Find the length of side BC.
Give your answer to 1 decimal place.
Answer:
BC ≈ 11.9 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin58° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{14}[/tex] ( multiply both sides by 14 )
14 × sin58° = BC , thus
BC ≈ 11.9 cm ( to 1 dec. place )
The length of the side BC of the triangle is 11.58 units.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the angle of the triangle is 58 and the hypotenuse is 14 cm.
The side BC will be calculated as,
14 × sin (58°) = BC
BC = 11.58 units
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Anyone know how to do this? Need answers ASAP
Answer:
Sutraction property of equality
Step-by-step explanation:
Find and interpret the mean absolute deviation of the data.
24, 26, 28, 28, 30, 30, 32, 32, 34,36
Answer:
hi will u follow me?
in roblox username gameitrexplayzYT
Step-by-step explanation:
Mimi cycled a total of 12 kilometers by making 3 trips to work. After 4 trips to work, how many kilometers will Mimi have cycled in total?
Answer
Mimi made a total of 16 kilometers
Step-by-step explanation:
Challenge The price of Stock A at 9 A.M. Was $13.63. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $14.38. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
3.75 hours
Step-by-step explanation:
Let us represent the number of hours = x
The price of Stock A at 9 A.M. Was $13.63. Since then, the price has been increasing at the rate of $0.06 each hour.
$13.63 + $0.06× x
= 13.63 + 0.06x
At noon the price of Stock B was $14.38. It begins to decrease at the rate of $0.14 each hour.
$14.38 - $0.14 × x
14.38 - 0.14x
If the two rates continue, in how many hours will the prices of the two stocks be the same?
Stock A = Stock B
13.63 + 0.06x = 14.38 - 0.14x
Collect like terms
0.06x + 0.14x = 14.38 - 13.63
0.20x = 0.75
x = 0.75/0.20
x = 3.75 hours
The prices of the two stocks will be the same after 3.75 hours
Estimate.
509 × 36
help plz!
Answer: ≈20,400
Explanation:
Theoretically, you'd bring 509 up to 510 and 36 up to 40.
510 x 40= 20,400
Sorry if I'm wrong ^^
i need help quick!! this is unit 1:geometry basics. homework 5: angle relationships if anyone know tell me
Answer:
Five angle relationships are;
1) Adjacent angles
2) Alternate exterior angles
3) Corresponding angles
4) Alternate interior angles
5) Vertically opposite angles
Step-by-step explanation:
1) Adjacent angles;
Adjacent angles are angles that lie side by side to each other and have no common interior points
2) Alternate exterior angles are angles located on the opposite location of a transversal that crosses two lines and both are on the external region of the lines that are crossed by a transversal
Alternate exterior angles are equal where the two lines crossed by the transversal are parallel
3) Corresponding angles are angles located on corresponding side of a two lines that are crossed by a transversal
4) Alternate interior angles, are angles located on the opposite location of a transversal that crosses two lines and both are on the internal region of the lines that are crossed by a transversal
5) Vertically opposite angles, are angles formed on the opposite sides where two lines cross. Vertically opposite angles are always equal.
A sweater at Hollister costs $42. After-tax the sweater is $44.94. What is the sales tax rate?
Answer:
2.00$ and 94¢is the tac
Tax rate = 7%
What Is a Tax Rate?
A tax rate is the percentage at which an individual or corporation is taxed. The United States (both the federal government and many of the states) uses a progressive tax rate system, in which the percentage of tax charged increases as the amount of the person's or entity's taxable income increases.
Given,
Hollister costs = $42
After tax Hollister costs = $44.94.
tax amount = 44.94.- 42 = 2.94
Tax rate = (After tax Hollister costs - Hollister costs)/Hollister costs
Tax rate = (44.94.- 42)/42
Tax rate = 2.94/42
Tax rate = 0.07
Tax rate = 7%
therefore, the tax rate for the sweater is 7%
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Can somebody please help me ?? :)
Answer:
first option
Step-by-step explanation:
Multiplying a complex number by its conjugate gives a real number and thus removes imaginary numbers in the denominator.
If z = a + bi then its conjugate is a - bi and their product
(a + bi)(a - bi) → where a and b are real
= a² + b² ← a real number
Camila is competing in a 26-mile race. She runs at a constant speed of 12.5 mi/h. Write an equation in slope intercept form to represent
the distance Camila has left to run after x hours. How many hours will it take her to finish the race?
Answer:
2.08 or 2
Step-by-step explanation:
26 = 12.5x
y=mx+b
it will approximately take 2 hours, but to be exact, 2.08
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation 10x+12y=300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.
Question:
a. Graph the equation.
b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.
Answer:
See attachment for graph
12 long-sleeved shirts
Step-by-step explanation:
Given
[tex]10x + 12y = 300[/tex]
Plotting the graph:
Set x = 0
[tex]10(0) + 12y = 300[/tex]
[tex]12y = 300[/tex]
[tex]y = 300/12[/tex] --- divide through by 12
[tex]y = 25[/tex]
Set x = 0
[tex]10x + 12(0) = 300[/tex]
[tex]10x = 300[/tex]
[tex]x = 300/10[/tex] --- divide through by 10
[tex]x = 30[/tex]
So, the graph will be plotted using: (0, 25) and (30, 0)
See attachment for graph
Determine y when x = 12
[tex]10x + 12y = 300[/tex]
[tex]10(12) + 12y = 300[/tex]
[tex]120 +12y = 300[/tex]
[tex]12y = 300 - 120[/tex] --- collect like terms
[tex]12y = 180[/tex]
[tex]y = 180/12[/tex] -- solve for y
[tex]y = 15[/tex]
The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
25.252
Step-by-step explanation:
Find the center of the equation 4x2 + y2 + 8x-5= 0.
Answer:
(-1,0)
Step-by-step explanation:
Plug it into desmos graphing calculator exactly how it is.
1: if Tim does not buy DEF, how many can he spend on ABC?
2: how many shares of ABC can he buy if he does not buy DEF?
3: if the selling price is $1,750, how much will Tim have earned by investing?
4: what is the total return divided by the total cost In this example?
Answer:
1. $1400
2 329.4 shares
3. $350
4. 1.25
Step-by-step explanation:
1. if Tim does not buy DEF, how many can he spend on ABC?
From the attached image
100 shares for ABC = $425
100 shares for DEF $600 + $375 commission
Therefore, the amount he can spend on ABC without buying DEF = $600 + $375 + $425 = $1400
2: how many shares of ABC can he buy if he does not buy DEF?
$425 = 100 shares
$1400 =
Cross Multiply
= $1400 × 100 shares/ $425
= 329.41176471 shares
= 329.4 shares
3: if the selling price is $1,750, how much will Tim have earned by investing?
The cost of buying ABC = $1400
The Amount earned from investing = $1750 - $1400
= $350
4: what is the total return divided by the total cost In this example?
Total return = $1750
Total cost = $1400
= $1750/$1400
= 1.25
Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.
3x+6+1=2x+8+2x
Answer:
One solution
Step-by-step explanation:
X is equal to -1 meaning you can only plug in -1 for this equation to be true and not any other number
find out the value of x in the following polygon with the formula
Answer:
50
Step-by-step explanation:
ABCD is quadrilateral. Sum of all the angles in a quadrilateral is 360. This means angle ADC will be 130.
ADE is a straight line. Angle ADC and angle CDE should sum up to 180. From here we can infer that angle CDE=x is 50
23) 2,747
What’s the quotient
Answer:
119.434783
Step-by-step explanation:
Long division.
Value of x
(6x+2)°
(5x+22)°
Answer:
x=20°
Step-by-step explanation:
(6x+2)° and (5x+22)° are vertically opposite angles, hence VOA angles are equal so
(6x+2)°=(5x+22)°
6x°+2°=5x°+22°.... collect the like terms
6x°-5x°=22°-2°
x°=20°
4 times a number equal 5 less than a number times 8.
Answer:
4n=8n-5
Step-by-step explanation:
Answer:
Let the number be x
As per statement, 7 less than 4 times a number equals 13
4x - 7 = 13
4x = 13 + 7
4x = 20
x = 20 / 4
x = 5
The number is 5
Answer the number is 5
Let us check the correctness of answer by following the statement viz 7 less than 4 times a number equals 13
4 × 5 - 7 = 13
20 - 7 = 13
13 = 13
Means answer is correct
Step-by-step explanation:
Please help I need one more answer to pass
Answer:
20 cm
Step-by-step explanation:
12^2 = 144
16 ^ 2 = 256
256+144 = 400
sqrt(400) = 20
hope this helps!
Answer:
The hypotenuse is 20 cm :)
Step-by-step explanation:
Using a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
c = sqrt(400)
c = 20 cm
Can someone help me out please txt 100 points no problem
Answer:
trigonometry: a^2+b^2=c^2
7= slant
4= half of base (8/2)
[tex] {7}^{2} + {4 }^{2} = \sqrt{65} [/tex]
[tex] \sqrt{65} = 8.06[/tex]
he is 6.5 so yeah he can fit
Explain how do you know when an equation is completely solved.
Consider the diagram below.
1) The measure of
2) The sum of m
Answer:
<a=61 m<c and m<b=90
Step-by-step explanation:
7. The function A(t) = Pe" is used to calculate the balance. A, of an
investment in which the interest is compounded continuously at an
annual rate, r, over t years. Find the inverse of the formula. Describe
what information the inverse gives.
Answer:
lol i don’t have an answer but hey averi, i’m struggling too.
Step-by-step explanation:
1 over 7 of 2 over 5 is equal to
Answer:
2/35
Step-by-step explanation:
1 over 7 is 1/7, of means times, and 2 over 5 is 2/5, so 1/7*2/5
Hope that this helps!
You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding the go-carts for $8 per ride (r), and using the batting cages, for $6 per set of baseballs (s). What is the equation for the total number of rides on the go-carts and sets of baseballs you can get at the batting cages for your total amount of money you brought? If you ride the go-carts 14 times, how many sets of baseballs can you get at the batting cages according to the equation?
Answer:
[tex]8r + 6s = 100[/tex] --- (a)
[tex]s = -2[/tex] ---- (b)
Step-by-step explanation:
Given
Per ride (r) = $8
Per baseballs (s) = $6
Total = $100
Required
Represent using an equation
If 1 ride is $8.
r rides would be 8r
If 1 baseball is $6
s baseballs would be 6r.
So, total is:
[tex]8r + 6s = 100[/tex]
Solving (b):
Value of s when r = 14
[tex]8r + 6s = 100[/tex]
Substitute 14 for r
[tex]8 * 14 + 6s = 100[/tex]
[tex]112+ 6s = 100[/tex]
Solve for 6s
[tex]6s = 100 - 112[/tex]
[tex]6s = -12[/tex]
Solve for s
[tex]s = -12/6[/tex]
[tex]s = -2[/tex]
Which of these describes the best situation to use a bar chart to display your data? 1. When your independent variable is qualitative, and your dependent variable is qualitative 2. When your independent variable is qualitative, and your dependent variable is qualitative 3. When your independent variable is quantitative, and your dependent variable is qualitative 4. When your independent variable is quantitative, and your dependent variable is qualitative 5. When your independent variable is qualitative, and your dependent variable is quantitative 6. When your independent variable is qualitative, and your dependent variable is quantitative When your independent variable is quantitative, and your dependent variable is quantitative
Answer:
The correct option is;
5. When your independent variable is qualitative, and your dependent variable variable is quantitative
Step-by-step explanation:
A bar graph is a graph that is used for the comparison of the measured values of different groups of items and are typically used for comparison of data that belong to different categories rather than for comparison of a continuous data set, such that the categories of the data are presented in columns of a particular category along the horizontal axis, while the vertical represents the measured value for each category
Therefore, given that the independent variable is normally presented along the horizontal axis, and the dependent variable is normally presented along the vertical axis, we have that the bar chart is best suited when the independent variable is qualitative and the dependent variable is quantitative.
Answer:
The correct answer would be 5)When your independent variable is qualitative, and your dependent variable is quantitative.
, use a number line. Start at 0. Move forward 5 and then back up 7. How many yards must he get to get back to 0?
Answer:
2 yards.
Step-by-step explanation:
If you do what was stated in the problem, you would be left at -2. So, you would need to move up 2 yards to get back to 0.
Answer:
He must move two yards to get back to zero.
Step-by-step explanation:
He started at 0.
Moved forward 5 on the number line which puts him at 5
Then he moved back 7 which puts him at -2 on the number line
So from -2 on the number line he has to move 2 spaces to the right to get back to 0.
Hope this helps!! And good luck!
Given the function f(x) = 5x -1, what is the value of f(4)?
O 1
019
O4
-1
N
Choose the possible correct names for the highlighted angle. (There are
more than one correct answers) ****picture