needed was $93, and the total bill was $248. What did the repair shop charge per hour for labor?
(PLEASE ANSWER!!!)
Answer:
$62 dollars an hour
Step-by-step explanation:
2.5x+93=248
248-93=155
2.5x=155
155/2.5=x
x=$62 dollars an hour
A farm has chickens and horses. All the horses have 4 legs and all the chickens have 2 legs. All together, there are 94 horses and chicken legs on the farm. Complete the table to show some possible combinations of chickens and horses to get 94 total legs.
number of chickens (x) number of horses (y)
35
7
10
19
5
Answer:
bears beets battlestar galactica
Step-by-step explanation:
Answer:
37x 5y
Step-by-step explanation:
37×2= 74 and 5×4 is 20 (74 +20)= 94
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
The _________________________________ is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Answer:
Constant of proportionality
Step-by-step explanation:
There is nothing to explain
Ms. Jacobsen is tilling her basement floor. The floor is in the shape of a rectangle with a length of 240 inches and a width of 180 inches. Ms. Jacobson uses tiles that are 1 square foot in size. How many tiles does Ms.Jacobsen need to cover her basement floor?
Answer:
Total number of tile used = 300
Step-by-step explanation:
Given:
Length of floor = 240 inches = 240 / 12 = 20 ft
Width of floor = 180 inches = 180 / 12 = 15 ft
Size of each tile = 1 square foot
Find:
Total number of tile used
Computation:
Area of floor = 20 x 15
Area of floor = 300 square foot
Total number of tile used = Area of floor / Size of each tile
Total number of tile used = 300 / 1
Total number of tile used = 300
ASAP solve 21x+6=300 30 points
Answer:
x = 14
Step-by-step explanation:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.
Sarah has 13 gallons of gas in her car at the beginning of a trip. Every hour Sarah drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven. I need A function relating these variables is C(x)=?
(need help kinda quick, pls and thank you!)
URGENT NEED OF HELP PLEASE ILL GIVE BRAINLEST
Answer:
umm.. I think the answer choices are wrong because the slope is -2.
y = mx + b
y = (slope)x + (y-intercept)
y = -2x + 4
and i have proof!
Step-by-step explanation:
What is the y-intercept of the equation?
Answer:
5
Step-by-step explanation:
Y=-3x+5
square root of 1.6 and 8.2 and 24 and 26
Negative 1.5 (4 minus r) = negative 12
Answer:
r = - 4
Step-by-step explanation:
Given
- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )
4 - r = 8 ( subtract 4 from both sides )
- r = 4 ( multiply both sides by - 1 )
r = - 4
Answer:
12
Step-by-step explanation:
1.5(4-r) = -12
To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.
With the simplified expression, you can solve for r.
Subtract 6 from both sides then divide by -1.5.
-1.5r=-18
r=12
Helppppppppppppppppppp me Write this rate as a unit rate. 7/5 miles 2/3 hour
A ten pound bag of cherries cost $33.50. How much is one pound of cherries?
Complete the latter: 1, 5, 9, 13.
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
The answer is 17 because We noticed that 5 is 4 more than 1, 9 is 4 more than 5, and 13 is 4 more than 9. They are all a +4 pattern so you just simply add 4 to 13 which is 13 + 4 + 17 So our answer is 17
. The units sold follows the equation U = 10000 – 2000P. The money from sales is equal to the units sold times the price P of the unit. Write an equation for sales as a function of price.
Given:
The units sold follows the equation
[tex]U = 10000-2000P[/tex]
To find:
An equation for sales as a function of price.
Solution:
Let S represents the sales function.
We know that, the money from sales is equal to the units sold times the price P of the unit.
[tex]S=U\times P[/tex]
[tex]S=(10000-2000P)\times P[/tex]
Using distributive property, we get
[tex]S=10000P-2000P^2[/tex]
Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].
13- (8x - 5) – 16x
Help please!
Choose the equivalent equations!
-18x plus 8
-18x plus 57 over 4
18x plus 13 - 5 over 4
-18x plus 13 plus 5 over 4
Answer:
The answer is 6(3-4x) because I just did on a test
On a test that has a normal distribution, a score of 41 falls three standard deviations below the mean, and a score of 73 falls one standard deviation above the mean. Determine the mean of this test.
Answer:
The mean of the test is 65
Step-by-step explanation:
Let the mean be x and SD be y
3 SD BELOW the mean means that we are taking away 3 SD FROM the mean
Mathematically, we have that as;
x - 3y = 41 •••••(i)
73 is 1 SD above mean
Mathematically;
x + y = 73 ••••••••(ii)
So let us solve both equations simultaneously
Simply multiply equation ii by 3 then add to i
x - 3y = 41
3x + 3y =219
4x = 41 + 219
4x = 260
x = 260/4
x = 65
Answer:
its actually 35
Step-by-step explanation:
Find the equation in slope-intercept form that passes through the points (9, 3) and (19, -17).
Answer:
y=-2x+21
Step-by-step explanation:
use y2-y1/x2-x1 to find the slope so= -17-3/19-9=-20/10=-2
so once you find the slope take one of the points and plug it into the slope-int equation so... if you take (9,3) and take your slope (-2) so it would be: 3=-2(9)+b solve for b to get 21=b as your int. so.. y=-2x+21