Answer:
Either 9.71 (adjacent to 36°) or 7.05 (opposite 36°)
Step-by-step explanation:
The question doesn't specify which leg is under question. Is it the adacent leg or the opposite leg? I'll assume adjacent.
We can use the acronym
SOHCAHTOA which is a helpful mnemonic for remembering the definitions of the trigonometric functions. For an angle other than the right angle, the following relationships are defined.
SOH: S is sine = Opposite/Hypotenuse
CAH: C is cosine = Adjacent/Hypotenuse
TOA: T is tangent = Opposite/Adjacent
For a side adjacent (A) to the 36° angle, we can use
Cosine = Adjacent/Hypotenuse
Since we know the hypotenuse (12) we can find A:
Cosine(36) = A/12
A = Cosine(36)*12
A = (0.809)*12
Adjacent = 9.71
====================
If the opposite leg is calculated, we would use
Sine= Opposite/Hypotenuse
Sine(36) = Opposite/12
O = (0.5877)*12
Opposite = 7.053
hhhheeeepppp pleas e e e e e e e e e e e e e e branlist
Answer:
27
Step-by-step explanation:
a+b/2 times h
thats teh formula for the area of a trapezoid so a and b are the top and bottom sides of the trapezoid
so 6 on the bottom and 3 on the top
add those and it equals 9 then divide by 2 gives us 9/2
then the height would be 6
so we multiply 9/2 by 6 giving us 54/2
simplified equals 27 so ur answer would be 27 units squared
Answer:27
Step-by-step explanation:
Complete this statement using >, <, or =
0.248_____0.259
Answer:
Here the most appropriate answer is '>'
Thus it will be 0.248 > 0.259
Divide. Express your answer in simplest form.
11/12 ÷ 3/4=
Answer:
11/9
hope this helped :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
11 / 12 = 0,91 and a periodic 6
3 / 4 = 0,75
11 / 12 = 3 / 4 = 0,916 ÷ 0,75
The cost of 9 scarves is $56.25. What is the unit price?
Answer:
6.25
Step-by-step explanation:
an anchor line for a tower needs to be replaced the tower is 96ft tall. the anchor line is 105ft long. how far from the tower can it be placed, to the from the nearest tenth
a). 142.3ft
b). 42.5ft
c). 9ft
d). 60 ft
Answer: 42.5ft
Step-by-step explanation: The wording in your question is a little unclear. I assume that you are looking for how far the anchor line is from the base of the tower.
If so, you can use the Pythagorean Theorem.
a^2 + b^ = c^2
96^ + b^2 = 105^2
Solve for b, gives you about 42.53ft round up and it is 42.5 ft :)
Happy to help
10 is 70% of what number? If necessary, round to the nearest tenth.
Answer:
The required answer is 7.
Step-by-step explanation:
=10*70/100
=7
A dairy facility has a bulk milk tank that is shaped like a right circular cylinder. The
tank has a height of 12 feet and a diameter of 216 inches.
Answer:336
Step-by-step explanation:
12
216 = 336
Mark scored 138 points in 6 games. How many points did he score per game?
Answer:
23 Points
Explanation:
The answer you are looking for is 23 points per game.
To find this answer, you simply divide 138 by 6.
I hope this helps!
Felix said quadrilateral ABCD is a parallelogram because
BE = DE. What was his error?
Answer:
There is no angle E in the quadilateral presented in the question. Also, the angles he used are not on opposite side.
Step-by-step explanation:
To classify a quadrilateral is a parallelogram, a quadrilateral with both pairs of opposite sides must be parallel or congruent, that is in a quadrilateral ABCD, angle AB must equal CD and angle AD must equal BC.
Hence, when Felix said quadrilateral ABCD is a parallelogram because of BE = DE. His error was that "there is no angle E in the quadrilateral presented in the question and the angle he used are not on opposite side"
A rectangle has a length of 2x+7 and a width of 3x+8. Write and simplify an expression for the perimeter of that rectangle.
A perimeter is a sum of lengths of sides of a lateral.
[tex]2x+7+3x+8=5x+15[/tex].
A country trying to decide whether to join the United Nations must determine whether it is willing to: O A. give up its own national laws in favor of international laws set by the UN. O B. occasionally go against its own interests in favor of international priorities. O C. supply a large number of military forces to the UN standing army. O D. leave any regional intergovernmental organizations it has already joined.
Answer:
to guarantee equality for all
Step-by-step explanation:
The league of nations was created to prevent another global war
S
3 ft
Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate .
4 ft
5 ft
5 ft
A = [ ? ] ft2
Notice that only half of the circle is included in the figure!
9514 1404 393
Answer:
26.13 ft²
Step-by-step explanation:
The total area is twice the area of the right triangles plus half the area of a circle of radius 3 ft.
Semicircle area = (1/2)(πr²)
semicircle area = (1/2)(3.14)(3 ft)² = 14.13 ft²
The area of the two right triangles is ...
total triangular area = (3 ft)(4 ft) = 12 ft²
Then the area of the figure is ...
figure area = semicircle area + total triangular area
= 14.13 ft² + 12 ft² = 26.13 ft²
Answer: 26.13
Step-by-step explanation:
Dana is buying Grandparents Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends
4
5
of that on a coffee mug for her grandfather. How much money does Dana spend in all?
Answer:
$24.75
Step-by-step explanation:
4/5 of 13.75 = 11
11+13.75= 24.75
Dana spends $24.75 in all.
What is an Equation ?An equation is a mathematical statement that equates two algebraic expression by an equal sign.
The data given in the question is
Dana spends $13.75 on a teacup for her grandmother
She spends 4/5 of that on a coffee mug for her grandfather.
The total amount she spends is given by $x
The equation becomes
x = 13.75 + (4/5) * 13.75
x = $24.75
Therefore she spends $24.75 in all.
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help, please I don't understand
Answer:
The second top one. if they have ANY repeating y values its not a function
Step-by-step explanation:
HELP PLEASE!! I WILL GIVE BRAINLIEST
Kevin went to the nursery and bought a 5 ft tall tree. After planting the tree, Kevin made a table to record the
height, h, of the tree, t years after it was planted. Verbally describe the relationship between h and t. (make an equation to illustrate the relationship between the height of the tree
and the number of years since it was planted. How tall will the tree be in 8 years?)
solve for x for the first and second question.
Answer:
Step-by-step explanation:
I assume the figures are parallelograms, then
1). KL = MJ and
12x - 22 = 7x - 2
12x - 7x = 22 - 2
5x = 20
x = 4
2). m∠RQT + m∠QTS = 180°
(The picture is not clear and I might be wrong about coefficients by x for ∠RQT and ∠QTS)
(3x + 5)° + (9x - 17)° = 180°
12x - 12 = 180
12x = 192
x = 16
Whats 4x+2=2(x+6) ?
Just want to see your answers
Answer:
x = 5
Step-by-step explanation:
4x + 2 = 2(x + 6)
4x + 2 = 2x + 12 (after you distribute the 2)
add and subtract like terms
4x - 2x = 12 - 2
2x = 10
x = 5
you can double check by substituting the x with 5 in the equation
4 (5) + 2 = 2(5 + 6)
20 + 2 = 2(11)
22 = 22
> Find the area of a circle with diameter 12 yd. Use the value 3.14 and do not round your answer. Be sure to include the correct unit in your answer. 12 yd
[tex]area = \pi {r}^{2} [/tex]
[tex]area = (3.14) {(6)}^{2} [/tex]
[tex]area = (3.14)(36)[/tex]
[tex]area = 113.04 \: yd[/tex]
plz solve it and help me for it
Given:
Base angle of an isosceles triangle is 15 degrees more than its vertical angle.
To find:
The measure of each angle of the triangle.
Solution:
Let x be the vertical angle. Then,
One base angle = x+15 degrees
We know that base angles of an isosceles triangle are equal.
Another base angle = x+15 degrees
Now, the sum of all angles of a triangle is 180 degrees by the angle sum property.
[tex]x^\circ+(x+15)^\circ+(x+15)^\circ=180^\circ[/tex] (Angle sum property)
[tex](3x+30)^\circ=180^\circ[/tex]
[tex]3x+30=180[/tex]
[tex]3x=180-30[/tex]
[tex]3x=150[/tex]
Divide both sides by 3.
[tex]x=\dfrac{150}{3}[/tex]
[tex]x=50[/tex]
The measure of base angles is
[tex](x+15)^\circ=(50+15)^\circ[/tex]
[tex](x+15)^\circ=65^\circ[/tex]
Therefore, the measure of angles are 50°, 65° and 65°.
[tex]18 \div 36[/tex]
Answer:
0.5
Step-by-step explanation:
pls pls help me! Trousers bought 1400 dollars with 20% discount. How much is the original price?
Answer:1120 dollars. Δ
Step-by-step explanation:You will pay $1120 for a item with original price of $1400 when discounted 20%. In this example, if you buy an item at $1400 with 20% discount, you will pay 1400 - 280 = 1120 dollars.
#I hope this helps!!!
~Regards~
44014137
melitón se comió 3 rebanadas de una pizza pequeña de seis rebanadas Cómo se representa una fracción
[tex] \frac{3}{6} [/tex]
Explicación:El numerador es lo que melitón se comió...
Y el denominador son las porciones (rebanadas) en que esta dividida la pizza.
10squared correct to 6 decimal places
Answer:
3.162278
Step-by-step explanation:
√10= 3.16227766
then find the millionths place which is 3.16227766
then you round that number based on the number to the right of it which is a 6 so you round it up
so the answer is 3.162278
A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?
A.
The y-intercept is 7.
B.
The line has a positive slope.
C.
The point (1, 4) lies on the line.
D.
This line is parallel to the line whose equation is y = 2x – 7.
Answer:
B
Step-by-step explanation:
because the slopes is 3.
the ratio of red marbles to blue marbles in a bag is 3:4. which of the following is a possible total number of marbles is it 21, 30, 32, or 40.
Answer:
21
Step-by-step explanation:
so if the ratio is 3:4
then we can also write the ratio as 3x:4x
where the total is 7x marbles and we see we have to chose the one that is divisible by 7 which is 21.
if my answer helped please mark as brainliest.
find the vertex of the quadratic function f(x) = (x-4) (x+2)
Answer:
vertex = (1, - 9 )
Step-by-step explanation:
The x- coordinate of the vertex is at the midpoint of the zeros.
Given
f(x) = (x - 4)(x + 2)
Find the zeros by letting f(x) = 0 , that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 4 = 0 ⇒ x = 4
Then
[tex]x_{vertex}[/tex] = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Substitute x = 1 into f(x) for corresponding y- coordinate
f(1) = (1 - 4)(1 + 2) = (- 3)(3) = - 9
Vertex = (1, - 9 )
y = -[tex]\frac{4}{5}[/tex]x - 2
Which equation best describes the graph?
A. y = -[tex]\frac{4}{5}[/tex]x + 2
B. y = [tex]\frac{4}{5}[/tex]x + 2
C. y = [tex]\frac{5}{4}[/tex]x - 2
D. y = -[tex]\frac{5}{4}[/tex]x + 2
En la tabla 1.8 se presentan los puntos de ebullición aproximados de algunos elementos de la tabla periodica flúor -180 hidrogeno -253 argón -186 helio -269 nitrógeno -196 neón -246 ¿Cuál es el elemento químico con el mayor punto de ebullición?¿ y con el menor?
Answer:
Lowest boiling point = helium.
Highest boiling point = fluorine
Step-by-step explanation:
Given :
fluorine -180
hydrogen -253
argon -186
helium -269
nitrogen -196
neon -246
Arranging the boxing points of each chemical element on a number line, the least which will be located to the leftmost part is Helium with a boiling point of - 269 ; while the highest will be fluorine which is - 186°C
(-3, -14) and (0, -9)
Answer: -26
Step-by-step explanation: hope this helps :)
PLEASE HELP RN
If cot theta = 8/7, which equation represents cotangent theta? cotangent theta = StartFraction StartRoot 15 EndRoot Over 8 EndFraction cotangent theta = StartFraction StartRoot 15 EndRoot Over 7 EndFraction cotangent theta = StartFraction 7 StartRoot 15 EndRoot Over 15 EndFraction cotangent theta = StartFraction 8 StartRoot 15 EndRoot Over 15 EndFraction
Answer:
The second option, [tex]\frac{\sqrt{15}}{7}[/tex]
Step-by-step explanation:
Edge '21
The equation for cot θ is √15/7. Therefore, option B is the correct answer.
Given that, cosec θ=8/7.
We need to find the ratio of cot θ.
What is the ratio of cot θ?The ratio of cot θ is cot θ=Adjacent/Opposite.
As we know, cosec θ=Hypotenuse/Opposite.
So, 7²+x²=8²
⇒x=√15
Now, cot θ=√15/7.
The value of cot θ is √15/7. Therefore, option B is the correct answer.
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