Step-by-step explanation: 2/3 of 90 (30+30+30) is 60
What is the midpoint of the segment shown below?
Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the length of the diagonal of the table.
Given:
Dimensions of the rectangular table are 40 inches by 25 inches.
To find:
The length of the diagonal of the table.
Solution:
Diagonal of a rectangle is:
[tex]d=\sqrt{l^2+w^2}[/tex]
Where, l is the length and w is the width of the rectangle.
Putting [tex]l=40,w=25[/tex] in the above formula, we get
[tex]d=\sqrt{(40)^2+(25)^2}[/tex]
[tex]d=\sqrt{1600+625}[/tex]
[tex]d=\sqrt{2225}[/tex]
[tex]d\approx 47.17[/tex]
Therefore, the length of the diagonal is about 47.17 inches.
Which statements about the system are true?
Select TWO options.
y = 1/3x - 4
Зу - х = -7
A. The system has one solution.
B. The system consists of parallel lines.
C. Both lines have the same slope.
D. Both lines have the same y-intercept.
E. The equations represent the same line.
2 Answers:
B) The lines are parallelC) The lines have the same slope.Parallel lines always have equal slope, but different y intercepts.
==========================================================
Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help
Answer:
a. option is the correct answer
What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.
[tex] \boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}[/tex]
[tex]2 \times 3.14 \times 3 \times (3 + 2)[/tex][tex]18.84 \times 5[/tex][tex] \boxed{\mathrm{94.2 \: yd {}^{2} }}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Is x + 15 = 7 true when x = 12?
_________________________
Answer:
no not even if its supposed to be a negative
Step-by-step explanation:
Ms. Dos has already driven 94.6 miles towards los angeles and it took her 1.1 hours to get that far write a multiplication problem that gives Ms. Dodos average speed
Answer: 86 mph
Step-by-step explanation:
Given
Ms. Dos has driven 94.6 miles
Time is taken 1.1 hours
Average speed is given by the ratio of total distance and total time taken
[tex]\Rightarrow \text{Average speed v=}\dfrac{94.6}{1.1}\\\\\Rightarrow v=86\ mph[/tex]
what is the ratios for 150 and 3
A class of 22 students split equally a 10 pound bag of candy.
How much did each student get?
(Simplify the answer.)
Each student reserved 2.2 pounds each
Step-by-step explanation:
I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy
resuelve la siguiente ecuación trigonométrica 2Sena-√3=0
Someone please help me with this question!
Please help, sorry the image is blurry I retook it multiple times.
Answer:
i dont really know for sure, but try P (-8, 6) Q (-5, 2) and R (2, 1) sorry if its wrong
Step-by-step explanation:
Write the equation of the circle graphed below.
Marking brainliest if correct
Answer:
This is the equation that you have to write open this picture I send you the equation
This is the Answer for your question :3
I hope you are having a great day ❤️❤️❤️❤️
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answer:
3
Step-by-step explanation:
one = 3 letters (hence 1 = 3)
two = 3 letters (hence 2 = 3)
four = 4 letters (hence 4 = 4)
five= 4 letters (hence 5 =4)
six= 3 letters- hence 6 = 3
55 POINTS
In a group of 23 students, 2 study both Art and Biology.
2 study Biology but not Art.
4 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer: there are 2 student art and 19 student study Biology
Step-by-step explanation:
Because 4 is already study neither subject.
Each bar includes the left-end value but not the right-end value. For example, the first bar
includes dogs that weigh 60 pounds and 68 pounds but not 80 pounds.
Step-by-step explanation:
Answers:
How many dogs weigh at least 100 pounds?
14 + 5+ 3 + 1 = 23 dogs.
How many dogs weigh exactly 70 pounds?
is unknown, so will be 60-79 .
How many dogs weigh at least 120 and less than 160 pounds?
8 dogs weigh 120 less than 160 pounds.
How much does the heaviest dog at the show weigh?
is unknown, but could be between - 160-179
What would you consider a typical weight for a dog at this dog show? Explain your reasoning.
A typical dog weighs can be 100 - 120.
hope it helps!
Nick cut a circular cookie into 5 equal slices. What is the angle measure of each slice?
A.
36°
B.
72°
C.
108°
D.
144°
Answer:
B
Step-by-step explanation:
72 because 360 divided by 5 is 72
Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34°. Find the magnitude of the resultant, to the nearest pound.
Answer:
10 pounds
Step-by-step explanation:
the requested information so that
hii i’ll give brainliest please help thanks :)
Answer:
3,6,9
Step-by-step explanation:
123 456 789
Answer:
85
Step-by-step explanation:
hi plz mark brainlist
(-2-√3) (-2+√3) when simplified is
Answer:
=1
Step-by-step explanation:
(-2-√3)(-2+√3)
=-2(-2+√3)-√3(-2+√3)
=4-2√3+2√3-√9
=4-3
=1
0.2x + 0.3 = 0.1x + 0.5
Answer:
x = 2
Step-by-step explanation:
0.2x + 0.3 = 0.1x + 0.5 ( subtract 0.1x from both sides )
0.1x + 0.3 = 0.5 ( subtract 0.3 from both sides )
0.1x = 0.2 ( divide both sides by 0.1 )
x = 2
HELLPPPP ITS ARGENT PLZ
the 7 grade leadership class is planning a movie night for all 7 grade students. they are going to do a small survey to help them choose a movie. they will ask 25 people what movie they would like to see. which group f students will most accurately represent the target population
A; the 25 students in the 7 grade leadership class
B; 25 students selected at random at the girls basketball game
C; the first 25 students to fill out the surveys let in the lunch room
D; 5 studentes select at random from each of the five 7 grade English classes
Which decimal is equivalent to 8 3/5 ?
Marking brainliest
Please help
Answer:
The quantities that are needed would be;
a variable (y) representing the total cost that needs to be found out
a constant cost for per cupcake made (This would be 0.17)
a variable (x) representing the number of cupcakes made
any additional cost (This would be $75)
Hope this helps!
Find volume PLS HELP
Answer:
88.3
I just think so
I dont have a 20 letter explantion
If x/y =6, y/w =4, and x=36, what is the value of w? (A) 1 2 (B) 3 2 (C) 2 (D) 4 (E) 6
Answer:
w = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{y}[/tex] = 6 and x = 36 , then
[tex]\frac{36}{y}[/tex] = 6 ( multiply both sides by y )
36 = 6y ( divide both sides by 6 (
6 = y
Then
[tex]\frac{y}{w}[/tex] = 4 , that is
[tex]\frac{6}{w}[/tex] = 4 ( multiply both sides by w )
6 = 4w ( divide both sides by 4 )
[tex]\frac{6}{4}[/tex] = w , that is
w = [tex]\frac{3}{2}[/tex]
Help please !!!!!!!!!!!
Answer:
See below for answers and explanations to the first 5 problems
Step-by-step explanation:
Problem 1:
cos(x) = 2/3
sec(x) = ?
sec(x) = 1/cos(x)
sec(x) = 1/(2/3)
sec(x) = 3/2
Problem 2:
sinβ = -5/6
cscβ = ?
cscβ = 1/sinβ
cscβ = 1/(-5/6)
cscβ = -6/5
Problem 3:
secφ = 2
tanφ = √3
sinφ = ?
secφ = 1/cosφ
tanφ = sinφ/cosφ
tanφ = sinφ/cosφ
tanφ = sinφ(1/secφ)
√3 = sinφ(1/2)
2√3 = sinφ
Problem 4:
secθ = 8
tanθ = 3√7
cscθ = ?
secθ = 1/cosθ
tanθ = sinθ/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
tanθ = sinθ(1/cosθ)
3√7 = sinθsecθ
3√7 = sinθ(8)
(3√7)/8 = sinθ
cscθ = 1/sinθ
cscθ = 1/((3√7)/8)
cscθ = 8/(3√7)
cscθ = (8√7)/21
Problem 5:
sinθ = 2/√5
cosθ = 1/√5
tanθ = ?
tanθ = sinθ/cosθ
tanθ = (2/√5)/(1/√5)
tanθ = (2/√5)(√5)
tanθ = 2
It is winter if and only if it is the month of
December
Answer:
false
Step-by-step explanation:
winter can lead into the months of January February and others.
i hope u can help meeeee!!!
Answer:
1)4,5,8
2)3,6,7
3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7
The table below shows how the length of Alex's
lizard changes over time.
Age
(years)
Length
(centimeters)
1
1
5.0
2.
7.4
3
9.8
4
12.2
5
14.6
What is the slope of the table?
Answer: The domain is all possible inputs and the inputs in this are {1, 2, 3, 4, 5}
Step-by-step explanation:
Inputs(Domain) 1, 2, 3, 4, 5 Outpust (Range) 5.0, 7.4, 9.8, 12.2, 14.6