Answers
Answer:
a = 60, b = 19, c = 101, d = 79, e = 50
Step-by-step explanation:
Relations that are helpful here are ...
vertical angles are congruentan exterior angle is equal to the sum of the opposite interior anglesthe sum of angles forming a straight angle is 180°the sum of angles in a triangle is 180°__
Using these relations, we can find the unknown measures.
a° = 60° . . . . . these are vertical angles
51° +b° +110° = 180° ⇒ b° = 180° -161° = 19° . . . . straight angle
a° +b° +c° = 180°
c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle
d° = 180° -101° = 79° . . . . . straight angle
e° = c° -51° = 50° . . . . . c° is exterior to the triangle
Related Questions
4x+3y=6
-4x+2y=14
Solve the system of equations.
A. x= 1/2, y=3
B. x=3, y =1/2
C. x=4, y = -3/2
D. x=-3/2, y = 4
Answers
Answer:
D
Step-by-step explanation:
4x + 3y = 6
-4x + 2y = 14
0 + 5y / 5 = 20/ 5 = 4 = y
4x + 3(4) = 6
4x + 12 - 12 = 6 - 12
4x / 4 = -6 / 4 = -3 / 2 =x
A square has a perimeter of 40 feet. Find the length of the
diagonal of the square.
Answers
Answer:
14.14
Step-by-step explanation:
Answer:
The length of the diagonal of the square is about 14.142 feet
Step-by-step explanation:
Step 1: Determine the length
[tex]P = 4(l)[/tex]
[tex]40\ ft = 4(l)[/tex]
[tex]\frac{40\ ft}{4}=\frac{4(l)}{4}[/tex]
[tex]10\ ft = l[/tex]
Step 2: Determine the diagonal length
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
a and b are going to be the sides of the square which are both 10 ft so we just plug those in and solve for c
[tex](10)^2 +(10)^2 =c^2[/tex]
[tex]100+100=c^2[/tex]
[tex]\sqrt{200}=\sqrt{c^2}[/tex]
[tex]14.142=c[/tex]
Answer: The length of the diagonal of the square is about 14.142 feet
Convert 85° to degrees Fahrenheit.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
Answers
answer :
[tex]C=\frac{265}{9}[/tex]
work:
[tex]F=85[/tex] °[tex]C[/tex]
[tex]F= 85[/tex] into [tex]C=\frac{5}{9}(F-32)[/tex]
[tex]C=\frac{5}{9}[/tex] x [tex](85-32)[/tex]
[tex]C=\frac{265}{9}[/tex]
please solve the given problem
Answers
Answer:
x = -47.1
x = -3.35454... (2-digit repeat)
Step-by-step explanation:
Each of the absolute value functions causes the overall behavior of the equation to change where that absolute value function's argument is zero. Those values of x are -7, -5/2, -2/5.
These breakpoints cause the domain of the equation to be divided into 4 parts. A graphing calculator shows us that solutions exist only in the two regions ...
x < -7-7 ≤ x < -5/2In those regions, the equation simplifies to ...
x < -72(-(x +2/5)) -2(-(x +7)) = 2/3x +(-(x +5/2))
x(-2 +2) -4/5 +14 = x(2/3 -1) -5/2 . . . . collect terms
15.7 = -1/3x . . . . . . add 5/2
x = -47.1 . . . . . . . multiply by -3
__
-7 ≤ x < -5/22(-(x +2/5)) -2(x +7) = 2/3x +(-(x +5/2))
x(-2 -2) -4/5 -14 = x(2/3 -1) -5/2 . . . . collect terms
(-3 2/3)x = 12.3 . . . . . . . . add 1/3x +14.8
x = -36.9/11 = -369/110
x = -3 39/110 ≈ -3.35454... (2-digit repeat)
If the number under the square root radical has no perfect souare
factors, then it cannot be simplified further.
TRUE
FALSE
Answers
Answer:
true
Step-by-step explanation:
Examples :
180 = 5 × 2² × 3²
Then
The number 180 has perfect square factors which are 2 and 3
Then
The number √180 can be simplified because:
[tex]\sqrt{180} =\sqrt{5\times 2^{2}\times 3^{2}}[/tex]
[tex]=\sqrt{5\times \left( 2\times 3\right)^{2} }[/tex]
[tex]=\sqrt{5\times \left( 6\right)^{2} }[/tex]
[tex]=\sqrt{5} \times \sqrt{6^{2}}[/tex]
[tex]=6\sqrt{5}[/tex]
On the other hand :
10 = 5 × 2
Then
The number 10 has no perfect square factors
Then
The number √10 cannot be simplified because:
[tex]\sqrt{10} =\sqrt{5\times 2} =\sqrt{5} \times \sqrt{2}[/tex]
[tex]\text{and} \ \sqrt{5} \times \sqrt{2} \ \text{is not a simplified expression of} \ \sqrt{10} \ \\\text{,in fact it is more complicated than} \ \sqrt{10}[/tex]
What is the slope of the line passing through the points (2, 5) and (0, -4)?
Show all your work.
Leave your answer as a fraction
Answers
Answer:
slope = 9/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-4 - 5/0- 2 = 9/2
What is the value of x in | - 6| = x? O 6 and -6 00 06 -6 HOURME
Answers
Answer:
I believe, 6.
Step-by-step explanation:
Not sure if the rest of the question is the answer choices but the absolute of any number, is it's exact opposite. The reason for this is that an absolute number, or |?| is equal to whatever distance it is from 0. Since adding 1, and subtracting 1, both do such but in opposite directions, the absolute value of both would be 1.
GIVING BRAINLIEST AND MAX POINTS! ANSWER ASAPPP! The initial velocity of a projectile is 217 ft/sec, and the firing angle is 12°. Calculate the horizontal distance.
a
599 feet
b
699 feet
c
499 feet
d
799 feet
Answers
Answer:
a) 599 feet
Step-by-step explanation:
** As the measure of distance is in feet, we must use the value of gravity in ft/s² **
Constant Acceleration Equations (in ft)
s = displacement in ftu = initial velocity in ft/sv = final velocity in ft/sa = acceleration in ft/s²t = time in s (seconds)Assuming that the projectile is fired at an angle of 12° above the horizontal.
Consider the vertical and horizontal motion separately.
Vertical motion
First, find time by resolving vertically, taking up as positive and
g = 32 ft/s²
[tex]\begin{aligned}\textsf{Using}\quad s & =ut+\dfrac{1}{2}at^2\\\implies 0 & = 217 \sin 12^{\circ}t+\dfrac{1}{2}(-32)t^2\\0 & = 217 \sin 12^{\circ}t-16t^2\\t(16t-217 \sin 12^{\circ}) & = 0\\16t & = 217 \sin 12^{\circ}\\t & = \dfrac{217 \sin 12^{\circ}}{16}\\t & = 2.819802307...\: \sf s\end{aligned}[/tex]
Horizontal motion
Resolving horizontally, taking right as positive:
(The horizontal component of velocity is constant, as there is no acceleration horizontally)
s = su = 217 cos 12°v = 217 cos 12°a = 0t = 2.819802307...[tex]\begin{aligned}\textsf{Using}\quad s & =ut+\dfrac{1}{2}at^2\\\implies s & = (217 \cos 12^{\circ})(2.819802307...)+\dfrac{1}{2}(0)t^2\\& =598.5256808...\end{aligned}[/tex]
Therefore, the horizontal distance is 599 ft (nearest foot)
help im very confusedddddddddddddddd
Answers
… work is shown in picture :)
Please help me ojn this question
Answers
Answer:
T4 = 162 T5 = 486 T6 = 1458
Explanation:
the pattern is multiply the previous number by 3
so 6 x 3 = 18
18 x 3 = 54
54 x 3 = 162 and so on.
Which of the following are always congruent?
Answers
Answer:
B. Vertical angles
Step-by-step explanation:
which prism has the greatest value
Answers
Find P(x > 120) provided that it is known that
= 95 and o = 14. Assume that the
distribution is approximately normal.
Select one:
а. 1.7936
b. 0.7852
c.0.9633
d. 0.0367
Answers
The probability when x is greater than 120 is 0.0367. Then the correct option is D.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be
The z-score will be
z = (120 - 95)/ 14
z = 1.7857
Then the probability will be
P(x > 120) = P(z > 1.7857)
P(x > 120) = 1 - P(x<120)
P(x > 120) = 1 - 0.96293
P(x > 120) = 0.0367
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ1
Suppose that you have $14,000 to invest and you are trying to decide between investing in project A or project B. If you invest in
project A, you will receive a payment of $17,000 at the end of 3 years. If you invest in project B, you will receive a payment of $56,000
at the end of 23 years. The annual interest rate is 6 percent and both projects carry no risk.
Instructions: Round your answers to the nearest dollar. Do not round your intermediate calculations.
a. What is the present value of each project? Enter your answers in the table below.
Present Value
Project A =
$
Project B =
$
b. Which project will you choose for your investment?
Project A
Project B
Answers
Which graph represents the function f(x) = –x2 + 5? On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4). On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9). On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9). On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).
Answers
Answer:
The graph in the attached figure
Step-by-step explanation:
we have the quadratic function
[tex]f(x)=-x^2+5[/tex]
This is a vertical parabola open downward
The vertex is a maximum
Remember that
The equation of a vertical parabola in vertex form is equal to
[tex]y=a(x-h)^2+k[/tex]
where
a is a coefficient
(h,k) is the vertex
In this problem
a=-1
(h,k)=(0,5) ----> vertex
The y-intercept is the point (0,5) ---> value of y when the value of x is equal to zero (is the same point that the vertex)
The x-intercepts are the points --->values of x when the value of y is equal to zero
using a graphing tool
The graph in the attached figure
Answer:
A on edge
Step-by-step explanation:
i took the test
Which expression is equivalent to -36-8
Answers
find tan0 please help fast!
Answers
Answer:
Tan(51.06) = 1.24 so the correct answer is A
Step-by-step explanation:
Sin0 = 7/9
0 =Arcsin(7/9)
0 =51.06
So,
Tan(51.06) = 1.24 so the correct answer is A
Answer:
A. [tex]\frac{7\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Finding the missing side :
7² + x² = 9²
x² + 49 = 81
x² = 32
x = 4√2
Taking the tan value :
tanθ = 7/(4√2)
tanθ = 7(4√2)/4√2(4√2)
tanθ = 28√2/32
tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]
Use the equation below to find A, if 1 = 6 and w = 3.
A = lw
Answers
Answer:
l=6, w=3
And A is the multiplication of l and w
A=6×3
please help please please help
Answers
Answer:
The answer is the first option because 2÷2=1 and 10÷2=5
i want to know this factorization
Answers
32 - (8b^4)^-1 = (1/2)(64 - (4b^4)^-1) = (1/2)(8 + (2b^2)^-1)(8 - (2b^2)^-1)
Or even
32 - (8b^4)^-1 = (1/8)(256 - b^-4) = (1/8)(16 + b^-2)(16 - b^-2)
Both use the difference of two squares ie a^2 - b^2 = (a + b)(a - b)
2x+ 5y = 15
5x+10y = 35
O A. (5.-1)
O B. (5,1)
(
O C. (10,-1)
O D. (10,1)
Answers
Answer:
B.
Step-by-step explanation:
Plug in those x and y values into your equations.
(x, y) = (5, 1)
2x + 5y = 15
2(5) + 5(1) = 15
10 + 5 = 15
5x + 10y = 35
5(5) + 10(1) = 35
25 + 10 = 35
This proves those values are true. So the answer is B.
Find the approximate values of the five-number summary for the data set represented by this box plot.
05 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Please hurry!!!
Answers
Answer: Minimum: 0
Quartile Q1: 22.5
Median: 50
Quartile Q3: 77.5
Maximum: 100
Step-by-step explanation:
Which polynomial expression is equal to (a + 3)(a − 3)(a² + 9)?
Answers
Answer:
a⁴ - 81
Step-by-step explanation:
Identity applied :
(a + b)(a - b) = a² - b²
Simplifying :
(a + 3)(a − 3)(a² + 9)(a² - 9)(a² + 9)a⁴ - 81Suppose you have a photograph that
has a height of 8 in and a width of 5
in. If you want to enlarge the
photograph so that it has a height of
32 in, how wide will it need to be?
Answers
Answer:
20
Step-by-step explanation:
You need to times 8*4 to get 32 therefore u times 5*4 to get 20
x-3<9 this is a inequalite question
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
x-3<9
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
✩ First, add 3 on both sides:-
[tex]\it{x < 9+3}[/tex]
Which results in
[tex]\it{x < 12}[/tex]
So the values of x less than 12 will make this inequality true.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
. Estimate the sum of 277 and 854 and write them in Roman numerals.
Answers
Answer:
The answer is MC = 1100. The real answer is 1131 but I have estimated the answer to the nearest hundred.
Step-by-step explanation:
I just added them up to get the real answer. The real answer is 1131 but I have estimated the answer to the nearest hundred.
The sum of 277 and 854 is 1131.
M = 1000
C = 100
X = 10
I = 1
PLEASE HELP!!!!!!!!
Note: please add the answer next to the number its from so I can know which question was answered
Answers
2)B
1) K < or equal to -5 so smaller than -5 with closed circle
2)K < or equal to 1 so less than 1 with closed circle
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Gabriella sets up a website where players can
buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
27 visitors purchased no costume.
75 visitors purchased exactly one costume.
11 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a fraction in simplest form.
Answers
Probability that the next person will purchase more than one costume as a fraction in simplest form is; 11/113
How to find probability?
We are given the data for number of people who visited the website and the number of costumes purchased in a single day as;
Number of visitors that purchased no costume = 27 visitors
Number of visitors that purchased exactly one costume = 75
Number of visitors that purchased more than one costume = 11
Total number of visitors = 27 + 75 + 11 = 113
Thus;
Probability that the next person will purchase more than one costume as a fraction in simplest form is;
P(purchase more than one costume) = 11/113
Read more about Probability at; https://brainly.com/question/251701
#SPJ1
What is the area of this figure? Please help
Answers
Answer:
369.5 ft²
Step-by-step explanation:
Area of figure :
Area (rectangle 1) + Area (rectangle 2) + Area (triangle 1) + Area (triangle 2)
5 x 4 + 13 x 8 + 1/2 x 23 x 13 + 1/2 x 24 x 820 + 104 + 149.5 + 96124 + 96 + 149.5220 + 149.5369.5 ft²Answer:
369.5 ft²
Step-by-step explanation:
Separate the figure into 2 rectangles and 2 triangles.
(see attached image)
Area 1
Area of a rectangle = width × length
= 4 × 5
= 20 ft²
Area 2
Area of a rectangle = width × length
= 8 × (4 + 4 + 5)
= 8 × 13
= 104 ft²
Area 3
Area of a triangle = 1/2 × base × height
= 1/2 × (6 + 4 + 5 + 4 - 6) × 23
= 1/2 × 13 × 23
= 149.5 ft²
Area 4
Area of a triangle = 1/2 × base × height
= 1/2 × 8 × (21 + 8 - 5)
= 1/2 × 8 × 24
= 96 ft²
Total Area
Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96
= 369.5 ft²
1.156÷106
Please help
Will give 20 points whoever gets this right
Thank you :)
Answers
Answer:
0.0109056604
that is the answer, I used a calculator
