Answer:
3487
Step-by-step explanation:
Complete the similarity statement relating the three triangles in the diagram. Show work.
Answer:
[tex]\Delta JKM\approx\Delta MKL\approx\Delta JML[/tex]Explanation:
There are three right angled triangles are in the diagram of three different sizes.
Identify the right angles.
In the first triangle, the right angle is angle M. In the second one, the right angle is angle K and in the third triangle, it is angle K.
Now, identify the shortest sides of each.
The shortest side in the first triangle is MJ, in the second triangle, it is JK and in the third triangle, it is MK.
In the given triangle JKM, notice that JK is the shortest side and angle K is the right angle. Write the other two tringles also in the similar form with the first two letters gives the short side and middle letter represents the right angle.
So, the similarity statement is
[tex]\Delta JKM\approx\Delta MKL\approx\Delta JML[/tex]$57Mr. Harris attaches a full tank of propane to his grill. Then he turns on the grill and cooks food for a barbecue.Which graph shows the relationship between the amount of propane in the tank and time?OAOB.РРtTime (min.)PropanePropane
As he cooks on the barbecue, the weight of the tank goes down because some of the propane is getting used up.
Given that is happening, the graph showing that has to start with a lot in it and slowly decrease.
That being said, the graph representing the decrease in propane as time passes is C.
Answer: C.
1. Mr. Z's class has 18 boys and 22 girls. What is the ratio of girls to boys?
2. What is the ratio of boys to total students?
3. What is the ratio of girls to total students?
The area of circular pound is 21.5 m2. Work out the diameter of the circle. Give your answer correct to the nearest centimetre.
The diameter of the circle is 5.2m.
The area of circular pond is 21.5 m2
area of a circle is given by the formula
area = πr²
21.5 = 3.14 r²
r² = 6.84
r = ±2.6
r is a length and it cannot be negative
So, r = 2.6
Diameter is twice of radius
d = 2r
d = 2(2.6)
d = 5.2
Therefore, the diameter of the circle is 5.2m.
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What is the solution to 4x+63 18?
What is the solution to;
[tex]\begin{gathered} 4x+6\leq18 \\ \text{Subtract 6 from bothy sides} \\ 4x+6-6\leq18-6 \\ 4x\leq12 \\ \text{Divide both sides by 4} \\ \frac{4x}{4}\leq\frac{12}{4} \\ x\leq3 \end{gathered}[/tex]The first option is the correct answer
……………………………………………………..
?
Please type what you are trying to solve or any questions that you would like answers for.
I have this thing I have to do for homework but in unsure of how to do it.
To check if those segments are parallel, we can compare the slope of the lines that contain them. To find the slope using two points, we can use the following formula
[tex]m=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]Using this formula for the segment AB, we have
[tex]m_1=\frac{((-2)-3)}{((-12)-(-8))_{}}=\frac{-5}{-12+8}=\frac{5}{4}[/tex]Now, using this formula for CD
[tex]m_2_{}=\frac{((-7)-(-3))}{((-2)-(-7))_{}}=\frac{-7+3}{-2+7}=-\frac{4}{5}[/tex]When the slopes are equal, the lines are parallel, if one slope is minus the inverse of the other, they are perpendicular, otherwise they are neither.
Since
[tex]\frac{5}{4}=-(-\frac{4}{5})^{-1}\Rightarrow m_1=-\frac{1}{m_2}[/tex]They are perpendicular.
Which of the following equation has one solution?
Responses
4x + 2x = 6x - 4
3 (2x + 4) = 2 (2x - 4)
5(x - 3) = 5x - 3
2x = 2x + 4
a) 4x + 2x = 6x - 4
= 6x = 6x - 4
cannot be solved further.
b) 3(2x + 4) = 2(2x - 4)
= 6x + 12 = 4x - 4
(bring the numbers and variables on one side)
= 6x + 4x = 12 - 4
10x = 8
x = 8/10 = 4/5
can be solved.
c) 5(x - 3) = 5x - 3
= 5x - 15 = 5x - 3
= (bring the variables and numbers on one side)
5x + 5x = -15 - 3
= 10x = -18
x = -18/10 = 9/5
can be solved
d) 2x = 2x + 4
= 2x + 2x = 4
= 4x = 4
x = 4/4 OR 1.
THUS, (B, (C AND (D CAN BE SOLVED WITH ONE SOLUTION.I need help on the last two finding the function notation
For the second before last f(f), you have to replace x with the function f(x).
For the last one you have to replace x with the function g(x)
[tex]g(x)=2x^2+1[/tex][tex]\begin{gathered} f(g)=3(2x^2+1)+5 \\ f(g)=(3\cdot2x^2)+(3\cdot1)+5 \\ f(g)=6x^2+3+1 \\ f(g)=6x^2+4 \end{gathered}[/tex]6. Chester paid a $30 membership fee to a toddler gym and $8 for each of 6 tumbling
classes for his son. The expression 30 + 8 x 6 can be used to evaluate the total cost
of the program. Is the cost $228 or $78? Explain.
Answer:
$78
Step-by-step explanation:
pemdas says we multiply then add
8x6+30
48+30
78
It is $78 and not $228 because we do not add first when doing order of operations and when we multiply first we get 78 also it’s each tumbling is 8 dollars and there were 6 of them so we just multiply the cost by each tumbling and add the membership fee after.
Hopes this helps please mark brainliest
Help
In 1846 the depth of the river was 5 feet deep.
In 1847 it dropped to 3.8 feet.
This year, 1848, it rose to 6.4 feet.
Find the percent change in river depth & complete the table.
The percent change in river depth is 52%
How to calculate the percentage?From the information, the depth of the river was 5 feet deep, it dropped to 3.8 feet and in 1848, it rose to 6.4 feet. The new feet will be:
= -5 - 3.8 + 6.4
= 2.4
Therefore, the percentage change will be:
= New feet / Initial feet × 100
= (5 - 2.4) / 5 × 100
= 2.6 / 5 × 100
= 52%
Note that there was no table given.
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A fishing boat determines a pod of fish located in the ocean at an angle of depression of 25° from the current boat location. The fishing boat determines the distance through the ocean to the fish is 150 yards. What distance does the boat need to travel on the surface of the ocean to be located directly above the fish? Round to the nearest unit.
Let's draw the situation and see what is the information that we have:
So we have to find the distance x which is the distance that the boat has to travel in order to be located directly above the fish. For this let's use Cosine which is cosine=Adjancent/Hypotenuse
The boat has to travel 136 yards on the surface of the ocean to be located directly above the fish.
Solve the equations.a) 4t^2 - 5t = 0d) (y + 6)(y - 6) = - (y + 6)^2h) h) (u - 4)(u + 4) = (u + 2)(u - 2).
The equations are given
a) 4t^2 - 5t = 0
d) (y + 6)(y - 6) = - (y + 6)^2
h) (u - 4)(u + 4) = (u + 2)(u - 2).
Explanationa. 4t^2 - 5t = 0
[tex]\begin{gathered} t(4t-5)=0 \\ t=0,4t-5=0 \\ t=0,t=\frac{5}{4}=1.25 \end{gathered}[/tex]d. (y + 6)(y - 6) = - (y + 6)^2
[tex]\begin{gathered} y^2-6y+6y-36=-(y^2+36+12y) \\ y^2-36=-y^2-36-12y \\ y^2+y^2+36-36+12y=0 \\ 2y^2+12y=0 \\ 2y(y+6)=0 \\ y=0,y=-6 \end{gathered}[/tex]h. (u - 4)(u + 4) = (u + 2)(u - 2).
[tex]\begin{gathered} u^2+4u-4u-16=u^2-2u+2u-4 \\ u^2-16=u^2-4 \\ u^2-16-u^2+4=0 \\ -12\ne0 \end{gathered}[/tex]Answer
Hence the solution to the equations are
[tex]\begin{gathered} a.t=0,1.25 \\ d.\text{ y=0,-6} \\ h.\text{ no solution} \end{gathered}[/tex]help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
Which of the following is equivalent to (5a + 2b) + 3c?
Answer:
Option C 5a+(2b + 3c)
the ratio 19 yellow beads to 4 red
Answer:
[tex] = 19 : 4[/tex]
Step-by-step explanation:
it is a fixed ratio
laws exponents multiplication band power to a power simplifymake it small steps please the smallest you can like the minimum steps
Answer:
-64x^12
Explanation:
Given the expression
m = -4x^4
You are to look for m^3 as shown;
[tex]\begin{gathered} m=-4x^4 \\ m^3\text{ = (-4x}^4\text{)}^3 \\ m^3=(-4)^3\times(x^4)^3 \end{gathered}[/tex]Open the bracket:
[tex]\begin{gathered} (-4)^3\text{ }\times(x^4)^3\text{ = (-4}\times-4\times-4\text{)}\times x^{^{12}} \\ (-4)^3\text{ }\times(x^4)^3\text{ = (16}\times-4\text{)}\times x^{^{12}} \\ (-4)^3\text{ }\times(x^4)^3=-64x^{12} \end{gathered}[/tex]THe correct answer is -64x^12
If ABCD is dilated by a factor of 2, thecoordinate of B' would be:543С2B1-8 -7-6-5-4-3-2-1 012.34567891011-1A-2D-3B' = ([?], [ ]=4Cotor
We have a figure ABCD that is dilated by a factor of 2.
We have to find the coordinate of the image point B'.
If the center of dilation is the origin (0,0) and the factor is k = 2, we can write the rule:
[tex](x,y)\longrightarrow(2x,2y)[/tex]Then, for B(-1,1), we will get:
[tex]B=(-1,1)\longrightarrow B^{\prime}=(2\cdot(-1),2\cdot1)=(-2,2)[/tex]Answer: B' = (-2,2)
i need help with a couple more im really confused. i'll post all of them.
The all three given problem are equivalent to each other.
64(2⁻ˣ)64/2ˣ64(1/2)ˣWhat is referred as the index/ indices?An index can be assigned to a number or a variable. A variable's index (or constant) is a value raised to a power of a variable. Indexes are also referred to as powers and exponents. It indicates how many times a provided number must be multiplied.If a constant or parameter has an index of '0,' the outcome will be one, regardless of the base value.If the index is negative, it can be represented by the reciprocal of a positive score raised to the identical variable.For the given three problems;
Problem 1: 64(2⁻ˣ)
Taking reciprocal of the (2⁻ˣ),
64/(2ˣ) ....1
Problem 2: 64/2ˣ ....2
Problem 3: 64(1/2)ˣ
Taking (1)ˣ = 1.
64/(2)ˣ ....3
Thus, three equation 1, 2 and 3 are in the same form so are equivalent.
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What number is in the hundreds place after
simplifying?
(21 × 10¹)+(3×
X
10²) + (9 × 10²)
a) 4
b) 1
c) 3
d) 7
The digit in the hundreds place is 4
From the question, we have
(21 × 10¹)+(3×10²) + (9 × 10²)
=210+300+900
=1410
The digit in the hundreds place is 4 and the value is 400.
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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Hello, I need help solving is and finding the checkpoints
161 feet lower
166 feet
Explanationsa) Given the following parameters
Distance of checkpoint 3 above the sea = -197 feet
Distance of checkpoint 5 above the sea = -36 feet
Determine the distance between the checkpoints
Distance = checkpoint 5 - (checkpoint 3)
Distance = -36 - (-197)
Distance = -36 + 197
Distance = 161feet
Hence checkpoint 3 is 161 feet lower than checkpoint 5
b) If the top of the hill is 363feet above check point 3, the altitude of the top of the hill is given as:
Altitude = -197 + 363
Altitude = 166feet
Hence the altitude of the top of the hills is 166feet
Annie's mother asked Annie to go buy oranges, dog food, and bug spray. Each square's side length is 1 block. How many blocks will Annie have to walk in all if she visits the fruit stand, the pet store, and the supermarket, in that order, before returning home?
Here using the length of square, it is obtained that
Annie walked 14 blocks in total.
What is a square?
Square is a two dimensional four sided figure.
Here,
Length of each side of one square = 1 block
From Annie's home to the supermarket, Annie will have to walk 1 block
From Supermarket to pet store, Annie will have to walk 1 block straight and then 2 blocks to the left
From pet store to the fruit vendor, Annie will have to walk 1 block straight and then 2 blocks to the left
Total number of blocks walked by Annie from home = 1 + 1 + 2+ 1 + 2
= 7 blocks
Total number of blocks walked by Annie while returning home
= 1 + 1 + 2+ 1 + 2
= 7 blocks
Total number of blocks walked by Annie = 7 + 7 = 14 blocks
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Complete Question
The figure has been attached
while shopping for clothes, Daniel spent $26 less than 2 times what curtis spent. Daniel spent $10. write and solve an equation to find how much curtis spent. let x represent how much curtis spent
while shopping for clothes, Daniel spent $26 less than 2 times what curtis spent. Daniel spent $10. write and solve an equation to find how much curtis spent. let x represent how much curtis spent
Let
x ------> amount that Curtis spent
we have that
10=2x-26 ------> equation that represent this situation
solve for x
2x=10+26
2x=36
x=$18
therefore
Curtis spent $18Which expression is a factored form of −32m+96 −8(4m+12) 32(−m−3) 16(−2m+6) 32(−m+3)
Answer:
32(−m+3)
Step-by-step explanation:
1. Find the greatest common factor.
32 is the GCF
2. Factor.
32(-m + 3) -- you can check with distrubutive property.
Solve. −45 = −2b + 3 + 8b
Answer:
b= -8
Step-by-step explanation:
just trust me dude. I know what I'm doing
System word problems 1. The cost of 3 boxes of envelopes and 4 boxes of paper is $13.25. 2 boxes of envelopes and 6 boxes of paper cost $17. What is the cost of each?Define Variables:System of Equations:Answer as a sentence:
ANSWER
The cost of a box of envelopes is $1.15
The cost of a box of paper is $2.45
EXPLANATION
Define Variables:
Let 'e' represent a box of envelopes
Let 'p' represent a box of papers.
System of Equations:
3e + 4p = 13.25 ...........................(equ 1)
2e + 6p = 17 ...........................(equ 2)
[tex]\begin{gathered} (\text{equ 1) }\times-2\Rightarrow-6e\text{ -8p = -26.5 }\ldots\ldots..(equ\text{ 3)} \\ (\text{equ 2) }\times3\text{ }\Rightarrow\text{ 6e + 18p = 51 }\ldots\ldots\ldots\ldots..(equ\text{ 4)} \\ \text{ -----------} \\ \text{ 0 e + 10p = 24.5} \\ p\text{ = 2.45} \end{gathered}[/tex][tex]\begin{gathered} \text{Substitute the value of 'p' into (equ 1)} \\ 3e\text{ + 4p = 13.25} \\ 3e\text{ + 4(2.45) = 13.25} \\ 3e\text{ + 9.8 = 13.25} \\ 3e\text{ = 13.25 - 9.8} \\ 3e\text{ = 3.45} \\ e\text{ = }\frac{3.45}{3} \\ e\text{ = 1.15} \end{gathered}[/tex]Answer as a sentence
Hence, the cost of a box of envelopes is $1.15 and the cost of a box of paper is $2.45.
find 3 consecutive odd integers when the sum of the first and third integer is 26
Let's call the first odd number x.
The next odd number will be x + 2, and the last one will be x + 4.
If the sum of the first number and the last one is 26, we have that:
[tex]\begin{gathered} x+x+4=26 \\ 2x+4=26 \\ 2x=22 \\ x=\frac{22}{2}=11 \end{gathered}[/tex]So the numbers are:
[tex]\begin{gathered} x\to11 \\ x+2\to13 \\ x+4\to15 \end{gathered}[/tex]11, 13 and 15.
Suppose that h(x) varies inversely with x and h(x)=50 when x = 0. 25. What is h(x) when x = 2?.
If h(x) varies inversely with x , then the value of h(x) is 6.25 , when x = 2 .
In the question ,
it is given that ,
the function h(x) varies inversely with x ,
that means h(x) ∝ 1/x ,
to remove the proportionality sign , we write the constant of proportionality "k",
h(x) = k*(1/x)
given , that h(x)=50 when x = 0. 25
Substituting the values we get
50 = k*(1/0.25)
50 = k/0.25
k = 50×0.25
k = 12.5
So , the equation becomes
h(x) = 12.5/x
to find the value of h(x) when x = 2, we put x = 2 , in the equation ,
h(2) = 12.5/2
= 6.25
Therefore , If h(x) varies inversely with x , then the value of h(x) is 6.25 , when x = 2 .
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three runners start running simultaneously from the same point on a 500500-meter circular track. they each run clockwise around the course maintaining constant speeds of 4.4, 4.8,~\text{and}~5.04.4,4.8, and 5.0 meters per second. the runners stop once they are all together again somewhere on the circular course. how many seconds do the runners run?
the runners stop once they are all together again somewhere on the circular course. then the runners run (C) 2500$ seconds
first consider the first two runners . the faster runner will lap the slower runner exactly once or run 500 meters farther. let x be the time these runners run in seconds
4.8x - 4.4 x =500
x = 1250
because 4.4(1250) = 5500 is a multiple of 500 it turns out they just meet back at the start line
Now we must find a time that is a multiple of $1250$ and results in the 5.0 m/s runner to end up on the start line. Every $1250$ seconds, that fastest runner goes $5.0(1250)=6250$ meters. In $2(1250)=2500$ seconds, he goes $5.0(2500)=12500$ meters. Therefore the runners run (C) 2,500$ seconds.
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solveeeeeeeeeeeee for x
Answer:
7.5/3
Step-by-step explanation:
set AC and BD equal to eachother because they are equal and solve