Answer:
(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
[tex]c=\dfrac{3 * \sin 45}{sin 40}[/tex]
Step-by-step explanation:
In Triangle ABC is shown.
[tex]\angle A B C=[/tex] 95 degrees
[tex]\angle B C A =[/tex] 45 degrees.
|AB|=c
|BC|=3.0 cm
[tex]\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ[/tex]
Using the Law of Sines
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
[tex]\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}[/tex]
The correct option is B.
Answer:
B
Step-by-step explanation:
The diagram shows a hexagon.
The hexagon has one line
of symmetry
А
B.
FA = BC
EF = CD
Angle ABC = 123
Angle BCD = 2 x angle CDE
Work out the size of angle AFE.
You must show some of your working.
Your final line must say, AFE = ...
Answer:
158 degrees
Step-by-step explanation:
Step 1:
Let Angle CDE =y
Since Angle BCD = 2 X angle CDE
Angle BCD = 2y
Step 2
Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.
By these properties of Isosceles Trapezoids
Lower Base Angles are CongruentUpper base angles are congruentAny lower base angle is supplementary to any upper base angleTherefore:
[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]
123+2y+y=360
3y=360-123
3y=237
y=79 degrees
Therefore:
[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]
What is a straight line from the center to the circumference of a circle
Answer:
From the CENTER, it would be radius of the circle
Step-by-step explanation:
Stretching across the entire circle is diameter, while from the center is radius.
HELP FAST this is a late assignment
Answer:
A, C, and D
Step-by-step explanation:
They are subtracting
❗️ASKED ONCE AND NO ONE ANSWERED, WILL MARK BRAINLIEST,,,,,,,,,,❗️. Five men and eight women work in a firm’s PR office. Their employer must choose two of them to attend a conference in Chicago. What is the probability of choosing one woman and one man to attend the conference?
A. 15/28
B. 6/13
C. 20/39
D. 8/15
MUST PROVIDE EXPLANATION
Answer:
I DONT KNOW BUTTTTTTT CAN YOU MARK ME BRANINLIST
Answer:
20/39
Step-by-step explanation:
Choose 2 out of 13 which is the total. this is 13C2
5 * 8 for one man and one women.
divide.
Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Question
Which algebraic expression has like terms?
[tex]9n^3 - 2n + 3 - 4n^2[/tex]
[tex]7n^3 + 3n - 3 - 6n^2[/tex]
[tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
[tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
Answer:
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
Step-by-step explanation:
Given:
The above expressions
Required:
Expressions with like terms
Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;
Like terms are dependent on the exponents and are independent on the sign of each terms.
Listing out the exponents of each options;
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
C. [tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
The exponents of n are 3 1 3 2
Rearrange: 1 2 3 3
D. [tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
The exponents of n are 3 4 1 2
Rearrange: 1 2 3 4
From the list of exponents above, only A and B are equal;
Hence, the following expressions have the like terms
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex] and B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
You have bag filled with 6 red marbles, 4 blue marbles, and 8 yellow marbles. What is the probability of pulling out a red marble?
Step-by-step explanation:
Simple
Total no of marbles = 6 + 4 + 8 = 18
Probability of red marble = 6 / 18 = 1/ 3
what is 512.3÷ 0.25
Answer:
2049.2
Step-by-step explanation:
512.3÷ 0.25= 2049.2
You can use a calculator... (or long division.)
Answer:
2,049.2
Step-by-step explanation:
Hope this helped!
o(*^▽^*)┛
2ײy³+ 15z⁴= z²+ 69x²
solve by factoring
Answer:
x= iz ( 15z²-1) ^1/2 ÷ 2y³ -69 ^1/2
hope this helped
Answer:
combine like terms
Step-by-step explanation:
u wont geta proper answer but u will get a equation that i smaller
Ashley collects colored golf balls from a miniature golf course. She will randomly select one ball from her collection of 9 blue, 7 magenta, and 2 purple golf balls. Develop a probability model based on theoretical probability.
1. What is the total number of colored golf balls in Ashley’s collection?
2. What is the sample space?
S =
3. What is the theoretical probability that each event in the
sample space occurs?
Answer:
18 golf balls in all, 1/18 is the answer
Step-by-step explanation:
Answer:
1. 18
2. {blue, magenta, purple}
3. P(blue) = 1/2
P(magenta) = 7/18
P(purple) = 1/9
Step-by-step explanation:
Total balls:
9 + 7 + 2 = 18
Sample space: all possible outcomes
{blue, magenta, purple}
P(blue) = 9/18 = 1/2
P(magenta) = 7/18
P(purple) = 2/18 = 1/9
what is 10 + x = 24?
Answer:
x=14
Step-by-step explanation:
subtract 10 on both sides
24-10=14
x=14
Answer:
x = 14
Step-by-step explanation:
10 + x = 24
-10
x=14
( You subtract 10 from both sides. 24-10 =14. Therefore x =14
Which of the following numbers is not a rational number? -3 2.7 √4 √5
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer: Sandy.
Step-by-step explanation:
Elaine has 16 tablespoons of lemonade, and uses 2 per glass.
then she can make 16/2 = 8 glasses of lemonade.
Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,
then she can make 18/3 = 6 glasses of lemonade.
Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.
Help please someone thanks
Answer:
16
Step-by-step explanation:
The run is the amount in the x direction
-8 to 8 = 16 units
(8- - 8) = 8+8 = 16
The run is 16
Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
1st Case:
4 and 5 are legs of the right triangle.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+5^2=x^2
16+25=x^2
41=x^2
x=√41
√41 is about 6.4
x=6.4
2nd Case
5 is the hypotenuse of the right triangle and 4 is the legs.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+x^2=5^2
16+x^2=25
x^2=9
x=3
Final Step
We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2
Anwser: 19.2
Select the correct answer. Maxine owns a food truck that sells cups of frozen yogurt. The revenue, y in dollars, Maxine makes from selling x number of frozen yogurts is recorded in the table below. x 38 44 55 62 76 y 68.42 76.38 83.61 80.27 74.75 If y = -0.03x2 + 3.52x - 21.86 is the equation for the curve of best fit for the given data, about how much revenue will Maxine make when she sells 90 cups of frozen yogurt? A. $41.79 B. $83.61 C. $67.74 D. $51.94
Answer:
$51.94
Step-by-step explanation:
If a = 32 ft, b = 15 ft, c = 16 ft, and d = 19 ft, what is the area of the living room and hallway together?
A.
368 ft2
B.
784 ft2
C.
164 ft2
D.
82 ft2
Answer :
A. 368 ft²
Step by step
[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]
Answer:
386 ft :)
Step-by-step explanation:
Rachel is making nachos for a party. The recipe calls for 23 cup of cheese for each plate of nachos. Part A How many full plates of nachos can Rachel make with 5 cups of cheese?
Answer: 0.22 plates
Step-by-step explanation:
Given that The recipe calls for 23 cup of cheese for each plate of nachos
1 plate = 23 cups
X plate = 5 cups
Cross multiply
5 = 23x
Make the x the subject of formula
X = 5/23
X = 0.22
Or 5/23 plate
Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
Volume of the given cone is 1107.6 cubic feet.
Step-by-step explanation:
Formula to get the volume of a right circular cone is,
V = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here r = radius of the circular base
h = height of the cone
Now we put the values in the given formula
Volume = [tex]\frac{1}{3}\pi (8.6)^2(14.3)[/tex] [ radius = [tex]\frac{17.2}{2}=8.6[/tex] ]
= [tex]\frac{1057.628\pi }{3}[/tex]
= 1107.55
≈ 1107.6 cubic feet
Therefore, volume of the given cone is 1107.6 cubic feet.
Answer:
146.6 ft3
Step-by-step explanation:
The Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed. What is the independent variable in this relationship?
Answer:
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
Step-by-step explanation:
From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.
The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.
And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned
2x-y+5=8 in slope-intercept form please!
Answer:
y= 2x - 3
Step-by-step explanation:
slope intercept form: y= mx + b
Answer:
y= 2x-3
Step-by-step explanation:
2x-y+5=8
-y= 8-2x-5
-y=-2x+3
-1(-y=-2x+3)
= y= 2x-3
y = 5x + 2
4x – y = 0
Is (2, 12) a solution of the system?
A.yes
B.no
Answer: No
Step-by-step explanation:
Substitute (2,12) into the second equation.
4(2) - (12) = 0
8 - 12 = 0
-4 = 0
This statement is false.
The measure of a circumscribed angle is equal to 180° minus the measure of the __________
angle that intercepts the same arc.
Answer:
The measure of a circumscribed angle is equal to 180° minus the measure of the central angle that intercepts the same arc. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
Step-by-step explanation:
Can i get some help pwease
Answer:
Hey!
Your answer is Y=-5x-6
Step-by-step explanation:
Using the formula y=mx+c...
m=slope c=y-intercept
The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)
The m is the slope do we write the slope value (-5)
Which forms y=-5x-6
HOPE THIS HELPS!!
Plis help I need help
Answer:
meee tooo
Step-by-step explanation:
helpplppppppp
Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.
9) All points with a y-coordinate of 0 will always lie on the x axis.
Step-by-step explanation:
What does 81% 90% 80% and 34% average into 20 points
Answer:
71.25%.
Step-by-step explanation:
To find the average, we can simply add up the percentages and divide by how many there are.
We can do this by:
[tex]\frac{81 + 90 + 80 + 34}{4}[/tex] = 71.25%
Please help it’s urgent
Answer:
Angle CED
Step-by-step explanation:
They are opposite to each other in the X they make.
What is the domain of the function y = 2 e Superscript x graphed below? On a coordinate plane, a curve starts in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2). all real numbers greater than 2 all positive real numbers all negative real numbers all real numbers
Answer:
The answer is all real numbers.
Step-by-step explanation:
I just took it and got a 100 on EDG 2020.
Answer:
It's D - all real numbers
Step-by-step explanation:
on edge 2021
what is the radius and diameter of a 14cm circle
Answer:
Radius= 7cm
Diameter= 14cm
Step-by-step explanation:
Hope it Helped!!
plzzzzzzzzzzzzzaaaaaaaaaaaa
Answer:
A
Step-by-step explanation:
use the quadratic formula and you should end up with this
d=1/32 (33+[tex]\sqrt{1217}[/tex])=2.121
The domain is [0,2.121...].
x = -b / 2a = -3.3/(-3.2) = 1.031
max=1.902
so its A
pls mark me brainliest
What is the area of this irregular figure?
A figure can be broken into 2 rectangles. One rectangle has a base of 16 centimeters and height of 8 centimeters. The other rectangle has a base of 8 centimeters and height of 8 centimeters.
128 Centimeters squared
192 Centimeters squared
256 Centimeters squared
512 Centimeters squared
Answer:
192cm²
Step-by-step explanation:
If you cut the shape into 2 and you do 8×8 which is 64cm²
Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²
Answer:
here's the answer and proof in the image below
Step-by-step explanation:
