Step-by-step explanation:
[tex] { \cos}^{2} 45 \degree + { \sin}^{2} 60 + { \sin}^{2} 30 \degree \\ = \bigg( \frac{1}{ \sqrt{2} } \bigg)^{2} + \bigg( \frac{ \sqrt{3} }{ 2} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{2} \\ \\ = \frac{1}{2} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2}{4} + \frac{3}{4} + \frac{1}{4} \\ \\ = \frac{2 + 3 + 1}{4} \\ \\ = \frac{6}{4} \\ \\ = \frac{3}{2} \\ \\ = 1 \frac{1}{2} \\ [/tex]
Miss K wants to get Portillos with 5 of her teacher
friends. She decides to split a pizza and 6 drinks. If the
pizza cost $11.50, and they spend a total of $18.50,
how much does one drink cost?
Show ALL work in this box!
Answer: $1.17 per drink
Step-by-step explanation:
Let x=the cost of one drink
11.5+6x=18.5
subtract 11.5 on both sides
11.5+6x-11.5=18.5-11.5
6x=7
Divide 6 on both sides
6/6 x=7/6
x=7/6
7/6≈$1.17
Hope this helps!! :)
Please let me know if you have any question
Jada applies two transformations to a polygon in the coordinate plane. One of the transformations is a translation and the other is a reflection. What information does Jada need to provide to communicate the transformations she has used?
In geometry, transformation involves changing the position or size of a shape.
The information, Jada needs to provide are:
The direction and units of translationThe line of reflectionWhen a polygon is translated, the direction(s) of translation and the units of translation must be stated.
Take for instance:
A translation of 2 units left.
The direction of the above translation is left, while the unit is 2
Also, when a polygon is reflected, the line of reflection must be stated. There are several lines of reflection; the most popular ones are:
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3) Marvin bought a t shirt that was on sale for 20% off. He paid $14.21. for the t-shirt including
sales tax of 11 percent. Use this information to answer questions a and b.
a Circle the equation that can be used to find the original price of the t-shirt.
(c - 20c) +.11(e - 200) – 14.21
. 11(x - 20c) = 14.21
11(22.81 - 20(14.21)) = C
116.80c) + (c - 20c) = 14.21
b. Solve the equation and interpret the solution
Answer:
(a) 14.21 = 0.80x + 0.11 (0.80x)
(b) The original price of the t-shirt was $16.
Step-by-step explanation:
The information provided are:
Marvin bought a t shirt that was on sale for 20% off.He paid $14.21. for the t-shirt.The sales tax percent was 11%.(a)
Assume that the original price of the t-shirt was $x.
The discounted amount would be, x ( 1 - 0.20) = 0.80x.
The sales tax amount would be, 0.11 (0.80x).
Then the total amount paid by Marvin can be represented by the equation:
Total = Discounted amount + Sales tax amount
14.21 = 0.80x + 0.11 (0.80x)
Thus, the equation that can be used to find the original price of the t-shirt is:
14.21 = 0.80x + 0.11 (0.80x)
(b)
Compute the value of x as follows:
[tex]14.21 = 0.80x + 0.11 (0.80x)[/tex]
[tex]14.21=0.80\times 1.11\times x[/tex]
[tex]x=\frac{14.21}{0.80\times 1.11}\\\\x=16.0023\\\\x\approx \$16[/tex]
Thus, the original price of the t-shirt was $16.
What is the solution to this system of equations?
x+y=7
x=y+3
(i’ve never understood ones like this so please help!!)
Answer:
x=5 and y=2
Step-by-step explanation:
[tex]x=y+3\\x=2+3\\x=5[/tex] [tex]x+y=7\\y+3+y=7\\2y+3=7\\2y=7-3\\2y=4\\ \frac{2y}{2}=\frac{4}{2}\\ y=2[/tex]
The solution of the system, x + y = 7, x = y + 3 is x = 5 and y = 2.
What is the equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It shows that the expressions printed on the left and right sides have an equal relationship.
Given:
x + y = 7
x = y + 3
Write both equations as shown below,
x = -y + 7
x = y + 3
Add both equations,
x + x = -y + y + 7 + 3
2x = 10
x = 5,
5 = y + 3
y = 5 - 3
y = 2
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Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) y = 3x + 2 y = 3x + 8 y = −3x − 2 y = −3x + 8
Answer:
work shown and pictured
Tamara earns $15 an hour at her job working 30 hours per week. If her net pay is 72% of her paycheck and she has no other sources of income, what is Tamara’s monthly cash inflow? (Assume there are 4 pays per month )
Answer:
126
Step-by-step explanat
(30)(15) - (72%)
Answer:
$1296
Step-by-step explanation:
paycheck in 1 month: $15/hour * 30 hours/week * 4 weeks/month = $1800/month
net pay = 72% of paycheck in 1 month = 72% of $1800 =
= 0.72 * $1800 = $1296
The effect of the time of day a psychology class is taught on test scores is
being studied in an experiment. The difficulty of test questions has been
identified as an extraneous factor that could also affect test scores. How ca
the difficulty of test questions best be addressed to minimize its effect in th
experiment?
O A. Blocking into groups based on the teacher of the class
O B. Replication of the experiment at different times of the year
O C. Randomization of students in morning and afternoon classes
D. Direct control by requiring every class to take the same test
The correct answer will be option C Randomization of students in morning and afternoon classes.
What is psychology?Psychology is the scientific study of the mind and behavior, according to the American Psychological Association.
The only way to minimize this effect would be through randomization of students in morning and afternoon classes.
Doing so apply the factor of skill from an individual student to either time of day class greatly lessens the overall effect that it has on the results.
This therefore, minimizes the effect it has on the experiment itself, since the same students that have been studying in a certain time of day would be randomized and not have the same environment that they are used to.
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Answer:
Step-by-step explanation:
Direct control by requiring every class to take the same test
is -12, -10, -8, and -6 linear, exponential or neither
Answer:
Linear
Step-by-step explanation:
It goes up by 2 each time, so it would be linear.
What is the solution set for the inequality?
-6x+9>7x+74
Answer:
Step-by-step explanation:
- 6x + 9 > 7x + 74
Treat them as being equal first.
Subtract 9 from both sides.
- 6x + 9 - 9 > 7x + 74 - 9
- 6x > 7x + 65
Subtract 7x from each side
- 6x - 7x > 7x - 7x + 65
- 13x > 65
Divide each side by -13
- 13x / -13 > 65 / -13
x < -5
So x hust be smaller than -5 meaning -6 works but -4 doesn't.
What is the image of the point (0,5) after a rotation of 180° counterclockwise about
the origin?
Answer:
(0, -5)
Step-by-step explanation:
When we rotate a point around the origin 180°, the original coordinates (x, y) become (-x, -y).
So,
-0 is just 0 (since 0 is both negative and positive)
-(5) is -5
This makes our new point (0, -5).
Hope this helped!
what does this symbol mean
Answer:
false contradiction
Step-by-step explanation:
The '⊥' symbol stand for false contradiction. The up tack or falsum ('⊥') is a constant symbol used to represent: The bottom element in lattice theory. ... A logical constant denoting "false" in logic.
Step-by-step explanation:
The symbol shows to be perpendicular since the vertical line is dividing the horizontal in half with an angle of 90 I guess
assalaamu alaikum...,
solve this.
anyone want brainliest. then answer this question.
thanks. but no nonsense answer's
Answer:
see below
Step-by-step explanation:
alaikum salam.
2. find cos Ф, sin Ф, tan Ф
cos Ф = 5 / 13
Ф = 67.38
sin Ф = 12 / 13
Ф = 67.38
tan Ф = 12 / 5
Ф = 67.38
-----------------------
3. find sin β, cos β, tan β
sin β = 4 / 5
β = 53.13
cos β = 3 / 5
β = 53.13
tan β = 4 / 3
β = 53.13
Answer: Step-by-step explanation
2.
cos Ф = 5 / 13 , Ф = 67.38
sin Ф = 12 / 13 , Ф = 67.38
tan Ф = 12 / 5 Ф = 67.38
3.
sin β = 4 / 5 β = 53.13
cos β = 3 / 5 β = 53.13
tan β = 4 / 3 β = 53.13
plane XYZ does not contain point Z
Answer: False
Point Z is part of the sequence XYZ, so that means point Z is part of plane XYZ.
How can you plot a point using its (x,y) coordinates?
Answer:
each
Step-by-step explanation:
A rectangle has a length of 20 inches. if its perimeter is 64 inches, what is the area?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}[/tex]
Step-by-step explanation:
Given,
Length of a rectangle = 20 inches
Perimeter of a rectangle = 64 inches
Area of a rectangle = ?
Let width of a rectangle be ' w ' .
First, finding the width of a rectangle
[tex] \boxed{ \sf{perimeter = 2(l + w)}}[/tex]
plug the values
⇒[tex] \sf{64 = 2(20 + w)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{64 = 40 + 2w}[/tex]
Swap the sides of the equation
⇒[tex] \sf{40 + 2w = 64}[/tex]
Move 2w to right hand side and change it's sign
⇒[tex] \sf{2w = 64 - 40}[/tex]
Subtract 40 from 64
⇒[tex] \sf{2w = 24}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2w}{2} = \frac{24}{2} }[/tex]
Calculate
⇒[tex] \sf{w = 12 \: inches}[/tex]
Width of a rectangle ( w ) = 12 inches
Now, finding the area of a rectangle having length of 20 inches and width of 12 inches
[tex] \boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}[/tex]
plug the values
⇒[tex] \sf{area \: of \: rectangle =20 \times 12 }[/tex]
Multiply the numbers : 20 and 12
⇒[tex] \sf{area \: of \: rectangle = 240 \: {inches}^{2} }[/tex]
Hence, Area of a rectangle = 240 inches²
Hope I helped !
Best regards!
whats the answer to this
Answer:
Step-by-step explanation:
sweet
HW Score: 10%,
2 of 5 (1 completo)
Score: 0 of 1 pt
Question Help
2.2.23
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 190 lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1140 b. How many boxes of
books can the delivery person bring up at one time?
What is the measure of angle KQL please help fast
3, 7, 11, 15, 19, 23, ...
what’s the next number in the pattern then explain how you got the answer
Answer:
27
Step-by-step explanation:
if you add 4 to 3 you get 7 and if you add 4 to 7 you get 11 so keep adding 4 to all the numbers and you will get the next number.
Answer:
The pattern is going by 4 so your next number would be 27
Step-by-step explanation:
Count from 3 to reach 7 then you get 4 same goes for the rest of the numbers so if you count 4 more of 23 you get 27
Hope that answered ur question
(-12)^9 negative or positive
12v+10v+14=80 solve the equation
Answer:
v=3
Step-by-step explanation:
What is the square root of 255
Answer:
the square root of 225 is 15.9
Answer:
15.♾
Step-by-step explanation:
Henrique began to solve a system of linear equations using the linear combination method. His work is shown below Complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equations to find the value of x. What is the solution to the system?
Complete question is;
Henrique began to solve a system of linear equations using the linear combination method. his work is shown below
1. 3 (4x-7y=28) -> 12x-21y=84
-2 (6x-5y=31) -> -12x 10y =62
2. 12x - 21y = 84
-12x + 10y = -62
-----------------------
-11y = 22
3. y= -2
complete the steps used to solve a system of linear equations by substituting the value of y into one of the original equation s to find the value of x. what is the solution to the system
Answer:
x = 3.5
Step-by-step explanation:
We are given;
1. 3(4x - 7y = 28) -> 12x - 21y = 84
-2(6x - 5y = 31) -> -12x + 10y = 62
2. 12x - 21y = 84
-12x + 10y = -62
-----------------------
-11y = 22
3. y= -2
Since y = - 2, let's put -2 for y into the equation; 12x - 21y = 84
This gives;
12x - 21(-2) = 84
This gives;
12x + 42 = 84
12x = 84 - 42
12x = 42
x = 42/12
x = 3.5
The Earth's atmosphere is divided into layers including the troposphere, stratosphere, mesosphere, etc. The troposphere is the layer that is closest to the Earth's surface. The distance from Earth and the troposphere's temperature have a negative association. Interpret the meaning of the negative association with respect to the temperature. As you move closer to the Earth, the temperature decreases. As you move away from the Earth, the temperature increases. As you move closer to the Earth, the temperature remains the same. As you move away from the Earth, the temperature remains the same. As you move away from the Earth, the temperature decreases.
Answer:E
Step-by-step explanation:
just took the test
The atmosphere is divided into five different layers, based on temperature.
Which layer of the atmosphere is divided into layers?The graphic below illustrates how the layers of the atmosphere can be separated based on temperature.The troposphere, stratosphere, mesosphere, and thermosphere are those layers.The exosphere is a different zone that starts roughly 500 km above the surface of the Earth. Based on temperature, the atmosphere is separated into five distinct strata.The troposphere, which is located between five and ten miles (or seven and 15 kilometers) above Earth's surface, is the layer that is closest to the surface.The troposphere is significantly thinner near the North and South Poles than it is at the equator. The atmosphere of Earth includes five primary layers and a number of minor ones.The troposphere, stratosphere, mesosphere, thermosphere, and exosphere are the primary layers, in order from lowest to highest.Troposphere.
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Simplify-80)
(-20)
04
04
0-40
40
Help please
Answer:
the second choice which is positive 4 is the answer
Answer:
4
Step-by-step explanation:
(-80)/(-20)=
(-40)/(-10) when divided by 2
(-20)/(-5) when divided by 2 again
(-4)/(-1) when divided by 5
4 when divided by -1
Hope this helps
(pls mark brainliest)
The perimeter of parallelogram ABCD is 46 inches. What is DA?
3 in.
4 in.
8 in.
19 in.
Answer: It is B
Step-by-step explanation:
Fill in the blank. 1-5=_9 Choose 1 answer: a < b >or c=
Answer:
[tex]\Huge \boxed{\mathrm{\bold{a)} \ < \ }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
1 - 5 __ 9
Subtract.
-4 __ 9
We know that -4 is less than 9.
The “less than” symbol is “<”.
[tex]-4<9[/tex]
[tex]\rule[225]{225}{2}[/tex]
indeed some help me plz
Answer:
3
Step-by-step explanation:
15-2x=3x
or,3x+2x=15
or,5x=15
or,x=15/5
Therefore, x=3.
In the figure given below, ∠DBC=90° and ∠DBE is one-third of ∠ABE. What is the measure of ∠CBE?
Answer:
∠DBE=1/3∠ABE ---> ∠DBE/ ∠ABE=1/3---->∠DBE/(∠DBE+∠ABE)=1/1+3
∠DBE=1/4 x 90=18 ----> ∠CBE=90 + 22.5=112.5
Step-by-step explanation:
Answer:
112.5°
Step-by-step explanation:
[tex] m\angle DBC = 90\degree.... (given) \\
m\angle DBE = \frac{1}{3}m\angle ABE.... (given) \\
m\angle ABE + m\angle DBE +m\angle DBC= 180\degree\\.. (straight \: line \: \angle 's) \\
m\angle ABE + \frac{1}{3}m\angle ABE +90\degree= 180\degree\\
\bigg(1+ \frac{1}{3}\bigg) m\angle ABE = 180\degree - 90\degree \\
\bigg(\frac{3+1}{3}\bigg) m\angle ABE = 90\degree \\
\frac{4}{3} m\angle ABE = 90\degree \\
m\angle ABE = 90\degree \times \frac{3}{4}\\
m\angle ABE = \frac{270\degree}{4}\\
\huge\red {\boxed {m\angle ABE = 67.5\degree}} \\
\therefore m\angle DBE = \frac{1}{3}\times 67.5\degree \\
\huge \purple {\boxed {\therefore m\angle DBE = 22.5\degree}} \\
m\angle CBE = m\angle CBD + m\angle DBE\\
\therefore m\angle CBE = 90\degree + 22.5\degree\\
\huge \orange {\boxed {\therefore m\angle CBE = 112.5\degree}} [/tex]
Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?
The approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
What is binomial distribution?A probability distribution known as the binomial distribution is used to characterize the number of successes in a certain number of independent trials, where each trial has only one of two potential outcomes (success or failure) and the chance of success is constant across all trials. For determining the likelihood of achieving a certain number of successes in a set number of trials, it is utilised.
Given, Ankit makes 74% of the free throws.
Using binomial distribution we have:
[tex]P(X=k) = (n C k) * p^k * (1-p)^{(n-k)}[/tex]
For k = 3 we have:
[tex]P(X=3) = (3 C 3) * 0.74^3 * (1-0.74)^{(3-3)}\\\\P(X=3) = 0.74^3[/tex]
P(X=3) ≈ 0.405
Hence, the approximate probability that Ankit will make all three shots is 0.405 or 40.5%.
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