Answers
Given:
The figure of a right angle triangle.
To find:
The length of the line segment AC.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
In the given right triangle ABC,
[tex]\tan (A)=\dfrac{BC}{AC}[/tex]
[tex]\tan (55^\circ)=\dfrac{BC}{AC}[/tex]
[tex]\tan (55^\circ)=\dfrac{15}{AC}[/tex]
[tex]AC=\dfrac{15}{\tan (55^\circ)}[/tex]
On further simplification, we get
[tex]AC=\dfrac{15}{1.428148}[/tex]
[tex]AC=10.503113[/tex]
[tex]AC\approx 10.5[/tex]
The length of side AC is equal to 10.5 m .
Therefore, the correct option is A.
Related Questions
Which expression is equivalent to 6(-7k - 2) + 6k?
-12k - 36
-K - 12
-36k - 2
-36k - 12
Answers
Answer:
-36k - 12 that is the answer
HELP A KID IN NEED
IM JUST A CHILD TRYING NOT TO FAIL MATH
Simplify the expression. 3z+14+5z-9
IM GIVING ALOT OF POINTS PLEASE HELP ME
please
lol sorry I'm kind of desperate
HELPPPP
Answers
Answer:
8z+5
Step-by-step explanation:
Let's split the expression into two terms- z and... not z :)
3z+5z=8z
Why? it's just 3+5 with z tacked on the end
14-9=5
simple math :)
put it together to get
8z+5
all done!
lmk if you have any more questions
Write an equation in slope-intercept form that represents the situation:
Bill started with 15 pairs of shoes. On average, Bill buys 7 new pairs of shoes every 2 months.
Answers
Answer:
y = 3.5x + 15Step-by-step explanation:
Number of months is x, and number of pairs of shoes after each month is y.
7 new pairs of shoes every 2 months means that after each month:
y = 7/2 x
We need to add the 15 pairs from start.
y = 3.5x + 15
Graph
How to put -31/2 , 21/2 on a graph
Answers
1. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2=5
2. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=1/2(x+4)^2-13
3. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-(x-14)^2+17
Answers
Answer:
1a) opens down
b) don't know because equation has two equal signs
c) don't know because equation has two equal signs
2a) opens up
b) (-4, -13)
c) x = -4
3a) opens down
b) (14, 17)
c) x = 14
Step-by-step explanation:
does someone know tha answer??
Answers
Answer:
either 5 or 6 months
Step-by-step explanation:
Tom M Jerry
500 1 125
475 2 175
450 3 225
425 4 275
400 5 325
375 6 375
i need help with this geometry assignment please.
Answers
Answer:
172.8 is the area of the parallelogram
Find the value of X.
Answers
Answer:
its 70
Step-by-step explanation:
he angle subtended by an arc at the centre of a circle is twice the angle subtended by the same arc at any other point on the remaining part of the circle.
2∠ACB=∠AOB
∠AOB=2×35=70°
Ms. Abaza is a salesperson at a car dealership. She will receive
a bonus if she sells more cars this year than last year. Last
year, she sold 108 cars. This year, her goal is to sell 225% as
many cars. How many cars must she sell to reach her goal?
Plz help
Answers
Answer:
A
Step-by-step explanation:
Answer:243
Step-by-step explanation:
what is the answer to 1 3 x + 5 x = -6
Answers
Answer:
x2-6=5x
Step-by-step explanation:
Answer:
x = -1/3
Step-by-step explanation:
13x + 5x = -6
=> 18x = -6
=> x = -6/18
=> x = -1/3
Hope it helps :)
please mark my answer as the brainliest
This recipe makes 8 flapjacks.
How much of each ingredient is needed to make 12 flapjacks by following this recipe?
Recipe: Makes 8 flapjacks
140 g margarine
120 g sugar
100 mL syrup
240 g oats
50 g raisins
Answers
Answer:
Margarine = 210 gram
Sugar = 180 gram
Syrup = 150 ml
Oats = 360 gram
Raisins = 75 grams
Step-by-step explanation:
Given:
Recipe for 8 flapjacks
140 g margarine
120 g sugar
100 mL syrup
240 g oats
50 g raisins
Find:
Recipe for 12 flapjacks
Computation:
Margarine = [140/8]12
Margarine = 210 gram
Sugar = [120/8]12
Sugar = 180 gram
Syrup = [100/8]12
Syrup = 150 ml
Oats = [240/8]12
Oats = 360 gram
Raisins = [50/8]12
Raisins = 75 grams
Consider the equation:
0 = x^2 - 10x + 10
1) Rewrite the equation by completing the square.
Your equation should look like (x + a)2 = b or (x - c)2 = d.
Answers
Isolate the constant term
x² - 10x = -10
Complete the square
• coefficient of the x term: -10
• divide in half: -5
• square it: (-5)² = 5²
• add 5² to both sides, to complete the square and keep the equation balanced:
x² - 10x + 5² = -10 + 5²
(x-5)² = 15
Answer:
1) We can rewrite the equation as 15=(x-5)^2
2) The solutions to the equation are x=5±15
PLEASE QUICK WILL GIVE BRAINLESS
Which number is the additive inverse of -44 -422 -47 1 2 2
Answers
Answer:
Multiplicative inverse of 2 1 2
The opposite of 212 is −12 . The reciprocal of 212 is 25
Step-by-step explanation:
What are the sides of a equilateral triangle with a height of 7
Answers
Answer:
[tex]\frac{14\sqrt{3} }{3}[/tex]
Step-by-step explanation:
What is the radius and diameter of the following circle?
Answers
Answer:
radius is 11cm diameter is 22cm
Step-by-step explanation:
Answer:
Radius: 11
Diameter: 22
Step-by-step explanation:
The radius is the 11 being shown, the diameter is 2 times the radius.
Hope this helps!
Arkadaşlar yardım edin EN İYİ SEÇERİM
Answers
Answer:
seviye 2
a=3 b=3
c=5 d= -1
seviye 3
a x=5 b x=15
c x=15 d x=9
one number is 5 more than 4 times another number. their sum is 35. find the 2 numbers
Answers
5x=30
x=6
4x+5=29
If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O' be?
Answers
9514 1404 393
Answer:
90°
Step-by-step explanation:
Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.
_____
Additional comment
No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.
Evaluate:
26
(2n +5) = [?]
Answers
Answer:
52n + 130
Step-by-step explanation:
Distribute
26 (2n + 5)
52n + 130
Solution
52n + 130
Find the slope
Y=-5x-1
Answers
Answer:
-5
Step-by-step explanation:
y=mx+b
m is the slope
y=-5x-1
the slope is -5
Answer:
-5
Step-by-step explanation:
.
Let f(x) = -x + 3
Find f(2)
f(3)=
Answers
Answer:
1
Step-by-step explanation:
f(2) = -2+3
=1
please help a girl out I'm so confused
Answers
Answer:
first pays 60
Step-by-step explanation:
Please help me, Please real answers only thanks
Answers
Answer:
A.
Step-by-step explanation:
substitution of coordinates
Round to the nearest thousand. 6,159
Answers
Answer:
6,000
Step-by-step explanation:
To round to the nearest thousand, you keep the digit in the thousands and round up or down, clearing all other smaller units. You round up when the next largest digit, in this case, the hundreds, is 5 or larger. Meanwhile, you round down when it is 4 or smaller. Here it is 1, so you round down to 6,000. If it was 5 or larger, you would round up to 7,000.
6,000
To round a number we look at the number that is right of the one we are rounding. If the number to the left is 4 or under, you round down. If it's 5 or above, you round up.
Hope it helps! Good luck!! :D
For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object has a volume of 20 cubic inches and weighs 28 ounces, what is the constant of variation?
Answers
Answer: 7/5
Step-by-step explanation:
Explain the prices of dividing two fractions
Answers
Answer:
When dividing two fractions, the process is very easy. You simply multiply the numerator fraction by the reciprocal of the denominator fraction. In other words:
[tex]\frac{a}{b} \div \frac{c}{d} \\= \frac{a}{b} \times \frac{d}{c} \\= \frac{a \times d}{b \times c}[/tex]
Find the area of a circle with a diameter= 6.8cm
Answers
Answer: 36.32
Step-by-step explanation:
Area of circle is π(r^2)
r is d/2
= 3.14*((6.8/2)^2)
=36.32
Asap, need help. Thanks if your going to help me! Please explain the steps!
Answers
Answers:
Person A receives at least 800 dollars, but no more than 1600 dollarsPerson B receives at least 1000 dollars, but no more than 2000 dollars=============================================================
Explanation:
We don't have enough information to nail down exact figures, but we can make a range estimate.
The two people (call them A and B) share the profits in the ratio of 4 to 5
In shorthand notation, we can say the ratio is 4:5
This means person A gets 4x dollars while person B gets 5x dollars
The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.
The total profit is therefore 4x+5x = 9x dollars
This expression 9x is between 1800 and 3600 dollars, including both endpoints
We then can say...
[tex]1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400[/tex]
We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.
The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.
-------------------------
To summarize:
Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.
-------------------------
Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.
Please help!! It is timed..
Answers
What is the answer!!!!!?
Answers
Answer:
29 degrees
Step-by-step explanation:
Given
<D = 2x+8
<A = 122
The sum of the adjacent angle of the trapezoid is 180 degrees
<D + <A = 180
2x + 122 = 180
2x = 180-122
2x = 58
x = 58/2
x = 29 degrees
Hence the value of x is 29 degrees