Step-by-step explanation:
use cos since we're given the adjacent and asked to find the hypothenus.
cos 33° = 6/x
cross multiply
xcos33° = 6
divide both sides by cos 33°
(cos 33 is approximately 0.8387)
then x = 7.15
Answer:
[tex]x \approx 7.2[/tex]
Step-by-step explanation:
The given triangle is a right triangle this is indicated by the box around one of its angles, signifying that the angle is a right angle. One of the properties of a right triangle is the right angle trigonometric ratios. these are a series of ratios that relate the sides and angles of a right triangle. Such ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the sides named ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) Are subjective and change based on the angle by which one refers to. However the side ([tex]hypotenuse[/tex]) indicates the side opposite the right angle, this side does not change its name.
In this case, one is given a (33) degree angle, and the measure of the side adjacent to is, (6). One is asked to find the measure of the hypotenuse (x). It would be most logical to use the ratio of cosine (cos). Substitute the given values in and solve for (x).
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos(33)=\frac{6}{hypotenuse}[/tex]
Inverse operations,
[tex]cos(33)=\frac{6}{hypotenuse}[/tex]
[tex]hypotenuse=\frac{6}{cos(33)}[/tex]
[tex]hypotenuse \approx 7.15[/tex]
Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.
Answer:
B . g(x) = x + 8
Step-by-step explanation:
Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.
g(x) = x + 3
g(x) = x + 8
g(x) = x − 8
g(x) = x + 2
Its B if this is what your test is on .
Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.
Answer:
[tex]\sqrt{203}[/tex]
Step-by-step explanation:
1. [tex]11^{2} + b^{2} = 18^{2}[/tex]
2. [tex]b^{2} =203[/tex]
3. b = [tex]\sqrt{203}[/tex]
Can't be simplified.
Answer 16
Step-by-step explanation:
Ella has two 8ft long boards she needs to cut pieces that are 15 inches long how many 15 inch pieces can she cut the two boards
Answer:
12
Step-by-step explanation:
Ella has two 8 feet long boards, so in total, she has 16 feet of the boards.
Convert these 16 feet to inches. There are 12 inches in a foot, so multiply 16 by 12:
16(12)
= 192
So, there are 192 inches in the boards. Divide this by 15 to see how many 15 inch pieces she can cut:
192/15
= 12.8
We can only have a whole number answer, because the boards need to be a full 15 inches. So, round this down:
= 12
Ella can cut twelve 15 inch pieces.
Independent Practice
Use the vertical motion formula h = –16t2 + vt + c.
A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula and let h = 0. Use the quadratic formula to solve for t. If no one touches the ball, how long is the ball in the air?
A.
0.1 s
B.
–0.1 s
C.
3.2 s
D.
1.1 s
Answer: The answer is letter A. 0.1s...... I think
-16t^2 + 50t + 3.5= 0
Step-by-step explanation: The answer is either letter A or letter B
Question
Use the vertical motion formula h=-16 t^{2}+v t+ch=−16t
2
+vt+c. A soccer ball is kicked with a starting upward velocity of 50 ft/s from a starting height of 3.5 ft. Substitute the values into the vertical motion formula Let h = 0.
Explanation
Step 1
1 of 2
The starting velocity is 50 ft/s ,when the ball is 3.5 ft high
So, v=50v=50 , h=3.5h=3.5 , t=0t=0
\begin{align*} h&=-16t^2+vt+c &&\text{{\color{#c34632}The vertical motion formula}}\\\\ 3.5&=-16(0)^2+50(0)+c &&\text{{\color{#c34632}Substitute 3.5 for $h$ , 50 for $v$ , 0 for $t$}}\\\\ c&=3.5 &&\text{{\color{#c34632}Simplify}}\\\\ \end{align*}
h
3.5
c
=−16t
2
+vt+c
=−16(0)
2
+50(0)+c
=3.5
The vertical motion formula
Substitute 3.5 for h , 50 for v , 0 for t
Simplify
So, the vertical motion formula will be
h= -16t^2 + 50t + 3.5
Let h= 0
-16t^2 + 50t + 3.5= 0
Answer:
Step-by-step explanation:
pls help asap
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
5x^3+x^2+7x-28=0
a. one
b. two or zero
c. three or one
d. two
I think the Answer is option a.one
correct me if I am wrong
if you is equals to 1 2 3 4 5 6 7 8 9 10 and a is equal to 1267 b is equals to 2 3 5 6 and C is equals to 4 5 6 7 then verify that a union B complement is equal to a complement intersection b complement
This should be the answer
A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:

Answer:
She's, "HOT"!
Step-by-step explanation:
why e=mc2?why not e=mc3?
Step-by-step explanation:
E = mc^2
E is Energy
M is Mass
C is Speed of light
This is Albert Einstein's General theory of relativity.
According to The principle of homogeneity,
E = mc^2 is dimensionally correct.
what is -6^2 equal to?
Answer:
-36
Step-by-step explanation:
If they asked (-6)^2 then it would be 36
Answer:
-36
Step-by-step explanation:
Normally, 6²=36 but because it is -6, multiply 6 by itself and add the negative sign.
Solve 15 = 4(1.6)^x by graphing. Round to nearest hundredth.
Answer:
2.81
Step-by-step explanation:
[tex]4*1.6^x=15\\\\1.6^x=\dfrac{15}{4} \\\\x*ln (1.6)=ln (3.75)\\\\x=\dfrac{ln(3.75)}{ln(1.6)} \\\\x=2.81222475...\approx{2.81}[/tex]
Enter an equation in point-slope form for the line.
(1,1) and (-8, 1) is on the line.
The equation of the line in point slope form is:
Answer:
y-1 = 0(x-1)
Step-by-step explanation:
Point slope form of a line is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
First find the slope
m = (y2-y1)/(x2-x1)
= (1-1)/(-8-1)
= 0/-9
= 0
y-1 = 0(x-1)
y-1=0
RSM HW PLEASE HELPPPPPPPPPPPPP ASAP
Answer:
congruent SAS
Step-by-step explanation:
We know two sides of the triangles are congruent to each other
MD = MT
and MA = MU
We also know that <DMA = < TMU
Two sides and the included angle
We can use SAS to show that the triangles are congruent
Answer
DM = MT (sides)
AM =MU ( sides)
<DMA = < TMU ( Angles)
So, DMA triangle is congruent to TMU triangle
According to SAS
What is the solution to this system of equations?
2x+y = 6
- - x - y = 2
0
0
(1, -1)
(0,8)
infinitely many solutions
no solution
Answer:
Step-by-step explanation:
{ 2/3 x+y=6
+
{ -2/3x-y=2
= 0=6
Hence,no solution.
Amy flips a coin and rolls a standard number cube. Find the probability that the coin will show heads and the cube will show one.
Write the probability as a fraction in the simplest form.
Answer:
1/12
Step-by-step explanation:
Mathematically, when a coin is flipped, we either get a head or a tail
These are equal probabilities of 1/2 each
So to show heads, we have a probability of 1/2
In a standard cube, there are 6 numbers (1-6)
now, we have only 1 one
the probability of it showing up would be 1/6
So the probability of both occurring would be the product
So we have this as;
1/6 * 1/2 = 1/12
Help me pleaseeeeeeeee
What is the height of the cylinder?
Answer:
h = 7 inches
Step-by-step explanation:
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest
form.
60°
22
Answer:
A. x = 11√3
B. y = 11
Step-by-step explanation:
A. Determination of the value of x.
Angle θ = 60°
Hypothenus = 22
Opposite = x =?
We can obtain the value of x by using sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 60 = x / 22
√3/2 = x / 22
Cross multiply
2 * x = 22√3
Divide both side by 2
x = (22√3) / 2
x = 11√3
B. Determination of the value of y.
Angle θ = 60°
Hypothenus = 22
Adjacent = y =?
We can obtain the value of y by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 60 = y / 22
½ = y / 22
Cross multiply
y = ½ × 22
y = 11
Can someone help me with these two
Answer:
10. D. 1 / 216
11. B. - ( 8^0 )
Step-by-step explanation:
10.
6^5 x 6^-8
= 6^( 5 - 8 )
= 6^-3
= 1 / 6^3
= 1 / 216
11.
- ( 8^0 )
= - 1
- 1 < 0
Sohanlal is a gardener. He is paid ₹160 daily, find how much money will he
get in the month of September?
Answer:
Give some examples of source documents.
➢ Define an account. What are the two forms of account posting illustrated in the chapter?➢ What is meant by the term double-entry procedure, or duality?
➢ Describe how you would determine the balance of a T-account.
➢ Define debit and credit.
➢ Do you think this double entry accounting system makes sense? Can you conceive of other possible methods for recording changes in accounts?
➢ Which of the steps in the accounting cycle are performed throughout the accounting period?
➢ What is the purpose of the Dividends account and how is it increased?
If sin x = 5/13 and x is in quadrant 1, than tan x/2 = ___
Please give an explanation!
Answer:
if sin x = 5/13 and x is in quadrant 1,than tan x/2= -5
The reference angle for 4pie/3 is pie/3, which has a terminal point of (1/2, square3/2) .What is the terminal point for 4pie/3 ?
Answer:
B
Step-by-step explanation:
The terminal point for 4π/3 in the form of a cartesian coordinate will be (-1/2, -√3/2). Then the correct option is B.
How to convert the polar coordinate to a cartesian coordinate?The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.
The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,
x = r cos θ
y = r sin θ
The angle is 4π/3. Then the cartesian coordinate for a unit radius will be given as,
x = 1 × cos (4π/3)
x = - 1/2
y = 1 × sin (4π/3)
y = - √3 / 2
The terminal point for 4π/3 in the form of a cartesian coordinate will be (-1/2, -√3/2). Then the correct option is B.
More about the polar coordinate to a cartesian coordinate link is given below.
https://brainly.com/question/13333610
#SPJ2
please anyone help no wrong asnwers plss ------
Can anyone help me pleaze
Answer:
3 - 2i
Step-by-step explanation:
sqrt(36) - sqrt(-1) - sqrt(9) - sqrt(-1)
we know sqrt(-1) = i
6 - i - 3 - i
3 - 2i
simplify.
[(1+5)⋅2−5]⋅2
Answer:
14
Step-by-step explanation:
[(1+5)⋅2−5]⋅2
[(6)⋅2−5]⋅2
[12−5]⋅2
[7]⋅2
14
Step-by-step explanation:
[6.2-5].2
[12-5].2
7.2
14 answer
Find the value of the expression 2ab/c when a = -1, b = -4, and c= 2
Answer:
4
Step-by-step explanation:
Given
[tex]\frac{2ab}{c}[/tex] , substitute the given values into the expression
= [tex]\frac{2(-1)(-4)}{2}[/tex]
= [tex]\frac{2(4)}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4
im doing a exam please help me fast
Seven guests are arriving for dinner. How many possible orders can they arrive in?
5,040!
7!
5!
49!
Answer:
7!
Hope it is helpful
Choose the correct answer below. A. The proportion of numbers in the population is equal to the mean of the sample proportions. B. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers. C. The proportion of numbers in the population is not equal to the mean of the sample proportions. D. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers.
Answer:
A. The proportion of numbers in the population is equal to the mean of the sample proportions
Step-by-step explanation:
The relationship between the mean [tex]\mu _{\overline p}[/tex], and standard deviation, [tex]\sigma _{\overline p}[/tex], of the sample proportion and the population proportion, p, are given as follows;
[tex]\mu _{\overline p}[/tex] = p
[tex]\sigma _{\overline p} = \sqrt{\dfrac{p \cdot (1 - p)}{n} } \times \sqrt{\dfrac{N - n}{N - 1} }[/tex]
Where;
N = The size of the population
n = The sample size
Therefore, the proportion of numbers in the population is equal to the mean of the sample proportions
A cylindar with surface area 219.91 has a radius of
and a height of
When creating lines of best fit, do you believe that estimation by inspection of the equation is best or do you think it should be determined exactly? In what situations would it be best to use one over the other?
Answer:
Estimation by inspection is better than trying to determine the line of best fit exactly
i) For a scatter plot : The use of estimation by inspection
ii) For a straight line graph : The exact determination method
Step-by-step explanation:
To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .
This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.
Scenarios :
i) For a scatter plot : The use of estimation by inspection
ii) For a straight line graph : The exact determination method
1
3
4
6
5
22 and Z6 form what type of angle pair?
A. linear pair
B. vertical angles
C. complementary angles
D. supplementary angles
C. complementary angles
Step-by-step explanation:
two angles are called complementary when their measures add to 90 degrees
