Find the value of x in the triangle shown below.227ASCAssChoose 1 answer:MY= 45Col= 9MY= 5ProProD2 = 53Tea
Answers
The given triangle is a right triangle as shown by the square symbol inside. With this, we can solve the length "x" of this triangle using the Pythagorean Theorem.
[tex]c^2=a^2+b^2[/tex]where c = length of the hypotenuse and "a" and "b" are any of the remaining sides.
In our triangle, we have 7 as our hypotenuse and 2 as the length of the one side. Let's apply these values in the formula above.
[tex]\begin{gathered} 7^2=2^2+b^2 \\ 49=4+b^2 \\ 49-4=4+b^2-4 \\ 45=b^2 \\ \sqrt[]{45}=\sqrt[]{b^2} \\ \sqrt[]{45}=b \\ 3\sqrt[]{5}=b \end{gathered}[/tex]Therefore, the value of x is √45.
Related Questions
I need to know the answer to the question please help me
Answers
Answer:
The height of the triangle is 3 inches.
Explanation:
Given:
[tex]\begin{gathered} \text{Base of the triangle}=3\frac{2}{5}\text{ inches} \\ \text{Area of the triangle}=5\frac{1}{10}\text{ inches} \end{gathered}[/tex]We change the mixed fractions to improper fractions below:
[tex]\begin{gathered} \text{Base of the triangle}=3\frac{2}{5}=\frac{(5\times3)+2}{5}=\frac{17}{5}\text{ inches} \\ \text{Area of the triangle}=5\frac{1}{10}=\frac{(10\times5)+1}{10}=\frac{51}{10}\text{ inches} \end{gathered}[/tex]We want to find the height of the triangle.
Recall that the area of a triangle is calculated using the formula below.
[tex]\text{Area}=\frac{1}{2}\times\text{Base}\times Height[/tex]Substitute the given values:
[tex]\frac{51}{10}=\frac{1}{2}\times\frac{17}{5}\times\text{Height}[/tex]Multiply the numerators and denominators on the right side of the equation.
[tex]\begin{gathered} \frac{51}{10}=\frac{1\times17}{2\times5}\times\text{Height} \\ \frac{51}{10}=\frac{17\times\text{Height}}{10} \end{gathered}[/tex]Multiply both sides by 10.
[tex]\begin{gathered} \frac{51}{10}\times10=\frac{17\times\text{Height}}{10}\times10 \\ \implies51=17\times\text{Height} \end{gathered}[/tex]To solve for the height, divide both sides by 17.
[tex]\begin{gathered} \frac{51}{17}=\frac{17\times\text{Height}}{17} \\ 3=\text{Height} \\ \text{Height = 3 inches} \end{gathered}[/tex]The height of the triangle is 3 inches.
The distance-time graphs below represent the motion of a car. Match the descriptions with the graphs. Explain your answers
5. the car is stopped
6.the car is traveling at a constant speed
7. the speed of the car is decreasing
8. The car is coming back
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The given speed time graphs represents the outline of the speed of the car with time.
The correct options are;
Graph E matches the description of the car is stopped, because it consists of an horizontal line at a pro on the x–axis
Graph F matches the description the speed of the car is decreasing because graph E is a straight line graph that slopes downward from left to right
Graph G matches the description, The car is traveling at a constant speed because the graph remains the same as the time increases
Graph H matches the description of the car the car stoped because the location of the graph is on the x-axis
Graph F represent matches the description of the car speeding up
What is a speed time graph?A speed time graph is one that shows the variation of speed with time for an object.
The given graphs in the question are speed time graphs such that we have;
5. When the car stops, the speed is zero, and the graph consists of an horizontal line (showing that the zero speed (stopping) is constant over a period of time) that is located on the x–axis, where the y–axis value is zero.
Graph H matches the description of the car is stopped because the graph consists of an horizontal line located on the x–axis
Graph
6. When the car is in motion, and the speed is constant, the graph will consist of an horizontal line at the specified speed. The horizontal line at the speed indicates that the speed is not changing.
Graph G matches the description of the car is traveling at a constant speed because the graph consists of a horizontal line at a positive y–value larger than zero or above the x–axis
7. When the speed of the car is decreasing, it means that as the time increases from left to right, the speed is decreasing simultaneously, which is given by a graph of a straight line that slopes downward as the time increases from left to right
Graph E matches the description of the speed of the car is decreasing because the graph consists of a straight line graph that slopes from left to right.
8. The graph of a car coming back is given by a graph that has negative y–values, such that the line of the graph is in Quadrant IV
A graph that matches car coming back will be located below the horizontal x–axis
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A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount
Answers
For given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.
As given in the question,
Let 'h' hours be the time when service two companies to charge the same amount
A1 plumbing service company;
Charges $35 per hour plus a $25 travel charge for a service call
Equation:
y=25 + 35h
Good guys plumbing repair company :
Charges $40 per hour for a service call with no travel charge
Equation:
y=40h
Time when service two companies to charge same amount
25 +35h = 40h
⇒40h -35h=25
⇒5h=25
⇒h=25/5
=5hours
Therefore, for given charges of plumbing service charges of two companies , the time of service two companies to charge the same amount is equal to 5 hours.
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A caterpillar eats
1400
%
1400%1400, percent of its birth mass in one day. The caterpillar's birth mass is
m
mm grams.
Answers
If a caterpillar eats 1400% percent of its birth mass in one day. The caterpillar's birth mass is 14m grams.
How to find the birth mass in grams?Given data:
Birth mass in one day = 1400%
Hence, we need to formulate an equation and then use the formulated equation to find or determine the caterpillar's birth mass in m grams
1400 / 100m
Now let find the birth mass in m grams using the equation
1400/100m
= 14m grams
Therefore we can conclude that 14m grams is the birth mass.
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Answer: 14m and 1400/100
Step-by-step explanation: just do it !!
--Multiplying Polynomials--Use the given formulas to express the volume of each object as a polynomial.
Answers
32.
V = L*w*h
Where:
V= Volume
L= Length = x+5
w= width = x-2
h= height = 6
Replacing with the values given:
V= (x+5) * (x-2) * 6
V =[ (x*x) + (x*-2) + (5*X) +5*-2) ] * 6
V= [ x^2 - 2x + 5x - 10 ] * 6
V= [ x^2 + 3x - 10] *6
V= (x^2*6) + (3x*6)+ ( - 10 * 6)
V= 6x^2 + 18x - 60
About 1% of 7900 commuters carpool to work. Find the number of commuters who carpool
Answers
Data
number of commuters = 7900
percent needed = 1%
Rule of three
7900 ------------------------ 100%
x
I don’t know what the first step is to solve this problem, so I need help :)
Answers
We have to find the first step to solve the equality:
[tex]\frac{2x-5}{2}=-18[/tex]As the quotient is blocking us from substracting an adding to solve the equation, the first step is to remove the denominator by multiplying both sides by 2.
Then we would get:
[tex]\begin{gathered} \frac{2x-5}{2}\cdot2=-18\cdot2 \\ 2x-5=-36 \end{gathered}[/tex]And we can continue to solve the equality.
Answer: Option B. Multiply by 2 on both sides.
Solve the following using substitution: 3X = 6Y -44X + 3Y = -1
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We need to solve the system:
[tex]\begin{gathered} 3x=6y-4 \\ 4x+3y=-1 \end{gathered}[/tex]The first step is to isolate one of the variables and replace it at the other equation. We will isolate the "x" variable on the first equation:
[tex]x=\frac{6y}{3}-\frac{4}{3}[/tex]Then we replace this value on the second equation:
[tex]\begin{gathered} 4\cdot(\frac{6y}{3}-\frac{4}{3})+3y=-1 \\ \frac{24y}{3}-\frac{16}{3}+3y=-1 \\ \frac{24y-16+9y}{3}=-1 \\ 33y-16=-3 \\ 33y=-3+16 \\ 33y=13 \\ y=\frac{13}{33} \end{gathered}[/tex]We can use this value to determine x.
[tex]\begin{gathered} x=\frac{6\cdot\frac{13}{33}}{3}-\frac{4}{3} \\ x=\frac{\frac{78-132}{33}}{3}=\frac{\frac{-54}{33}}{3}=\frac{-54}{99}=\frac{-18}{33}=\frac{-6}{11} \end{gathered}[/tex]The solution to the system is (-6/11, 13/33)
write the equation y-4=1/3(x+6) in slope intercept form.
Answers
Given the equation:
[tex]y-4=\frac{1}{3}(x+6)[/tex]to write it in slope intercepept form, we have to solve for y the expression.
In this case, we have the following:
[tex]\begin{gathered} y-4=\frac{1}{3}(x+6)=\frac{1}{3}x+\frac{6}{3}=\frac{1}{3}x+2 \\ \Rightarrow y=\frac{1}{3}x+2+4=\frac{1}{3}x+6 \\ y=\frac{1}{3}x+6 \end{gathered}[/tex]thus, the equation in slope intercept form i s y = 1/3x+6
There are 50,000 adults living in Grand City. In examining attitudes toward the news, a research group asked a random sample of Grand City adults "What is
your main source of news?" The results are shown below.
Main Source
of News
Newspapers
Internet
Television
Radio
Other
Number of
Adults
68
90
201
25
41
Based on the sample, predict the number of adults in Grand City whose main source of news is newspapers. Round your answer to the nearest whole number.
Do not round any intermediate calculations.
Answers
In linear equation, 10,550 is your main source of news.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an indeterminate variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Proportion of adults when main source of news on the internet
= [tex]\frac{No, of adults with internet of the main source of news}{total mo of samples}[/tex]
= 90/68+90+201+25+41
= 90/425 ⇒ 0.211
No. of adults in grand city whose main source of news is the internet
= Proportion × total population of grand city
= 0.211 × 50,000
= 10,550
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Name: Date: 4) The capacity of a bathtub is 297 liters. The capacity of a sink is 9 liters. How many sinks of water will fill the bathtub? A 2,673 B 30 o 33 There are 354 milliliters of soda in each can
Answers
To get the number of sinks that would be needed to fill the bathtub, divide the total capacity of the bathtub by the capacity of one sink:
[tex]297\div9=33[/tex]This way, 33 sinks would be needed to fill the bathtub.
Answer: Option C
Solve 757 ÷ 104 = ________. Use how the placement of the decimal point changes when divided by a power of 10 to help you.
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It is important to note that 757 ÷ 104 using the placement of decimal point changes when divided by a power of 10 is not feasible. I believe you may be referring to 757 ÷ 10⁴ the answer therefore, is 0.0757. See explanation below.
How is the placement of decimal used to achieve the answer above?Suppose, as earlier indicated, the question is 757 ÷ 10⁴; that is
757 ÷ (10 x 10 x 10 x 10)
= 757 ÷ 10,000
Using the placement of decimal, we now by the number of zeros that the decimal point will move leftwards of 757 four times.
Note, that the decimal point is moving left because this is a division. In the case of a multiplication, the decimal point of a real number will move to the right.
Hence,
757 ÷ 10000
= 0.0757
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what happened when you had a positive minus a negative, a-(-b)?what happened when you had a negative minus a negative (-a)-(-b)?
Answers
Your First question says what happens when you have a positive value minus a negative value.
Let the positive value be a and the negative value be - b
a - (- b) = a + b
Note
[tex]-\text{ }\times\text{ - = +}[/tex]The second question says what happens when we have a negative value minus a negative value.
-a - (-b) = -a + b
Note
[tex]\begin{gathered} -\text{ }\times\text{ + = - } \\ +\text{ }\times\text{ + = +} \\ -\text{ }\times\text{ - = +} \end{gathered}[/tex]
Please someone help me.
Answers
A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides
The trapezoid KLMN and PQRS are similar:
Then [tex]\frac{KN}{PS}[/tex] = [tex]\frac{NM}{RS}[/tex]
= > 6/12 = 5/RS
=> RS = 2* 5 = 10.
What is the trapezoid shape?A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides. A trapezium's parallel sides are known as the bases, and its non-parallel sides are known as the legs. A trapezium can have parallel legs as well.A trapezoid is a quadrilateral with one or more parallel sides. Because a square always has two pairs of parallel sides, every square is also a trapezoid. In contrast, only a few trapezoids are squares.A trapezoid is a quadrilateral with one or more parallel sides. Because a square always has two pairs of parallel sides, every square is also a trapezoid. In contrast, only a few trapezoids are squares.To learn more about : trapezoid
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Which system(s) of equations has no solutions?
3x - 2y = 2, 6x + 4y = 4
2x - 2y = 4, x + 2y = 2
2x - 2y = -2, x + 2y = 2
3x - 2y = 1, - 6x + 4y = -2
Answers
Equation 3x - 2y = 1, -6x + 4y = -2 has no solution.
What is condition of no solution?We are aware that a line's general equation is ax+by+c=0.
where a, b, and c are known to be constants and x and y are the variables.
px + qy + r = 0 and ux + vy + w = 0 are the lines to be drawn.
If two lines are parallel to one another, there is no solution for those two lines.
Because the lines are parallel to one another, their slopes are also equal.
The equation for the provided set of general lines has the following mathematical representation: p/u = q/v ≠ r/w and m1 = m2.
3x - 2y = 2, 6x + 4y = 4
3/6 ≠ -2/4, Dose not satisfy the condition of no solution.
2x - 2y = 4, x +2y = 2
2/1 ≠ -2/2, Dose not satisfy the condition of no solution.
2x - 2y = -2, x + 2y =2
2/1 ≠ -2/2, Dose not satisfy the condition of no solution.
3x - 2y = 1, -6x +4y = -2,
3/-6 = -2/4 , satisfy the equation of no solution.
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a line crosses the coordinates (-3,5) and (2,-5). what is the slope of the line?
Answers
The line passes through 2 points given:
[tex]\begin{gathered} (x_1,y_1)=(-3,5) \\ \text{and} \\ (x_2,y_2)=(2,-5) \end{gathered}[/tex]We can find the slope using the slope formula shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Substituting the points into the formula:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-5-5}{2--3}=\frac{-10}{5} \\ m=-2 \end{gathered}[/tex]The slope of the line shown in the figure is:
-2Are You Ready? Review mapla 2 Graph the paint (44,3 coordinate mid Eumpla 1 Graph the paint 0 -Dan the сонгаіnаtе рrd. Starting at the man, manunt: tn the nidit and 2 unile dern Lb the pale 20 Staring at the origin, m. and 1 unit up la
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1) Let's plot those points, keeping in mind the first coordinate is on the x-axis, and the second on y:
Then we have A= (2,3) , B = (-4,-1), C= (3,-2) and D=(-2,-1). Notice that the first coordinate refers to the x-axis, and the second one to the y-axis.
a car drives 230 miles on 8.2 gallons of gas how many miles does this car get
Answers
Answer:
Thats nice
Step-by-step explanation:
Area of sector is to _______________ as arc measure is to 360 degrees.Area of sector is to _______________ as arc measure is to 360 degrees.choice;semicirclecircle areacircumference of circlediameter
Answers
Answer:
Circle area
Explanation:
The arc measure is a part of the complete measure of the circle, which is 360 degrees. In the same way, the area of the sector is a part of the area of the complete circle.
Therefore, the answer is
Circle area
The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.Step 1[original equation]:x2 + 8x + y2 − 6y = 11Step 2[group like terms]:(x2 + 8x) + (y2 − 6y) = 11Step 3[complete the square]:Which of the following is the correct equation for Step 3?
Answers
Solution
We want to complete the square of
[tex](x^2+8x)+(y^2-6y)=11[/tex]Firstly, let us look at how to complete a square.
Consider the illustration below
[tex]\begin{gathered} To\text{ complete the square of }(x^2+8x) \\ Add\text{ \lparen}\frac{8}{2})^2\text{ to both sides of the equation} \\ That\text{ is 4}^2=16 \end{gathered}[/tex][tex]\begin{gathered} To\text{ complete the sqaure of y}^2-6y,\text{ } \\ Add\text{ \lparen}\frac{-6}{2})^2=(-3)^2=9\text{ to both sides of the equation} \end{gathered}[/tex]Thus, we have
[tex](x^2+8x+16)+(y^2-6y+9)=11+_16+9[/tex][tex]\begin{gathered} The\text{ answer is } \\ (x^2+8x+16)+(y^2-6y+9)=11+16+9 \end{gathered}[/tex]Which is the graph of the function f(x) = x3 + x2 + x + 1?
Answers
Answer:
Step-by-step explanation:
Clues to recognize the graph:
-The graph will cross from the first quadrant into the third quadrant.
-The graphs of cubed equations are looking like an S shape.
-The graph must cross at y = 1 because when x is zero y is 1
If x=0 in our equation y= x^3 + x^2 + x + 1 will be y=1
-The graph must have a zero at x= -1 because if we rewrite the equation
y= x^3 + x^2 + x + 1 = (x+1)(x²+1) and here we see that one of the roots or zeros is (x+1) = 0, x= -1
Answer: D. on Edge 2023
Step-by-step explanation:
I took the test
I need help with classifying if it's a function or not
Answers
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair
For a standard normal variable , compute p(z<1.5)
Answers
Answer:
P(Z < 1.5) = 0.9331927987
A construction crew is below ground working on a foundation for a new apartment building.
They are currently 41 feet below street level, but the final building will be 503 feet tall.
Assuming they can build 34 more feet per week, w, how many weeks will it take them to finish?
The following equation represents the situation: −41+34w=503
Answers
Use algebra tiles to model each polynomial. Then draw a diagram of your model.[tex] { - 2x }^{2} [/tex]
Answers
We will have 2 tiles, let us draw them
The US Postal rates for a first-class letter are$0.46 for up to and including 1 ounce$0.66 for 1 to 2 including 2 ounces$0.86 for 2 to 3 including 3 ounces$1.06 for 3 to 3.5 including 3.5 ouncesa. What kind of a function is this?b. What is the cost for a letter weighing 2.01 ounces?
Answers
Answer: The function Indicated is a piecewise function, and the price for the 2.01 ounces is as follows:
[tex]P(2.01oz)=\$0.86[/tex]Is y= -5x^2 +4x+12 minimum or maximum?
Answers
As the coefficient of x^2 is negative, we get that the parabola opens down. So the vertex is a maximum
One number is five more than another and their sum Is 13 find the numbers
Answers
The expression 3,500 (1 +0.028) 4trepresents the amount of money in a savings account,where interest compounds quarterly, after t years since the account was opened. What does(1+0.028) represent?
Answers
5/7 - 3/5 = what? I'm don't know what is .
Answers
Answer: 4/35
Step-by-step explanation: First you need to make the fraction denominators the same so we are going to do multiply 7 x 5 which equals 35 if you don't know your multiplication you can always skip count by 5's so now since we changed the denominators the numerators need to be changes also so the new equation will be 25/35 - 21/35 that equals 4/35 and the fraction cannot be simplified because 1 is the only common divisor
Answer:
4/35
Step-by-step explanation:
Used a calculator and did the math problem in paper
5/7 - 3/5 = 4/35
