Answer:
[tex]h=6[/tex]
[tex]k=2.5[/tex]
[tex]m=\sqrt{21}[/tex]
[tex]n=3\sqrt{10}[/tex]
[tex]p=\sqrt{17}[/tex]
Step-by-step explanation:
We can use the Pythagorean Theorem in each case.
Pythagorean Theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Where [tex]a[/tex] and [tex]b[/tex] are two sides of a right-angle triangle and [tex]c[/tex] is Hypotenuse (the longest side opposite to the right angle)
For [tex]h[/tex]:
[tex]h^{2} +8^{2} =10^{2}[/tex]
[tex]h^{2} +64=100[/tex]
Subtract 64 from both sides:
[tex]h^{2} =100-64[/tex]
[tex]h^{2} =36\\[/tex]
[tex]h=\sqrt{36}[/tex]
[tex]h=6[/tex]
We follow the same process to find [tex]k,m,n[/tex] and [tex]p[/tex].
Matthew is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Matthew's test score (out of 40) if he got 9 questions wrong? What would be his score if he got xx questions wrong?
Answer:
22 points
Step-by-step explanation:
If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!
Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.
Answer:
10% = 0.1 x 400 = 40
400 - 40 = 360$
leni can decorate the room in 4 hours. her sister lucy do the same jobin 3 hours working together, how long will take them to finish the job
Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]
Where:
x = Numerator
y = Denominator.
It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To solve the above question, we would be applying the operations of the addition of fractions.
From the question,
Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.
Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/4 + 1/3
Lowest Common Denominator for (3, 4 ) = 12
Hence,
1/T = 3 + 4 / 12
1/T = 7/12
Find the reciprocal of both sides
T = 7/12 hours or can be expressed in decimals as 0.583 hours.
Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To learn more, visit the link below;
https://brainly.com/question/13652749
Can someone pls help me out
Answer:
option a. similar;AA similarity; triangle plm
x/3+10=15 pls help me
the Answer is...:
X=195
Answer: X is 15
Step-by-step explanation:
Multiply both sides with 3
(x/3) + (10 x 3) = 15 x 3
x + 30 = 45
Add - 30 to both sides
x + 30 - 30 = 45 - 30
x = 15
Hope this helps!
please check the picture!!
find the indefinite integral of:
Answer:
x = 23
Step-by-step explanation:
what is the ratio of 0.75 decimal
find the value of x PLEASE HELP i’m so lost
x = -5 + 5√3
Step-by-step explanation:
A = ℓ × w
50 = (x + 10) × x
50 = x² + 10x
x² + 10x - 50 = 0
a = 1b = 10c = -50x = [-b ± √(b² - 4ac)] / 2a
x = [-10 ± √(10² - 4(1)(-50))] / 2(1)
x = [-10 ± √(100 - (-200))]/2
x = [-10 ± √300]/2
x = [-10 ± 10√3]/2
x = [-5 ± 5√3]
because x is a unit of length, it is positive
x = -5 + 5√3
Pls answer ASAP timed assignment
Answer:
C) Point B is a reflection of point A along the Y-Axis
Step-by-step explanation:
I plotted it on a graph, and it turned out to be an exact mirror reflection.
Hope This Helped!
answer po plss plss plss
Answer:
[tex]( 3) - ( 4) + ( 18) + (6) - (5)[/tex]
[tex] (3+18+6)+(-4-5)[/tex]
[tex]( 27) + (-9)[/tex]
[tex] 18[/tex]
(3x + 2) to the power of 2(i didnt know how to put that on keybored)
[tex](3x)^{2} +2*3x*2+2^{2} \\3^{2} x^{2} +2*3x*2*2^{2} \\9x^{2} +2*3x*2+2^{2} \\9x^{2} +2*3x*2+4\\9x^{2} x^{2} +12x+4[/tex]
Enter an equation in point-slope form for the line.
Slope is -4 and (1,9) is on the line.
The equation of the line in point slope form is:
Answer: (y-9) = -4(x-1)
Step-by-step explanation: The format of a point-slope line is y − y1 = m(x − x1), where x1 and y1 are a known point on a line with slope m. Given slope of -4 and a point of (1,9):
(y − y1) = m(x − x1)
(y − 9) = -4(x − 1)
This can be rearranged to the standard form: y = -4x+13
What is 1/10=4/5y ?????
Answer:
y = 1/8
Step-by-step explanation:
Divide both sides by 4/5, 1/10 divided by 4/5; 4/5y divided by 4/5. In 4/5y divided by 4/5, the two 4/5s cancels out, leaving y alone. 1/10 divided by 4/5 equals to 1/8. Now you have, 1/8 = y, which is the same thing as y = 1/8. Therefore, the value of y is 1/8.
Answer: 1/8
Step-by-step explanation:
4/5y=1/10
*multiply both sides by 5, and you'll get
4y=1/2
*divide both sides by 4
y=1/8
What is 97 divided by 80257
what is the degree of polynomial ? f(x)=(x+6) (x_3) power of 2
Answer:
the degree = 4
Step-by-step explanation:
[(x+6)(x-3)]²
= x⁴+6x³-27x²-108x+324
Find the unit rate. Round to the nearest hundredth, if necessary,
$2.99 for 15 lb
The unit rate is $
Иb.
Answer:
$0.20/lb
Step-by-step explanation:
2.99/15 = 199333
.20/lb
this question is bothering me help
Answer:
the First, third, and fifth
Step-by-step explanation:
Since one half of 12 is 6, then those three expressions will be the same since they have the same answer
i need answer for this problem
Answer:
(Reflect across the line y = x then reflect across the y axis then translate 2 units in left and 5 units
down) that's the answer
Step-by-step explanation:
Hope it helps
state the gradient and the y-axis intercept of
y=3x+7
Step-by-step explanation:
the slope (or gradient) of a line is the factor of x.
in our case here : 3
it is expressed as ratio y/x and represents the amount of units y changes (and via the sign in what direction), when x changes a certain amount of units (again, via the sign in what direction). like when going from a point 1 to a point 2.
so, here we have 3 = 3/1, and that means, when x changes by 1 unit to the right (positive), y changes 3 units up (positive).
the y-axis intercept is simply the point, where x = 0. clearly, any point with the x coordinate being unequal to 0 cannot be on the y axis.
so, here
y = 3×0 + 7 = 7
=>
the y-axis intercept point is (0, 7).
Can someone help me do this
y=2x =2 and y2= 4x+4
Answer:
x=−2
y=−4
y² =−2
Step-by-step explanation:
Im going to assume youre saying to compare the two
if so, then theyre the same equation/line
2y =4x +4 is the same y = 2x + 2 since 2y = 4x + 4 is just y=2x+2 but everything is multiplied by 2
hope this helps :)
convert 11/15 to a repeating decimal
Answer: 11/15 as a decimal is 0.73333333333333.
Step-by-step explanation:
Hello me please!!! I don't understand this question and it's due tonight!!!!
Зу + 4х = 12
Graph the equation using the x coordinates -2, -1, 0, 1, 2
Answer:
3y+4x=12
when x is -2
3y+ 4(-2)=12
3y-8=12
3y=20
y=20/3=6.67
when x is -1
3y-4=12
3y=16
y=16/3=5.33
when x is 0
3y-0=12
3y=12
y=4
when x is 1
3y+ 4 =12
3y =8
y=8/3=2.67
when x is 2
3y +8 =12
3y=4
y=4/3=1.33
En un aeropuerto dos aviones A1 y A1 se acercan para aterrizar, si la ecuación de la trayectoria del primero es -x+2y-100=0, mientras que la ecuación de la trayectoria del segundo es de –x+200 +2y, determina si existe el riesgo de que sufran un choque entre ellos.
No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.
-------------------------
La trayectoria del primero es:
[tex]-x + 2y - 100 = 0[/tex]
[tex]x_1 = 2y - 100[/tex]
Para el segundo, tiene-se que:
[tex]-x + 200 + 2y = 0[/tex]
[tex]x_2 = 2y + 200[/tex]
Igualando los valores de x:
[tex]x_1 = x_2[/tex]
[tex]2y - 100 = 2y + 200[/tex]
[tex]0y = 300[/tex]
No hay solución en la que ambas trayectorias estén en la misma posición, puesto que no existe el riesgo de que sufran un choque entre ellos.
Un problema similar es dado en https://brainly.com/question/24653364
Which benchmark fraction is 6/7 closest to PLZ HELP
x is directly proportional to y. When y = 7, x = 28. Write and equation of x in terms of y. Find x when y = 15.
Answer:
60
Step-by-step explanation:
28 : 7 : : x : 15
28 / 7 = x / 15
4 = x / 15
x = 4 * 15
x = 60
HELP PLEASEEEE ASAP !
Answer:
x = 57
Step-by-step explanation:
x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel
x = 57
Can you help me please.
Answer:
can you take a better photo?
Step-by-step explanation:
Full view of the picture please
11=-5x-2 plzzzzzzzzzz help...
Answer:
-5x-2=11
+2
-5x=9
÷-5
x=1.8
Step-by-step explanation:
Answer:
x = -2.6
or x=-2 and 3/5
Step-by-step explanation:
Simplifying
11 = -5x + -2
Reorder the terms:
11 = -2 + -5x
Solving
11 = -2 + -5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x' to each side of the equation.
11 + 5x = -2 + -5x + 5x
Combine like terms: -5x + 5x = 0
11 + 5x = -2 + 0
11 + 5x = -2
Add '-11' to each side of the equation.
11 + -11 + 5x = -2 + -11
Combine like terms: 11 + -11 = 0
0 + 5x = -2 + -11
5x = -2 + -11
Combine like terms: -2 + -11 = -13
5x = -13
Divide each side by '5'.
x = -2.6
Simplifying
x = -2.6
Divide
-3 1/3 divide 9
Quick
Answer:
-0.37 repeating
Step-by-step explanation:
PLS mark Brainliest