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Rule:
If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )
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Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.
So,
tan(B) = 1/( tan(A) )
tan(B) = 1/( 0.25 )
tan(B) = 4
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Here's another way to think about it.
If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25
When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,
tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.
For any of these cases, we don't involve the hypotenuse AB.
Solve the following word problems : 1. The sum of two consecutive numbers is 51, find them.
Answer:
25 and 26
Step-by-step explanation:
25+26=51
Hope this helps! :)
Answer and Step-by-step explanation:
We can represent the equation like this:
x + (x + 1) = 51, where x is a number and x + 1 is the consecutive number.
Solve for x.
Add the x's together.
2x + 1 = 51
Subtract 1 from both sides of the equation.
2x = 50
Divide 2 on both sides of the equation.
x = 25
So, the numbers are 25 and 26.
25 + 26 = 51
#teamtrees #PAW (Plant And Water)
1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)
Answer:
3/4
Step-by-step explanation:
We can use the slope formula when given two points
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(1 - -3)
= (5-2)/(1+3)
= 3/4
gradient of line AB (3,7) and (5,11)
Answer:
Gradient is change in y over change in x.
gradient = y1-y2 ÷ x1-x2
=7-11 ÷ 3-5
=-4 ÷ -2
=2
Use the slope/gradient formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
This formula is for when we want to find the gradient when we have two given points. (We also call it Rise Over Run or changes of y over the changes of x.)
We are given two points which are (3,7) and (5,11). Substitute these points in the equation. (the ordered pairs are in (x,y) and not (y,x))
[tex] \large{m = \frac{11 - 7}{5 - 3} } \\ \large{m = \frac{4}{2} \longrightarrow \boxed{m = 2}}[/tex]
Hence, the gradient of AB is 2.
Answer
gradient is 2Find A^c U B if sample space S = {1 to 20}, A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and B = {2, 4, 6, 8, 7, 10, 12, 14, 16, 18}
Answer:
Step-by-step explanation:
S={1,2,...,20}
A={1,2,3,4,5,6,7,8,9,10}
A^c={11,12,13,...,20}
B={2,4,6,8,7,10,12,16,18}
A^cU B={2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20}
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power.
Answer:
The square root is the inverse operation to the power of 2, so that whenever you take a number and perform both actions on it, you get the same number back.
Sample Answer: Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?
Answer:
The committee needs 12 square tables!
Step-by-step explanation:
[tex]8x+6y=150[/tex]
[tex]y=9[/tex]
[tex]8x+6(9)=150[/tex]
[tex]8x+54=150[/tex]
[tex]-54[/tex] [tex]-54[/tex]
[tex]8x=96[/tex]
[tex]/8[/tex] [tex]/8[/tex]
[tex]x=12[/tex]
Hope this helps!
I REALLy need help with these I got them wrong
Answer:
A = (1/2 x b x h ) 4 + l^2
= 1/2 x 5 x 8 x4 + 5 x 5
80 + 25
= D. 105 cm2
Answer:
105
Step-by-step explanation:
PLS HELP!!!
The function c = 1.50(n – 2) + 5.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
A. Each invitation costs $5.50 to print.
B. For each additional invitation, it costs an extra $1.50 to print.
C. One can not print just one invitation.
D. The cost depends on the number of invitations printed.
Answer:
A
Step-by-step explanation:
Hope this helped!
Answer:
i am pretty sure its B
Step-by-step explanation:
6th grade math help me please
Answer: £1.18
Step-by-step explanation: 9.44/8 = 1.18
Zzzzzzzhelpzzzz zzzzzzzz
the answers are A and D hope this helped
Write the equation of a line parallel to y = -2x +4 that goes through (-3,9). Show all
work.
The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.
What was the sale price of the skateboard?
Please answer properly.
Answer:
Step-by-step explanation:
$15 is a constant value while $5 change depending by the hours.
We can write this expression to find the total cost:
5r + 15
part b
1) substitute r with 3
5 * 3 + 15
2) solve the expression
15 + 15 = $30
Find the measure of angle D
Answer:
Step-by-step explanation:
You can't see the picture really well
Question Progress
Homework Progress
136 / 283 Marks
d
+ 2
- +
Make d the subject of the formula h: h=d/3+2
Answer:
d = 3h - 6
Step-by-step explanation:
Given
h = [tex]\frac{d}{3}[/tex] + 2 ( subtract 2 from both sides )
h - 2 = [tex]\frac{d}{3}[/tex] ( multiply both sides by 3 )
3(h - 2) = d , that is
d = 3h - 6
Which of these are a trinomial
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) [tex]c^2+c+6[/tex]
»»————- ★ ————-««
Here’s why:
A trinomial is a expression that consists of three terms. A term can be a number, variable, or both numbers and variables that are multiplied together. Answer choice 'D' has three terms, c², 'c', and '6'. Therefore, it is a trinomial.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
how to solve!? help pls I’ll give brainliest :))
Let me know if anything's unclear
Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
Hoverboard - $125
The perimeter of a regular hexagon is 18 m. How long is each side? for 15 points
(a normal hexagon normally has 5 sides and they are all the same length )
o 3 m
o 4 m
o 2 m
o 5 m
PICK ONE!
Answer:
3 m
Step-by-step explanation:
A hexagon has six sides.
3m x 6 = 18 m
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 9 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
Answer:
11.8 % empty
Step-by-step explanation:
volume of cylinder : pi × r² × h
attention ! the question gives us diameter, so for radius we need to cut them in half.
Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³
Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³
after filling B with everything in A there is still some empty volume in B
Vb empty = Vb - Va = 185.35397... ft³
so,
100% Vb = 1570.79633... ft³
1% Vb = 15.7079633... ft³
so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?
185.35397... / 15.7079633... = 11.8%
What is -33 + m = -29
Answer:
m = 4
Step-by-step explanation:
m = -29 + 33
Answer:
the answer is m=4
hope this helps
have a good day :)
Step-by-step explanation:
33+-29=4
Helpppppppp meeeeeeeeeeeeee
Answer:
18
Step-by-step explanation:
(23+7²)= 23+7×7=72
72÷2²= 18
Solve the inequality and then determine which graph is correct. 55 ≤ 24 + x
Answer:
C is the answer
Step-by-step explanation:
24 + x ≥ 55
x ≥ 31
solutions are all values to the right of 31, including 31
The answer is C.
(Optional) First, reorder the terms of this inequality so you know what you're working with. (x + 24 ≥ 55)
Subtract 24 on both sides of the ≥ sign.
x ≥ 31
When using either ≤ or ≥, it will be a closed circle on a number line. The direction of the sign acts as an arrow that tells you which direction the line will be going.
Help Me please!!!!! Rn
Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
Answer:
A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)
A = 180-120-40
A = 20°
A $108,000 down payment would be? of the purchase price.
Answer: 10.8%
Step-by-step explanation:
The question is asking what the percentage of the down payment is of the purchase price of the house.
For such a question, the purchase price needs to be known.
We shall therefore assume a purchase price and you can use the process to find out your percentage.
Assume the purchase price is $1,000,000.
The percentage would be:
= Down payment / Purchase price * 100%
= 108,000 / 1,000,000
= 10.8%
Answer:
10.8%
Step-by-step explanation:
see above
If X = 14 units and h = 8 units, then what is the area of the triangle shown above?
Answer:
56 units
Step-by-step explanation:
Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.
In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!
[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]
Therefore, the area of the triangle is 56 units.
I hope this helps! Please let me know if you have any questions :)
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
3√2
Step-by-step explanation:
since it is equilateral we can add say base = 2 * [tex]\sqrt{6\\}[/tex]
all sides = 2[tex]\sqrt{6}[/tex]
we use Pythagorean theorem for solving x
a^2 + b^2 = c^2
c^2 - a^2 = b^2
(2[tex]\sqrt{6}[/tex])^2 - (
(24) - (6) = b^2
18 = b^2
b = √18 = √(9*2) = 3√2
please if you find the answer helpful mark it brainiest
Find the median for the following list of values:
1, 2, 4, 7
Answer:
3
Step-by-step explanation:
Since there are an even number of data points (there are 4 points), and since the data has already been written in ascending order, the median is the average of the middle two terms: (2 + 4)/2 = 3
Answer:
Median: 3
Step-by-step explanation:
Median: the number in the middle
1, 2, 4, 7
Median is between 2, 4
Therefore, the median is 3
For an experiment, Doris brought a container filled with snow into a warm environment. After 4
minutes, 12.88 grams of the snow remained. How many grams of snow were in the container
originally if 44% of it had melted after the 4 minutes?
Answer:
23 grams of snow
Step-by-step explanation:
44% melted, so, 100% - 44% = 56% remained.
56% = 12.88 grams
1% = 12.88/56 = 0.23 grams
100% (= original snow) = 100×1% = 100×0.23 = 23 grams
the question is kind of nonsense, because snow is made of water, and that water weighs the same, if it is in snow form or in liquid form. melting it or freezing it does not change its weight. only its volume.
so, actually the container contained 23 grams of water substance at the beginning, and still contains 23 grams of water substance.
Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)
Answer:
12) A
the values are each devided by three then multiplied by 4
13) C
values are 4 times as big as in the right figure
14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point
x is option A
and y is option C