the area of the trapezoid is 9
Answer:
A = 7.5 unit^2
Step-by-step explanation:
The area of a trapezoid is found by
A =1/2 (b1+b2) *h
b1 = 1 unit
b2 = 4 units
h = 3 units
I found these by counting on the graph
A = 1/2(1+4) *3
A = 1/2(5)3
A = 7.5 unit^2
Hallar el menor de tres números consecutivos, si la suma de la mitad del número menor más la tercera parte del número mayor excede en cinco al número de en medio
Answer:
The lowest of three consecutive numbers is [tex]-32[/tex]
Step-by-step explanation:
The question in English
Find the lowest of three consecutive numbers, if the sum of one-half of the lowest number plus one-third of the highest number exceeds the middle number by five.
Let
x-----> the lowest consecutive number
x+1-----> the middle consecutive number
x+2-----> the highest consecutive number
[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5[/tex]
solve for x
[tex]\frac{x}{2}+\frac{x+2}{3}=(x+1)+5\\ \\ \frac{3x+2x+4}{6}=x+6\\ \\5x+4=6x+36\\ \\6x-5x=4-36\\ \\x=-32[/tex]
An astronaut who weighs 126 lb on earth weighs 21 lb on the moon. How much would a person who weighs 234 lbs on the moon weigh on earth
Answer:
[tex]1,404\ lb[/tex]
Step-by-step explanation:
we know that
using proportion
[tex]\frac{126}{21}\frac{earth}{moon} =\frac{x}{234}\frac{earth}{moon}\\ \\x=126*234/21\\ \\x=1,404\ lb[/tex]
Answer: 1,404 lb
Step-by-step explanation:
1. You have the following information given in the problem:
- The weight of the astronaut on eart is 126 lb.
- The weight of the astronaut on the moon is 21 lb.
2. Therefore, you can calculate the weight of a person on earth, knowing that that person weighs 234 lb of the moon, as following:
[tex]weight_{earth}=\frac{(234lb)(126lb)}{21lb}\\\\weight_{earth}=1,404lb[/tex]
Then, the person would weighs 1,404 lb on earth.
Which equation could represent p? Please please help
The equation could represent p is P(x) = (x+3)(x-2)^2
The brackets indicate where the curve will intersect the x-axis.
The curve intersects the graph at (0,-3) and (0,2).
That is to say:
x = -3
AND
x = 2
Rearrange the equations so that they equal 0.
x + 3 = 0
x - 2 = 0
The values in the brackets will be used.
We know that x - 2 is a repeating root because the curve only touches it and does not cross it, hence (x-2) is squared.
As a result, your brackets are as follows: (x+3)(x-2)(x-2)
Which of the following can be simplified:
(x+3)(x-2)^2
Where 2 denotes squared.
HELP!!!
Pavel said that he could graph -5 by counting 5 units to the left of 5. Is he correct? Explain
No, Pavel is not correct. Counting 5 units to the left is the same as saying 5 - 5, which equals zero. Pavel would need to count 10 units to the left of 5 in order to get -5.
5 times the sum of 40 and 80. what is the numerical expression that would represent the phrase?
The expression is 5(40+80)
Step-by-step explanation:The sum of 40 and 80 can be written as
(40+80)
and when we take the 5 times of the sum
we can write as
5(40+80)
what are the outputs of -1 and 1 in g(x)
Answer:
g(-1) = -0.571
g(1) = -7
Step-by-step explanation:
To easily solve this problem, we can use a graphing tool to plot both f(x) and g(x) and
f(x) = 2*(3.5)^x
g(x) = -2*(3.5)^x
g(-1) = -2*(3.5)^(-1) = -0.571
g(1) = -2*(3.5)^(1) = -7
What is the surface area of this cylinder (round to the nearest tenth) 6.4 m2 25.1 m2 37.7 m2 62.8 m2
Answer: 62.8m^2
Step-by-step explanation:
Surface area of a cylinder = [tex]2\pi r^{2} + 2\pi rh[/tex]
r = 2m, h = 3m
[tex]2\pi (2)^{2} + 2\pi (2)(3)[/tex]
= 62.83185
Answer:
62.8m^2
Step-by-step explanation: 2\pi r^{2} + 2\pi rh
r = 2m, h = 3m
2\pi (2)^{2} + 2\pi (2)(3)
= 62.83185
A number line is shown below. The numbers 0 and 1 are marked on the line, as are two other numbers a and b. What is a+b?
A 2a
B 2b
C 0
D The answer can not be found using the information given
d the answer can not be found using the information given
(30___5) ÷ 2= 3
complete the number sentence to make it true.
You would have to divide because 30/5= 6 and 6/2= 3
Answer:
The answer is 6.
Step-by-step explanation:
Start with the parentheses. Think of what operations can work for this. Since the answer (3) is small, division makes sense.
(30 / 5) = 6
Then, divide 6 by 2. The answer is 3.
I hope this helped! :-)
Help with 21 would be much appreciated.
Answer:
[tex]\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}[/tex]
Step-by-step explanation:
Look at the picture.
ΔADC and ΔCDB are similar. Therefore the sides are in proportion:
[tex]\dfrac{AD}{CD}=\dfrac{CD}{DB}[/tex]
We have
[tex]AD=14-8=6\\CD=y\\DB=8[/tex]
Substitute:
[tex]\dfrac{6}{y}=\dfrac{y}{8}[/tex] cross multiply
[tex]y^2=(6)(8)[/tex]
[tex]y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}[/tex]
For x use the Pythagorean theorem:
[tex]x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}[/tex]
When you purchase an item with a credit card, you might not ever have to pay for it.
Answer:
What is this question?
Step-by-step explanation:
I'm not sure what you are asking.
simplify 7 square root of 3-4 square root of 6 plus square root of 48 minus square root of 54
Answer:
B) 11√3 - 7√6
Step-by-step explanation:
√48 can be simplified to 4√3, and √54 can be simplified to 3√6.
The equation is now 7√3 - 4√6 + 4√3 - 3√6.
This can be grouped into (7√3 + 4√3) + (-4√6 -3√6).
We get 11√3 - 7√6.
Sonia noticed that during the summer an apple tree in their garden grew from 180 cm to 207 cm. What was the percent increase in height of the tree?
Answer: 15%
Step-by-step explanation:
[tex]\%\ change=\dfrac{New-Original}{Original}\times 100\\\\\\.\qquad \qquad=\dfrac{207-180}{180}\times 100\\\\\\.\qquad \qquad =\dfrac{27}{180}\times 100\\\\\\.\qquad \qquad =0.15\times 100\\\\\\.\qquad \qquad =\boxed{15\%}[/tex]
The answer would be 15%.
207-180=27
27/180=3/20
3/20x5 = 15/100
15/100=15%
Which algebraic property is used to rewite (3 + m) + y as 3 + (m + y)?
Distributive property
Commutative property
Associative property of multiplication
Associative property of addition
(._.)✌ please help me my dudes
Answer:
Associative property of addition
ur welcome "my dude" :o)
Answer:
The associative property of addition.
Step-by-step explanation:
The associative property basically says that it doesn't matter if you add y to 3 + m or you add m + y to 3; you'll come out with the same answer in both cases. Put another way, it tells us we can group terms however we want, and it won't effect the outcome. For another example, (3 + 5) + 4 = 3 + (5 + 4) -- it doesn't matter whether we start with 3 + 5 or 5 + 4. The associative property is why we're allowed to write addition without parenthesis.
which model best fits this set of data?
(-3,1),(0,3),(3,5)
HINT: graph the data to determine the best fit
a. cubic model
b. linear model
c. quartic model
d. quadratic model
the answer is quadratic model :)
there are 4 new students. they are holding a pep rally to introduce them. how many different ways can they be introduced
Answer:
They can be introduced 24 different ways
Step-by-step explanation:
To find this, use the factorial function (!)
4! = 4 * 3 * 2 * 1 = 24
Answer:
They're name and age.
Step-by-step explanation:
Step 1: The student would say his/her name.
Step 2: The student would say his/her age.
Step 3: The student would say his/her birthday.
I need help!!! Brainliest for anyone who answers correctly on both!!!
Answer:
The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73
Step-by-step explanation:
First problem:
It's asking for the distance he walks by walking around a rectangular box which is the perimeter.
Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.
Second problem:
Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90
-4x +45 + 7x + 24 = 90
3x + 69 = 90
3x = 21
x= 7.
Plug back x into both m<1 and m<2 to find the measure of the angles.
m<1 = -4(7) + 45 = 45-28 = 17
m<2 = 7(7) + 24 = 49 + 24 = 73
Help Plz Will mark brainliest
Answer:
Step-by-step explanation:
Expression: [tex]x^3-xy+y^2-9[/tex]
7. How could y^2 be rewritten?
y^2 can be rewritten as y*y
8. What does the term xy mean?
The term xy mean that the value of x is multiplied with the value of y or we can sy that we are taking product of x and y.
9. Can you combine all the Xs and Ys in this expression?
No, because the term xy has one x term and one y term and due to this we cannot combine all the Xs and Ys in this expression. We can only combine like terms that have same variables.
Hi, I need help with #23 ASAP! (shown in picture)
Answer:
12 sides
Step-by-step explanation:
Answer:
Step-by-step explanation:
Interior angles is 150 degree
Exterior angles is 360 degree
10points for those who help me ehek chapter; circles
How many sides does the polygon have?
I believe this is a octogan.... which has 8 sides.... I'm not a 100% sure though... I hope I helped!
Answer:
The answer is 8
Step-by-step explanation:
because it's an octagon
The equation of the horizontal line goes through the point (-1,8)is
Answer:
y = 8
Step-by-step explanation:
Parallel lines are lines which do not intersect. If the line is parallel to the x-axis then it is a horizontal line that intercepts the y-axis at the y-coordinate of the point (-1,8). So the equation of the line is y = b where b is the y-coordinate or y-intercept. Here it is y = 8.
Solve the division problem. 9/10 divided by (-3/5) write as a mixed number
Answer: -1 1/2
Step-by-step explanation:
Answer:
[tex]-(1\frac{1}{2})[/tex]
Step-by-step explanation:
Dividend = [tex]\frac{9}{10}[/tex]
Divisor = [tex]\frac{-3}{5}[/tex]
Now divide [tex]\frac{9}{10}[/tex] by [tex]\frac{-3}{5}[/tex]
So, [tex]=\frac{\frac{9}{10}}{\frac{-3}{5}}[/tex]
[tex]=\frac{9}{10} \times \frac{5}{-3}[/tex]
[tex]=\frac{45}{-30}[/tex]
[tex]=\frac{3}{-2}[/tex]
[tex]=\frac{-3}{2}[/tex]
[tex]=-(1\frac{1}{2})[/tex]
So, [tex]\frac{9}{10} \div \frac{-3}{5} = \frac{-3}{2}=-(1\frac{1}{2})[/tex]
Gary is 15 years old. Let s represent Sandy's age. Write an algebraic expression that represents how many years older Sandy is than Gary?
Answer:
15+s=
Step-by-step explanation:
How do I do this and what’s the answer
Answer:
The area of the four curved surfaces is the area of one circle with a radius of 4 cm
Area = PI * radius^2
Area = PI * 4 ^ 2
Area = PI * 16 = 50.26548245744 sq cm
Area of entire square = 8 * 8 = 64 sq cm
Area of yellow region = 64 - 50.265 sq cm =
= 13.735 = 13.7 sq cm (rounded to nearest tenth)
Step-by-step explanation:
Answer:
Area of the yellow part = 13.76
Step-by-step explanation:
Remark
Basically you have 4 quarter circles (which will make up the area of 1 circle) which you then have to subtract from the area of the square. Use pi = 3.14 for the circle.
Area of the square
A = s^2
A = 8^2
A = 64
Area of the 4 quarter circles.
Area = 4* (1/4) * Pi * r^2
r = 4 (1/2 of the square's side)
Area = 4*(1/4) * pi * 4^2
Area = pi * 4^2
Area = 16 * pi
Area of the yellow part
Area of the yellow part = Area of the square - Area of the 4 quarter circles.
Area of the yellow part = 64 - 16*pi This is a possible answer.
Area of the yellow part = 64 - 50.24
Area of the yellow part = 13.76 This is the answer I'd try first.
Louis makes $4638.34 a month. If $345.12 is taken out in taxes, what percentage has been removed?
Step-by-step explanation:
Let's set up a proportion.
345.12/4638.34=x/100.
A percent is always out of one hundred and is the part out of a whole, so to solve for it we must set x equal to the part (345.12) out of the whole (4638.34).
Now if we solve for x it will equal 7.440593, which is kind of a big number. We can round it to the nearest hundredth, 7.44%, or just round it to the nearest percentage 7%.
To calculate the percentage of Louis's income that is taxed, we divide the amount of tax by the total income and multiply by 100. This tells us that Louis pays roughly 7.44% of his monthly income in taxes.
Explanation:To find out the percentage of income that Louis paid in taxes, we first need to divide the total amount of taxes ($345.12) by Louis's total monthly income ($4638.34) and then multiply by 100 to get the percentage. The calculation would look like this: ($345.12 / $4638.34) * 100. If you compute this, you will find that Louis pays about 7.44% of his monthly income in taxes.
So, the percentage that has been removed from Louis's income for taxes is 7.44%.
Learn more about percentage calculation here:https://brainly.com/question/32197511
#SPJ3
First to answer will be the brainliest I need the answer ASAP
90-64= 26 degrees .....
Describe Henry's location relative to the library.
Answer:
Part 1)
Henry's location is at the ordered pair [tex](-3,4)[/tex]
Libray's location is at the ordered pair [tex](2,-3)[/tex]
Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
Step-by-step explanation:
Part 1) Write the ordered pairs that represent Henry and the Library
we have that
Henry's location is at the ordered pair [tex](-3,4)[/tex]
Libray's location is at the ordered pair [tex](2,-3)[/tex]
Part 2) Describe Henry's location relative to the library
Observing the graph
Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
Is the answer is b ? Help
Answer:
No, it is D.
Step-by-step explanation:
It can not be A or C, because length can not be negative
Because the y is the same, you only have to count the distance of the x-axises.
4 - (-3) is 7 units, which is D.
Need help with #1 “how is the equation y= 2x similar to the equation y= 2x + 3?how is it different?”
Answer:
The 2nd one would be different from the first because you are adding 3.
Step-by-step explanation:
SOMEONE plezzz help
(b–2)(b+2)(b^2+4)