angle1 + angle2 = 180
[tex]4x + 20 + x + 20 = 180[/tex]
[tex]5x + 40 = 180[/tex]
[tex]5x = 180 - 40[/tex]
[tex]5x = 140[/tex]
[tex]x = \frac{140}{5} [/tex]
[tex]x = 28[/tex]
I NEED THE ANSWER ASAP PLZ!!!!!!
Answer:
its D trust me okkkkkkk
I think its A
I wouldn't go with i say tho
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle. W= L=
Step-by-step explanation:
Let breadth =x
Length=5x-3
As we know that in a rectangle
[tex]\boxed{\sf Area=lb}[/tex]
Substitute the values[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]
[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]
[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]
[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]
Ignore negative value[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]
[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]
What is the distance between the points M (-21,-7) and N (-5,-7)?
A.28 units
B.16 units
C.26 units
D.14 Units
Noah would like to cover a rectangular tray with rectangular tiles. The tray has a width of 11 1/4 inches and an area of 50 5/8 square inches. Find the length of the tray in inches.
Answer:
67 sq ft
Step-by-step explanation:
The length of the rectangle with an area of 405/8 square inches and a width of 45/4 inches is 9/2 inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle = length×width.
Given, The tray has a width of 45/4 inches and an area of 405/8 square inches.
∴ If area = length×width.
Then, length = area/width.
length = (405/8)/(45/4) inches.
length = (405/8)×(4/45) inches.
length = 9/2 inches.
learn more about rectangles here :
https://brainly.com/question/10046743
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What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
Write an equation of the line that passes through (1, -8) and is parallel to the line y = -3x - 7
Answer:
the desired new equation is y = -3x - 5
Step-by-step explanation:
The desired equation of this new (parallel) line has exactly the same form as the given line y = -3x - 7. Only the y-intercept will be different.
Starting with y = -3x - 7, replace x with the x-coordinate of the given point (1, -8) and y with the y-coordinate. We get:
-8 = -3(1) + C, where C is the new y-intercept and is to be determined.
Then C = -5, and the desired new equation is y = -3x - 5.
PLEASE HELP ASAP
How do you find the total for a purchase if there is sales tax?
Answer:
Conver the sales tax to a decimal and ad it to 1, then multiple that total to the price of the item. Please mark as breinlest
Answer:
just multiply the tax percent to the cost of the product and move the decimal, or you can use a percent calculator
What is the circumference, in feet, of the circle. Round to the nearest tenth
Answer: 4.7 ft
Step-by-step explanation:
Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.
C=3.14(d)
1.) Insert the numbers into the formula: C= 3.14*1.5
You’ll get 4.71 as your answer.
Next round to the nearest tenth and you’ll get 4.7.
Hope this helps!
85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given parameters
Percentage of all teachers the works in summer = 85%
Number of teachers sampled = 6 teachers
Unknown:
The probability that they all work in summer = ?
Solution:
Now, to solve this problem, let us find the number of teachers that works in summer from the given size;
Number of teachers = 85% x 6 = 5.1;
Since it is not possible to have 5.1 people, the number of teachers will be 5
The probability = [tex]\frac{5}{6}[/tex]
7x - 2 = 9x+5
Please help!!
Answer:
x=-7/2
Step-by-step explanation:
Answer:
x = -7/2 or -3.5
Step-by-step explanation:
7x - 2 = 9x + 5
Add 2 to both sides
7x = 9x + 7
Subtract 9x from both sides
-2x = 7
Divide both sides by -2
x = -7/2
x = -3.5
Order these numbers from lowest to highest
-24.35 , 11.20 , -7.96
Answer:
-24.35, -7.96, 11.20
Step-by-step explanation:
Negative numbers are worth way less than positive numbers. In order to solve, the biggest looking negative number is worth less.
Positive is bigger
Negative is smaller
*EXTRA*
negative plus negative = positive
negative plus positive = negative
negative times negative = positive
negative times positive = negative
Hopefully you will understand!
PLEASEEEE HELP ME!!!!!
Answer:
look it up on tiger algerbra
Step-by-step explanation:
Answer:
3 TIMES 2 DONT EQUAL 7
Step-by-step explanation:
Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup
15 PTS!!!!!!!!!!!!
What is the product of -2/7 and -3/7?
Answer:
6/49
Step-by-step explanation:
-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.
The area
The area of a triangle ABC is 64 cm². Given AB = 11 cm and BC = 15 cm, Find ABC. Trying to find angle B.
Answer:
∠B ≈ 50.9°
Step-by-step explanation:
The area formula for a triangle can be used to find the missing angle.
Area formulaWe don't want confusion between A for area and angle A, so we define Q as the area of the triangle with sides a, c, and included angle B. In this scenario, 'a' represents side BC (opposite angle A), and 'c' represents side AB (opposite angle C).
Q = (1/2)ac·sin(B)
Unknown angleSolving for B, we have ...
2Q/(ac) = sin(B)
B = arcsin(2Q/(ac)
B = arcsin(2(64)/(11(15)) = arcsin(128/165)
∠B ≈ 50.9°
Find the arc length of a 80° slice of a large 15 in. radius pizza.
Answer:
20.93 inStep-by-step explanation:
Arc length formula:
s = 2 π r (θ/360°)Substitute values:
s = 2*3.14*15(80/360) = 20.93 inpart two thinking a number between 1 and 10 but doble the money!
PLEASE HELP HELP HELP HELP HELP HELPPPPPP
Answer:
your picture isnt loading can you tell me the problem?
Step-by-step explanation:
Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP
PLEASE HELP ITS DUE TODAY!!
Answer: 3xy2 and 8xy2
-3x2 and 1/2x2
X2y and 5x2y
Need answers for 5 and 6 please it’s algebra math hurry please
explain how to evaluate f(g(0)).
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
==================================================
Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
---------------------
We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make
Answer:
6
Step-by-step explanation:
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HELP ME PLEASEEEEEEEE
which could be the name of a plane?
Answer: where are the options?
Step-by-step explanation:
Answer:
There is not enough information presented to give an answer
Step-by-step explanation:
If you add more information, I will try and answer it for you
What is the perimeter of this polygon?
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Solve the following system of equations using a method of your choice.
Write the solution as an ordered pair ( , ) and then you will be prompted to explain your thinking.
4x-2y=4
x+y=10
Answer:
Step-by-step explanation:
cant remember what this method is called but
change the second equation to be y = something
x + y = 10
y = -x + 10
plug in this y= in the first equation to get x
4x -2(-x + 10) = 4
4x + 2x -20 = 4
6x = 24
x = 4
then plug in the x we found into the original second equation
4 + y = 10
y = 6
so your ordered pair would be (4,6)
hope this helps <3
find the slope of the line that contains (-2,-2) and (-10,-9)
Answer:
[tex] \huge \frac{7}{8} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]
We have the final answer as
[tex] \frac{7}{8} \\ [/tex]
Hope this helps you
Answer:
7/8
Step-by-step explanation:
13. Solve 2/3 + 5/6 and put answer in simplest
form.
O A. 11/2
B.
c. 76
D.776
Answer:
3/2 or 1 + 1/2
i havent done fractions in a long time but this is what i got from memory
you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2