Calculate the height of the upper triangle, using the Pythagoras theorem
[tex]\begin{gathered} 25^2=7^2+h^2 \\ h^2\text{ = }625\text{ - 49} \\ h^2\text{ = }576 \\ h\text{ = }\sqrt[]{576} \\ h\text{ = }24 \end{gathered}[/tex]The length of the vertical diagonal = 2 x 24
The length of the vertical diagonal = 48m
[tex]\begin{gathered} \text{Area = }\frac{48\times14}{2} \\ \text{Area = }48\times7 \\ \text{Area = 336 m}^2 \end{gathered}[/tex]6 7) through: (4, 5), parallel to y=-x
Answer:
Step-by-step explanation:
thank you for the points
find the slope and y intercept of the line.y= -3/4x+1
Explanation
we can easily solve this by checking the equation
[tex]y=-\frac{3}{4}x+1[/tex]It is writen in slope- y intercept fom
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope} \\ \text{and b is the y-intercept} \end{gathered}[/tex]hence
[tex]\begin{gathered} y=-\frac{3}{4}x+1\Rightarrow y=mx+b \\ \text{ therefore} \\ m=\text{slope}=-\frac{3}{4} \\ b=y-\text{Intercept}=1 \end{gathered}[/tex]I hope this helps you
a student is trying to solve the system of two equations given below:equation P: y + z = 6equation Q: 5y + 9z = 1Which of the following is a possible step used in eliminating the y-term?A: (y + z = 6) × 9B: (y + z = 6) × -5C: (5y + 9z = 1) × 9D: (5y + 9z = 1) × 5
we have the system
y + z = 6 ------> equation P
5y + 9z = 1 -----> equation Q
i will solve by elimination
step 1
Multiply the equation P by -5
so
(y + z = 6) *-5
-5y-5z=-30
adds equation Q
-5y-5z=-30
5y + 9z = 1
------------------
5z+9z=-30+1
therefore
the answer is the option BI neeeeeeeeeeeeeeeeeedddddd helpppp!
Question: A shipment of 288 reams of paper was delivered. Each of the 30 classrooms received an equal share of the paper. Any extra reams of paper were stored After the paper was distributed to the classrooms, how many reams of paper were stored?
Answer:
18
Step-by-step explanation:
288/30=9 288-270= 18 9×30=270
AA M2/L15 zearn.org Juanita swam Zearn Convert to Solve actice for a competition, Juanita swam 0.73 kilometer in the pool each day for 2 weeks How many meters did Juanita swim in those 2 weeks? 1 km = 1,000 m
10220 meters Juanita swim in those 2 weeks.
Given that,
Juanita practiced her swimming for a competition by swimming 0.73 kilometers in the pool every day for two weeks.
We have to find Juanita swam how many meters in those two weeks? 1 km = 1,000 m
First, we multiply the number of days swam by the amount of kilometers swan each day.
0.73×2 week
0.73×14days
10.22
The kilometers are then multiplied by the conversion rate to convert them to meters.
10.22 kilometers multiplied by a 1000 m to m conversion factor results in 10220 m.
Therefore, 10220 meters Juanita swim in those 2 weeks.
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3. If the length of a rectangular garden is 2 feet less than the length of a house and the
width of the garden is 5 feet less than half the length of the house, what is the
expression for the area of the garden?
A. 0.5x² - 6x + 10
B. 0.5x²+6x-7
C. 0.5x+10
D. 1.5x² - 6x + 10
E. 1.5x²-6x + 10
Answer:
A. 0.5x² - 6x + 10
hope you get a point
football field is 300 ft long and 160 ft wide , to nearest hundredth, how many acres in football field
I need help with my math
The equation of a line is the form of
[tex]\begin{gathered} y\text{ = mx +c} \\ \text{where} \\ m\text{ = slope} \\ \text{and} \\ c\text{ = y-intercept} \end{gathered}[/tex]The equation of the line was, however, given as
[tex]5x-3y\text{ = (-9)}[/tex]To rewrite this equation in slope-intercept form, we must first find the slope and y-intercept from the equation by rearranging it
[tex]\begin{gathered} 5x+9=3y \\ 3y\text{ = 5x+9} \\ \frac{3y}{3\text{ }}=\frac{5x}{3}+\frac{9}{3} \\ y\text{ = }\frac{5}{3}x+3 \\ \text{From here the slope, m =}\frac{5}{3} \\ \text{and } \\ \text{the y-intercept, c = 3} \end{gathered}[/tex]Hence the required equation is y =(5/3)x +3. The answer is the third option
Graph the line.2) Through (2, -6) and (-1,9)
Attached above is the graph of the line passing through the points (2, -6) and (-1,9).
How to plot the graph:
Firstly, we need to locate the first point (2,-6)
That means a point 2 on the x axis and -6 on the y-axis.
Then, next locate the second point (-1,9)
That means a point -1 on the x axis and 9 on the y-axis.
Then lastly, join the two points.
[tex]g(x) = \frac{3}{x - 4} [/tex]find the domain, range and zeros/intercepts.The domain would be all real numbers not equal to 4. Right?How do I find the range and intercepts?
You are right about the domain
it is all real values of x except 4
So about the range we must make x subject of the formular so we know the values of y in which g(x) is defined
[tex]undefined[/tex]u
Deshawn and lee have 64 shirts altogether. Lee has 18 fewer shirts than deshawn.
Answer: The answer is 64-18 so its 46 hope i helped
Step-by-step explanation:
64-18
The hardware store is 3 miles from Chris's house. How many feet would he have to go if he were walking toward the ? hardware store?
Answer:
First you need to know how many feet are in a mile (5280 ft) and so you would multiply this by 3 and to show your work because teachers need that now sadly you do this
[tex]3x5280=[/tex]
15820
:)
The wavelength of a wave of frequency 100 Hz is 3.3m. Find it's speed
Answer:
330
Step-by-step explanation:
100*3.3=330
Step-by-step explanation:
Given:
Wavelength of wave : 3.3m
Frequency of wave : 100Hz.
speed/velocity : ?
As we know
velocity = wavelength × Frequency
= 3.3 × 100
=330ms−1
So the speed of the wave is 330 ms·¹
answer to this problem
Answer:
Step-by-step explanation:
decrese by 10
According to Hooke's Law, the force needed to stretch a spring is proportional to the distance the spring is stretched. If a force of 180 newtons stretches a spring 6 cm, what is the direct variation equation for this spring? If a force of 420 newtons was applied, what is the distance the spring will be stretched? Select all answers that apply.
[mark all correct answers]
a) f=6x
b) f=30x
c) f=70x
d)x=14
e) x=31.5
f) x=2.6
The direct variation equation is: b) f = 30x.
The distance 420 newtons will stretch is: d) x = 14.
How to Write a Direct Variation Equation?The direct variation equation can be defined as y = kx, where k is the constant of proportionality, which is k = y/x, while x and y are the variables.
Let y represent the distance the spring is stretched, while x represents the force that is applied to the spring.
If a force (f) of 180 newtons is applied to stretch a distance of the spring (x) to 6 cm, therefore:
Constant of proportionality, k = 180/6
Constant of proportionality, k = 30
To write the direct variation equation, substitute k = 30 into f = kx:
f = 30x.
To find the distance (x) the spring will be stretched when 420 newtons was applied, substitute f = 420 into y = 30x:
420 = 30x
420/30 = 30x/30
14 = x
x = 14
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what is the value of y in the triangle at the right? (sorry the picture is a little blurry)
Answer:
To find the length y from the given right anled triangle.
Since the given triangle is right anled triangle,
we have the following,
[tex]\sin \theta=\frac{opposite\text{ side}}{hypotenuse}[/tex]Let,
hypotenuse =14
opposite side=y
Substitute the values we get,
[tex]\sin 30\degree=\frac{y}{14}[/tex]we know that, sin 30=1/2
Using this we get,
[tex]\frac{1}{2}=\frac{y}{14}[/tex][tex]y=\frac{14}{2}[/tex][tex]y=7[/tex]Answer is: option D: 7
Write and solve an equality to find the values of x for which the perimeter of the rectangle is less than 128
The value of x for which the perimeter of the rectangle is less than 128 is x < 30.
How to find the perimeter of a rectangle?The perimeter of a rectangle is the sum of the whole sides of a rectangle. Recall a rectangle is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.
Therefore, the perimeter of the rectangle is less than 128.
Hence,
perimeter of a rectangle = 2(l + w)
perimeter of a rectangle = 2l + 2w
where
l = side lengthw = widthTherefore,
2(x + 4) + 2x < 128
2x + 8 + 2x < 128
4x + 8 < 128
4x < 128 - 8
4x < 120
Therefore,
x < 30
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Select the correct
symbol to make 22/7 √17 a true statement
Options: <, >, or =
Among the given numbers, [tex]\sqrt{17} > \frac{22}{7}[/tex]
We have two numbers, which are 22/7 and [tex]\sqrt{17}[/tex]
Both of the numbers are irrational numbers, they are nonrepeating and nonterminating.
A fraction written in a particular way is called decimal form.
Now, evaluating both the given numbers in decimal form, we get,
22/7 = 3.14
and [tex]\sqrt{17} = 4.12[/tex]
Now, Clearly, 4.12 > 3.14
Thus, [tex]\sqrt{17} > \frac{22}{7}[/tex]
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Nov 03, 2:56:13 PM
Find the Area of the figure below, composed of a rectangle with two semicircles
removed. Round to the nearest tenths place.
Answer:
10
D(
PLEASE HELP 30 POINTS !!!!!!!!!!!!
Answer:
31.7 units²
Step-by-step explanation:
Since the two semicircles have the same radius, they have the same combined area as a full circle.
Rectangle: length 10; width 6
Circle: diameter 6; radius 3
area = area of rectangle - area of circle
area = LW - πr²
area = 10 × 6 - 3.14159 × 3²
area = 60 - 28.27431
area = 31.72569
Answer: 31.7 units²
How much you learned about the inverse, converse, and contrapositive of a conditional (if-then) statement, and how this can be applied in real life
A conditional statement can be written as:
[tex]p\rightarrow q[/tex]An example of this in real life is:
[tex]\text{If it rains then the floor gets wet.}[/tex]In this case:
p = it rains
q = the floor gets wet
The converse of that conditional is:
[tex]\begin{gathered} q\rightarrow p \\ \text{If the floor gets wet then it rains.} \end{gathered}[/tex]Notice that the conditional being true doesn't mean necessarily that its converse is true. For example, every time it rains the floor gets wet can be true, but the floor could get wet for other reasons, so the converse would not be true.
Also, the inverse of that conditional is:
[tex]\begin{gathered} \neg p\rightarrow\neg q \\ \text{If it does not rain then the floor does not get wet.} \end{gathered}[/tex]As we see, the inverse of a true conditional statement is not necessarily true.
And the contrapositive of that conditional statement is:
[tex]\begin{gathered} \neg q\rightarrow\neg p \\ \text{If the floor does not get wet then it does not rain.} \end{gathered}[/tex]Now, the contrapositive of a true conditional statement is always true. Notice that if every time it rains the floor gets wet, the only explanation for the floor not getting wet is that it does not rain.
Find the slope of any line parallel to the line through (6, 2) and (-6, 3).Slope=
Parallel lines will have the same slope.
Then we can calculate the slope for this line and it will be the same for all its parallel lines.
Given two points (x1,y1) = (6,2) and (x2,y2) = (-6,3) we can calculate the slope m as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{-6-6}=\frac{1}{-12}=-\frac{1}{12}[/tex]The slope for this line and all its parallels is m = -1/12.
Answer: -1/12
A pack of paper costs $3.79, including tax. Mr. Valentino wants to purchase packs of paper for his class and has a $15 budget. Write and solve an inequality to solve for the number of packs of paper Mr. Valentino can purchase,
Explanation
Let the unknown pack of books x. Therefore;
[tex]3.79x\leq15[/tex]Hence;
[tex]\begin{gathered} 3.79x\leq15 \\ x\leq\frac{15}{3.79} \\ x\le\:3.95778 \end{gathered}[/tex]Answer: Mr Valentino can buy approximately 3 packs
Graph the line with the equation y = - 3/5x - 3
we have
y = - 3/5x - 3
To graph the line we need at least two points
so
Find the intercepts
step 1
Find the y-intercept (value of y when the value of x is zero)
For x=0
y=-(3/5)*(0)-3
y=-3
the y intercept is the point (0,-3)
step 2
Find the x-intercept (value of x when the value of y is zero)
For y=0
0=-(3/5)x-3
(3/5)x=-3
x=-5
so
the x-intercept is the point (-5,0)
step 3
Graph the line
Plot the intercepts and join them to draw the line
using a graphing tool
see the attached figure
please wait a minute
Answer:
Step-by-step explanation:
y=−
5
3x
−3
2 Add 33 to both sides.
y+3=-\frac{3x}{5}
y+3=−
5
3x
3 Multiply both sides by 55.
(y+3)\times 5=-3x
(y+3)×5=−3x
4 Regroup terms.
5(y+3)=-3x
5(y+3)=−3x
5 Divide both sides by -3−3.
-\frac{5(y+3)}{3}=x
−
3
5(y+3)
=x
6 Switch sides.
x=-\frac{5(y+3)}{3}
x=−
3
5(y+3)
please help me......
write in y=mx+b form
Answer:
What?
Step-by-step explanation:
D.
For the spring picnic, Mr. Jones served 85 hot dogs to 50 people. Mr. Jones expects 68 people at the fall picnic. Which proportion could be used to find how many hot dogs Mr. Jones needs for the fall picnic?
If Mr. Jones served 85 hot dogs to 50 people the proportion of hot dogs is:
[tex]\frac{85}{50}\text{ hot dogs/person}[/tex]If he expects 68 people at the fall picnic, the amount of hot dogs he will need is the number of people multiplied by this proportion:
[tex]\text{hot dogs = 68p }\cdot\frac{85}{50}\text{ hot dogs/p}[/tex]Answer
The proportion that could be used to find how many hot dogs Mr. Jones will need for the fall picnic is 85/50
He will need 115.6 hot dogs (since the number of hot dogs is a whole number, He will have to buy 116 hot dogs)
1. Tanisha drove 120 miles on 5 gallons of gas. How many miles can she drive t she has 12 gallons of gas?
Match the cards that have equivalent expressions. WILL GIVE BRAINLIEST!!!
Answer:
• 5x + 20 = 5(x + 4)
• 5(2x + 8) = 10x + 40
,• 5(x + 8) = 5x + 5.8
What are the answers for these, please add workings so I can understand.
What equation is graphed in this figure? y+2=(x - 2) y+1=(x − 3) y -4 = (x+2)y-3 =3/2 (x+1)
the Answer:is y=-3x+1 so it would b c:)
is y= -4 a linear equation?
Answer:
Yes
Step-by-step explanation:
Answer: yes it is linear
Step-by-step explanation: linear line is a straight line and y=-4 is 1 line so it is linear