Answer:
-110
Step-by-step explanation:
-70 + -40 = -110
The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of one side of the square and the length of the rectangle is 3 meters more
than its width.
a) Calculate the dimensions of the rectangle and its perimeter
b) Calculate the dimensions of the square.
Answer:
4 m = width of the rectangle.
6 m = length of the rectangle
20 m = perimeter of rectangle
3 m = side of the square
Step-by-step explanation:
Let s = length of side of square
s + 1 = width of rectangle
s + 3 = length of rectangle
Area of rectangle = (s + 1)(s + 3)
Area of square = [tex]s^{2}[/tex]
So, (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33
[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33
2[tex]s^{2}[/tex] + 4s - 30 = 0
2([tex]s^{2}[/tex] + 2s - 15) = 0
2(s + 5)(s - 3) = 0
s = -5 or s = 3
Length of a side cannot be negative, so -5 is ignored
3 m = side of the square
4 m = width of the rectangle
6 m = length of the rectangle
2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle
Which binomial is a factor of 12x^2 - x - 20
Answer:
12x² - x - 20 = (4x+5)(3x−4)
The fishbowl is shaped like a sphere the fishbowl has a diameter of 16 what is the closest value of water in the Fishbowl and cubic inches
Answer:
2144.66 cubic inches
Step-by-step explanation:
The fishbowl is shaped like a sphere the fishbowl has a diameter of 16.
What is the closest value of water in the Fishbowl in cubic inches?
From the any question, we were told to find the closest value of the water in the fishbowl in cubic inches.
This means we are to find the volume.
The volume of a sphere is given as:
4/3πr³
We are given Diameter of the fish bowl = 16 inches
Radius = Diameter/2 = 16 inches/2
= 8 inches
Hence,
Volume of the sphere (Volume of water) = 4/3 × π × 8³
= 2144.66 cubic inches
There’s 18 boys and 11 girls in a class, they make a team with 7 students
a) in how many ways can they pick a team
b) how many teams can they get knowing there is 4 boys in each one?
"The number of boys is 45 the number of girls,"
or to say,
"The ratio of the number of boys to the number of girls is 45:1."
This second interpretation reflects the fact that 45 is the unit rate (which is a number) for the ratio 4:5.
In Sichuan, China, Bernards stands at the top of the Jinping-1 dam and measures the angle of depression down to where Benjamin is standing at 1999 feet from the base of the dam. If the angle of depression is 26.6 degrees, how tall is the dam? Round to the nearest foot.
Answer:
This illustrates a right triangle.
Given:
a(height) = 2457 ft.
∠A = 22°23' ; which is the elevation and reflects the a(height)
Find:
b(base)
Solution:
Using the law of cosine, specifically tan∠ = opposite side÷adjacent side
By analysis, tan∠A = a÷b
Since we are finding b, the formula will be derived into:
b = a÷tan∠A
Find b(base):
b = 2457 ft. ÷ tan22°23' ; substituting the numbers
b ≈ 5,966.05 ft. ; Final Answer
Step-by-step explanation:
7.
A comet passes Earth every 70 years. Another comet passes Earth
every 75 years. If both comets pass Earth this year, how many years
will it be before they both pass Earth on the same year again?
Answer:
1,050 years
Step-by-step explanation:
A comet passes Earth every 70 years.
Another comet passes Earth
every 75 years
If both comets pass Earth this year, how many years
will it be before they both pass Earth on the same year again?
Find the lowest common multiple of 70 years and 75 years
70 years = 70, 140, 210 , 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260,
75 years = 75, 150, 225 , 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350
Lowest common multiple of 70 years and 75 years is 1,050 years
Therefore,
If both comets pass Earth this year, they both pass Earth the same year again in the next 1,050 years
P
Q
R
S
which one ???????
Solve the inequality for y
Answer:
12
Step-by-step explanation:
[tex]6y \geqslant 72 \\ divide \: both \: side \: by \: 6 \\ y \geqslant \frac{72}{6} \\ y \geqslant 12[/tex]
Answer:
6y > 72
Inequality Form: y > 12
Interval Notation: (12,infinite loop)
I have answered have a good day.
y = r + 1
4y = 40 + 4
Answer:
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
x
=
20
−
2
y
Answer:
r = 10
y = 11
Step-by-step explanation:
4y = 40 + 4
4(r + 1) = 40 + 4
4(r) + 4(1) = 40 + 4
4r + 4 = 40 + 4
4r + 4 = 44
4r + 4 - 4 = 44 - 4
4r = 40
4r ÷ 4 = 40 ÷ 4
r = 10
-----------------------------------------
y = r + 1
y = (10) + 1
y = 11
-----------------------------------------
4y = 40 + 4
4(11) = 40 + 4
4(11) = 44
44 = 44
Question 42 points)
Tell whether the triangles
are similar.
Yes or No
Answer:
yes
Step-by-step explanation:
Answer:
yes. 81+51+48 = 180
I hope this helps
Any help (pre-algebra)!? An explanation would be helpful too.
Answer:
your answer will be 0.75
Step-by-step explanation:
hope it helps
have a nice day!!
I will do it in a way that can solve all these kinds of problem.
Of course, you can just substitute every possible answer in and see which one has the highest y value.
BUT I'm going to do this question by completing the square.
First organize the equation by decreasing degrees.
y=-16t^2+32t
Now factor out a -16 to make the x variable have no coefficient.
y=-16(t^2-2t)
Now complete the square.
y=-16(t-1)^2+16
By this if you graph it its the parent graph y=x^2, its a reflection over x axis by the negative sign at the beginning, then a vertical stretch by 16, and then go to the right by 1 then up by 16. This meant that the vertex is (0,0) go right 1 and up 16.
The vertex or the highest point of the graph is point (1,16) This also meant that its after 1 second at 16 feet height. The answer is B.
Brian gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many smarties as cola bottles. He also picks twice as many marshmallows as smarties. What proportion of the bag of sweets are cola bottles?
Answer:ummmmm
Step-by-step explanation:
t
I need help please and thank you
Answer:
4
Step-by-step explanation:
The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.
Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.
Solving that equation will give you b=-7
That means the y-intercept is -7.
The equation would then be y=4x-7
Is this right please help me
Answer:
there's nothing there you have to insert a file
Step-by-step explanation:
what is the value of a? what is the value of b?
Answer:
b=18, a=9√3
Step-by-step explanation:
30-60-90 rule
CAN SOMEONE PLEASE HELP ME
The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 3. Make a line plot of the data. What age occurs most often?
Answer:
The age which occurs most often is 45 with a frequency of 3
Step-by-step explanation:
Given the data :
33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38
Using the line graph plotter
Combine the like terms to create an equivalent expression 10k + 4k
Answer:
14k
They both have the same variable, so use the communitive property and there is your answer!
What is the value of x?
Answer:
i think it might be C
Step-by-step explanation:
very sorry if it's wrong
On a hot summer day, Nora and her friends decided to have a water fight. They threw water balloons for 1 hour. When all the water balloons were gone, they sprayed water with hoses for 30 minutes. The water fight ended at 1:45 P.M. when Nora's dad showed up with ice cream. What time did the water fight start?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
will give brainilest
Answer: 12:15 pm
Step-by-step explanation:
They had a balloon fight for 1 hour
They played in the hose for 30 minutes
The water fight ended at 1:45 pm minus 1 hour 30 minutes if play = 12:15 pm start time
Look the the question below
Answer:
-40°
Step-by-step explanation:
-13° + -7° = -20°
-20° + -3° = -23°
-23° + 5° = -28°
-28° + -12° = -40°
Answer:
- 13 - 7 + 5 -12
-30/5= -6
Step-by-step explanation:
sum of all observation/total observation
(-13-7+5-12)/5
-30/5
-6
1.
Given the two equations:
y + x = 5
y-2x = -1
i)
Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answer:
The point of intersection is at (2,3)
Step-by-step explanation:
PLS HELP!! WILL AWARD BRAINLIEST
On Sunday John spent 20% more time playing his favorite game than he spent
watching a movie, and he spent 28% less time reading a book than he spent
watching the movie. the time he spent reading the book is what percent of the
time he spent playing his favorite game?
Answer:
I think its 5.6%
Step-by-step explanation:
20% of 28% is 5.6%
if its multiple choice that would help but that's my best guess
9. A team of 8 basketball players need to choose a co-captain and captain.
A) combination
B) permutation
C) neither
Answer:
b
Step-by-step explanation:
Since the order is important, as there are different roles, a permutation is used, hence option B is correct.
When to use the combination and the permutation formula?If the order in which the options are taken is important, permutation is used.Otherwise, if the order in which the options are taken is not important, combination is used.In this problem:
If the order is LeBron and Giannis, LeBron is the co-captain and Giannis is the captain.If it is Giannis and LeBron, Giannis is the co-captain and LeBron is the captain.Hence the order is important, which means that it is a permutation.
More can be learned about the combination and permutation at https://brainly.com/question/25821700
The grades on a math midterm at Springer are roughly symmetric with \mu = 78μ=78mu, equals, 78 and \sigma = 5.0σ=5.0sigma, equals, 5, point, 0. Omar scored 646464 on the exam. Find the z-score for Omar's exam grade. Round to two decimal places.
Answer:
-2.8
Step-by-step explanation:
Given that:
Mean, μ = 78
Standard deviation, σ = 5
Omar's score, x = 64
The Zscore of Omar's score :
Zscore = (x - μ) ÷ σ
Zscore = (64 - 78) / 5
Zscore = - 14 / 5
Zscore = - 2.8
Hence, Omar's exam score is - 2.8
Answer:
-2.8 is correct
Step-by-step explanation:
Match the correct volume equation to each 3-D figure.
Answer:
no image sry cant haelp
Step-by-step explanation:
What is a name for the marked angle?
A: CAD
B: CDA
C: FAB
D: FDA
Answer:
A.) Angle CAD
Step-by-step explanation:
Hope this helps! :)
(a+b)²= ?
please tell the correct answer
Step-by-step explanation:
[tex](a + {b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
What is the domain of the function
Answer:
[tex]x\geq -6[/tex]
Step-by-step explanation:
The domain of a function is all of the values that [tex]x[/tex] can be under that specific function. In this case, we're asking what values of [tex]x[/tex] allow [tex]\sqrt{\frac{1}{3} x+2}[/tex] to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to [tex]0[/tex], because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for [tex]x[/tex]:
[tex]\frac{1}{3}x+2\geq 0[/tex]
Solving this inequality, we get:
[tex]\frac{1}{3}x+2\geq 0[/tex]
[tex]\frac{1}{3}x\geq -2[/tex] (Subtract [tex]2[/tex] from both sides of the inequality to isolate [tex]x[/tex])
[tex]x\geq -6[/tex] (Multiply both sides of the inequality by [tex]3[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
Big ideas chapter 9 answers
do you have a picture with it??