Hi there!
1. Trigonometric Ratio
For this question, we will be knowing legs or sides of the right triangle and its ratio. Trigonometric Ratio or Trigonometry is very useful when it comes to solve for legs or sides. Because it has something to do with angles.Currently, there are 6 Trigonometric Ratios. 2 ratios are the main topic which are sine and cosine. Both can be shortened as sin, cos. While the other 4 ratios are defined by these two ratios.
2. Adjacent, Hypotenuse, Opposite
There are 3 sides in a right triangle. Opposite is a side or length of a triangle that is opposite of a specific angle. For example in the picture. CD is opposite of 65 degrees. ED is opposite of angle C.Adjacent is a leg or we can call it a base of right triangle.Hypotenuse is the longest side of right triangle according to Pythagorean Theorem. It is also the opposite of right angle.3. Using Cosine Ratio
Cosine Ratio is defined as adjacent to hypotenuse or adjacent/hypotenuse. Since we focus on the 65 degree. We can conclude that the adjacent side is x and the hypotenuse side is 7.Cosine Ratio is:
[tex] \large \boxed{ \tt{ cos 65 \degree= \frac{x}{7} }}[/tex]
For this part, use the calculator to find the value of cos65 degrees. When you put cos65 degree in a calculator, you should get 0.42261826... round to the nearest tenth as we get 0.4
Hence, the new equation is:
[tex] \large{0.4 = \frac{x}{7} }[/tex]
4. Solve The Equation
The best way to deal with decimal number when solving the equation is to multiply the whole equation by 10. Because we want to turn 0.4 to 4 which will be easier in solving the equation.[tex] \large{0.4 \times 10 = \frac{x}{7} \times 10} \\ \large{4 = \frac{10x}{7} }[/tex]
Multiply 7 both sides to get rid of the denominator.
[tex] \large{4 \times 7 = \frac{10x}{7} \times 7} \\ \large{28 = 10x}[/tex]
Divide both sides by 10 so we can finally isolate x.
[tex] \large{ \frac{28}{10} = \frac{10x}{10} } \\ \large{ \frac{28}{10} = x}[/tex]
Since the denominator is 10. We can convert to the decimal as 2.8
[tex] \large \boxed{ \tt{2.8 = x}}[/tex]
Because you want the nearest tenth then 2.8 is your answer!
5. Final Answer
x = 2.8How to solve this step by step n get the answer
Answer:
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
Step-by-step explanation:
The Slope Intercept Form of the line is given to us . The equations given are ,
[tex]\implies y + 3x = 7 [/tex]
[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]
Now we know the standard equation of slope intercept form , is
[tex]\implies y = mx + x [/tex]
Where ,
m is slopec is y intercept .So , we can write about the equations as ,
[tex]\implies y = -3x + 7 [/tex]
[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]
On comparing to the Standard form ,
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
please help ASAP
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Answer:
The answer is A.
How I got it:
Formula of finding a triangle: 1/2 bh.
In this case, the base is R and the Height is X.
1/2rx.
what is the ratio of Sin 45°?
Answer:
1/√2
Step-by-step explanation:
The value of sin 45 is 1/√2
Let u = <-7, -2>. Find 8u.
Answer:
<-56, -16>
Step-by-step explanation:
multiply the values by 8 because that's what the question tells you to do
IM BEGGING PLEASE I NEED THE ANSWER TO THIS :C
Answer:
The answer is D.
Step-by-step explanation:
18. The current in the Red Cedar River is 6 mph. A canoe can travel 7 miles downstream in the same time that it takes to travel 3 miles upstream when paddled at the same rate. Set up (but do not solve) a rational equation that could be used to find the rate the canoe is paddled, using x as this rate
Answer:
7/(6 + x) = 3/(6 - x)
Step-by-step explanation:
The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph
The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream
Let x represent the rate of the canoe, we have;
7/(v + x) = 3/(v - x)
Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;
7/(6 + x) = 3/(6 - x).
What is the value of x?
0 14
0 17
O 27
O 34
PLEASE HELP
Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
The height of the tree=8.42 m
Step-by-step explanation:
We are given that
Height of Joshua, h=1.45 m
Length of tree's shadow, L=31.65 m
Distance between tree and Joshua=26.2 m
We have to find the height of the tree.
BC=26.2 m
BD=31.65m
CD=BD-BC
CD=31.65-26.2=5.45 m
EC=1.45 m
All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.
[tex]\triangle ABD\sim \triangle ECD[/tex]
[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]
Substitute the values
[tex]\frac{AB}{1.45}=\frac{31.65}{5.45}[/tex]
[tex]AB=\frac{31.65\times 1.45}{5.45}[/tex]
[tex]AB=8.42m[/tex]
Hence, the height of the tree=8.42 m
Find the roots of the following equations: x-1/X=3,X is not equal to zero.
Step-by-step explanation:
X-1/X=3
X-1=3×X
X-1=3X
-3X+X=1
-2X=1
X=1/2 Answer
** I need help for this one***
Answer:
60
Step-by-step explanation:
the two angles are equal angle x and the one opposite
=180-40
=120 ÷2
=60
Answer is
z = 70
x = 70
Step-by-step explanation:
z is also equal to x because two sidess are equal
40 + x + x =180
40 + 2x = 180
2x = 140
x =70
so x and z are 70 each
need help asap plsss!!
Step-by-step explanation:
13x - 12 = 7x - 6( remaining side of the similar triangle is equal).
The figure Jhows the graph of h(x) = px - 3+2 a translation of the parent function
g(x) = v. How is the graph of the parent function translated?
A) Right 3 units and up 2 units
OB) Right 2 units and up 3 units
C) Right 3 units and down 2 units
D) Left 3 units and up 2 units
find the slope of the line 3x-5y =0
Answer:
slope= ⅗
Step-by-step explanation:
Rewrite the equation into the slope-intercept form, y=mx +c, where m is the gradient and c is the y-intercept.
3x- 5y= 0
+5y on both sides of the equation:
5y= 3x
Divide both sides by 5:
y= ⅗x
From the coefficient of x, the slope of the line is ⅗.
Assistance pleaseeees?!!
Answer:
Step-by-step explanation:
What is the scale factor from abc to def?
Answer:
the answer is 8 because DEF is 8 times larger than ABC.
Step-by-step explanation:
hope that helps>3
Answer:
3
Step-by-step explanation:
To find scale factor, you need to divide two of the given sides. Meaning you can do any corresponding sides. So, for now, I will do 12 from DEF and 4 from ABC.
12 ÷ 4 = 3
To check if it is accurately 3, you will do it again (optional). You can use 15 from DEF and 5 from ABC
15 ÷ 5 = 3
Since both are 3, that will be the scale factor.
The answer is 3.
the set of all possible factors of 18, 30 and 36 then make a set of their common factors and find the H.C.F . please explain briefly
Answer:
HCF = 6
Step-by-step explanation:
Listing the factors of each number
18 is 1, 2, 3, 6, 9, 18
30 is 1, 2, 3, 5, 6, 10, 15, 30
36 is 1, 2, 3, 4, 6, 9, 12, 18, 36
common factors are 1, 2, 3, 6
the HCF is 6
1. Can cross multiplication be used to solve this problem? Why or why not?
HELP
Answer:
Step-by-step explanation:
Cross multiplication can be used but not in the beginning. First x should be isolated.
[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]
Now subtract [tex]\frac{5}{x}[/tex] from both sides
[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]
In this stage, cross multiplication can be used.
[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]
Answer:
x =0 and x =2/3
Step-by-step explanation:
as is no
but if you put an x under the 3 to make 3x/x
then you'd have 3x+5/x = 7/x
to make
3x^2 + 5x = 7x
this makes
3x^2 -2x =0
using the quadratic formula
answers
x =0 and x =2/3
PLZ I NEED ANSWER ILL GIVE BRAINLIEST
Answer:
2
Step-by-step explanation:
Tom starts at point A and then walk 3km east to point B and then walks 4km north to point C calculate the bearings and distance of point C to point A
Answer:
5km
Step-by-step explanation:
Please check the attached image for a diagram explaining this question
The distance from A to C can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
3² + 4²
= 16 + 9
= 25
determine the square root of 25
√25 = 5km
ANSWER THIS PLEASE !!
Answer:
B. point B
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
B(-1, -3)
y = 3x
When x = -1,
y = 3(-1) = -3
Answer: B.
x + y = 3, 4y = -4x - 4
System of Equations
Answer:
no solutions
Step-by-step explanation:
Hi there!
We're given this system of equations:
x+y=3
4y=-4x-4
and we need to solve it (find the point where the lines intersect, as these are linear equations)
let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable
we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4
y=-x-1
now we have y set as an expression containing x
substitute -x-1 as y in x+y=3 to solve for x
x+-x-1=3
combine like terms
-1=3
This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.
Therefore the answer is no solutions
Hope this helps! :)
The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution
What is the length of a diagonal of a square with a side length of 6?
A. 3
B. V
C. 3.12
D. 6
the lateral surface area of right circular cylinder is 120 pi cm squared and the circumference is 12 cm find the height
Answer:
h=31.4 cm
Step-by-step explanation:
A=lateral surface area
c=circumference
h=height
A= c*h
solving for h we get:
h=A/c=120pi/12=10pi
Find the distance between each pair of points. Round to the nearest tenth if necessary.
(-3, 6) (2,1)
Answer:
The distance between the two points is about 7.1 units.
Step-by-step explanation:
We want to find the distance between the two points (-3, 6) and (2, 1).
To find the distance between any two points, we can use the distance formula:
[tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:
[tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex]
Simplify:
[tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex]
Evaluate:
[tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex]
The distance between the two points is about 7.1 units.
Numbers are formed using the digits 1, 2, 3, 4, 5, 6. If no digit may be repeated, how many two-digit
numbers can be formed
A. 15
B. 20
C. 30
D. 6
I got 20.
I may have done it wrong so maybe wait until others have answered.
someone PLS help me .. i believe this needs a quadratic formula?
Hello,
The parabola has vertex=(0,1) and is passing through (1,3)
y=k(x-0)²+1
3=k*1+1 ==> k= 2
y=2*x²+1
Plz help as quick as possible!
average =65%
average = (60+70)/(100+100)*100
= 130/200*100
= 65%
Evaluate: 4x3 - 7x2 for x = 3
Answer:
45
Step-by-step explanation:
4[tex]x^{3}[/tex] - 7[tex]x^{2}[/tex] for x = 3
Substitute 3 in for x
4([tex]3^{3}[/tex]) - 7([tex]3^{2}[/tex])
4(3·3·3) - 7(3·3)
4(27) - 7(9)
108 - 63
45
Answer:
45
Step-by-step explanation:
Hi there!
We are given 4x³-7x² and we need to evaluate the expression if x=3.
To do this, substitute 3 as x into the expression, and then use the order of operations to solve
so substitute 3 as x into the expression (remember: x² is x*x, or (x)²)
4(3)³-7(3)²
now using the order of operations, start by evaluating the exponents
(3)³=3*3*3=9*3=27
(3)²=3*3=9
the expression then becomes:
4*27-7*9
multiply
108-63
subtract
45
Hope this helps! :)
Michael modeled from play dough a 15cm high pyramid with a rectangular base with dimensions of a = 12 cm and b = 8 cm. Jane remodeled Michael’s pyramid into a come with a base diameter of d = 10cm, what was the height of Jane’s cone?
Answer: 251.2 cm3
Step-by-step explanation:
10x3.14x 8 = 251.2
Find the area of the rectangle.
A rectangle
Answer:
The formula to find the area of a rectangle is A=BH
so the area equals the base times the height
Hope This Helps!!!