find the value of x y and z in the rhombus below
Answer:
x = y = 13, z = 18
Step-by-step explanation:
6x + 8 = 86
6x = 86 - 8 = 78, so x = 78/6 = 13
7y + 3 + 86 = 180
7y = 180 - 86 - 3 = 91
y = 91/7 = 13
5z + 4 + 86 = 180
5z = 180 - 86 - 4 = 90
z = 90/5 = 18
Convert 3 days into minutes.
Answer:
4320
Step-by-step explanation:
We need to multiply the time value by 1440, so 3 x 1440 = 4320.
I need some help with this math problem
Type the correct answer in the box. Use numerals instead of words.
An arc of circle M has a length of 32π centimeters and the corresponding central angle has a radian measure of 8/9π. What is the radius of the circle?
Answer:
36 cm
Step-by-step explanation:
arc length = r × θ
32π = r × 8/9π
r = 36
The radius of the circle is 36 centimeters when the arc length is 32 centimeters and the corresponding central angle is (8/9)π radians.
What is an arc of the circle?A circle's arc is defined as a portion or segment of its circumference.
How is the length of an arc calculated?The length of an arc, s. of a circle having a radius r, with the central angle θ, is given as s = rθ.
How to solve the question?In the question, we are given an arc of a circle having a length (s) = 32π centimeters, and the corresponding central angle (θ) = (8/9)π radians.
We are asked to find the radius (r) of the circle.
We know that the arc length is the product of the radius and the central angle, that is, s = rθ.
Following this, we can write:
32π = r(8/9)π,
or, r = (32π*9)/(8π) = 36.
Therefore, the radius of the circle is 36 centimeters.
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Trevor makes essential oil using 15 drops of rose oil for every 6 drops of lavender oil.
How many drops of lavender oil would Trevor need if he uses 5 drops of rose oil?
Answer:
Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Step-by-step explanation:
If 15/5 = 3
Then, all we have to do is 6/3=2.
So hence, Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Thanks
The Petrol tank of a car was full at the start of a Journey and contained 50 liters. After completing two thirds of the Journey tank contained 14 litres. The Car then took on 30 litres and then completed the Journey. At Constant consumption of petrol, what fraction of a tank remained at the end of the Journey?
Answer:
I'm sorry, but i cant give the whole answer. But every third of the trip the car loses 18 liters. So sorry i cants say full thing.
Step-by-step explanation:
Pls provide work to go along with the answer.
Answer:
47 degree
Step-by-step explanation:
23x - 5 + 37x +5 = 360
x = 6
The measure of the arc = 5x + 17 = 5 *6 +17 = 47 degree
(6.) The point A(-5,12) lies on the circle whose equation is x + y2 = 169. What is the secant of
an angle drawn in standard position whose terminal rays passes through A?
The secant of the angle through a point (-5, 3) is -13/5
Equation of a circleThe equation of a circle with center (0,0) is given by
x² + y² = r² where r = radius of circle
Now, comparing this to the equation of the given circle x² + y² = 169,
⇒ r² = 169
r = √169
r = 13
Secant of angle
The secant of the angle through a point (x, y) is secФ = r/x where
r = radius of circle and x = x-coordinate of pointNow for the point A(-5,12), x = -5.
Since r = 13
secФ = r/x
= 13/-5
= -13/5
So, The secant of the angle through a point (-5, 3) is -13/5
Learn more about secant of an angle here:
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Answer:
Step-by-step explanation:
16÷(2+1/2)^2 PLS HELP ME! WORTH 100 POINTS NEED ANSWER AS MIXED FRACTION
[tex]\\ \rm\Rrightarrow 16\div (2+1/2)^2[/tex]
[tex]\\ \rm\Rrightarrow 16\div(5/2)^2[/tex]
[tex]\\ \rm\Rrightarrow 16\div 25/4[/tex]
[tex]\\ \rm\Rrightarrow 16\div 4/25[/tex]
[tex]\\ \rm\Rrightarrow 64/25[/tex]
[tex]\\ \rm\Rrightarrow 2\dfrac{14}{25}[/tex]
Answer:
Step-by-step explanation:
16÷(2+1/2)^2
= 4^2÷(2+1/2)^2
= (4÷(2+1/2))^2
= (4÷(5/2))^2
= (4*2÷5)^2
= 64÷25
= 2 14/25
The perimeter of a rectangle is 45 inches. One side of the rectangle
is 5 inches. Find the area of the rectangle.
Answer: 17.5*5=87.5
Step-by-step explanation:
Factor the greatest common factor (GCF) from each polynomial. 16x^4+24x^3-8x^2+12x
Answer:
4x(4x^3+6x^2-2x+3)
Step-by-step explanation:
PLEAS GIVE THE APPROPRIATE ANSWERS
Answer:
Page 1 Answer: [tex]\frac{9}{5}[/tex]
Page 2 Answer: 175
Page 3 Answer: Alicia used 1.5 gallons to travel a distance of 37.5 miles.
Page 4 Answer: I think its 117 but I could be wrong...
Step-by-step explanation:
Page 1:
We just simplify [tex]\frac{36}{20}[/tex] by dividing and get 9/5
Page 2: Since they want to DOUBLE her amount in her savings, we double her current amount (125) and get 250 by adding.
Next, we subtract 125 from 300 in her checking and get 175.
Page 3:
We use the titles so solve the graph.
Answer:
Step-by-step explanation:
Expression 1:
b) [tex]\frac{36}{20} =\frac{36/4}{20/4}=\frac{9}{5}[/tex]
Gabrielle:
$125 * 2 = $250
300 - 125 = $175
c) $175 will be her new checking account balance.
Alicia:
d) Alicia used 1.5 gallons to travel a distance of 37.5 miles.
Kenneth:
Area of a triangle: A = 1/2*b*h (base = 6, height = 6)
A = 1/2 * 6 * 6
A = 1/2 * 36
A = 18 square inches
Since there are two triangles, it would be 18 * 2 = 36 square inches
Area of a rectangle: A = l*w (length = 9, width = 9)
A = 9 * 9
A = 81 square inches
Add the two areas together:
b) 36 + 81 = 117 square inches
Hope this helps!
Nadia is selling tickets for a school event. She has already sold 17 tickets. Her goal is to sell at least 100 tickets. Each day she is able to sell up to 10 tickets. What is the minimum number of days Nadia will need to sell tickets to reach her goal?
Answer:
9 days is neeeded for Nadia to reach her goal
Help fast I’ll give Brainlyest
Answer:
47 or 50 will be your answer, my apologies if it's wrong
Step-by-step explanation:
Measure 5 (property taxes) Ballot Measure 5, an initiative passed by Oregon voters in November 1990, fundamentally changed Oregon’s property tax and public school funding systems. Voter approval of Measure 5, and of Measure 47 in 1996 and Measure 50 in 1997, demonstrated the great force of anti-tax fervor in that decade.
PLEASE HELP ME ITS DUE ON SUNDAY NIGHT
Answer:
Each side will measure 15.5 cm.
hello help me with this question thanks in advance
[tex]\bold{\huge{\underline{ Solution\: C }}}[/tex]
Part 5 :-Here,
Two non parallel lines are intersected by three parallel lines .These three parallel lines are also parallel to each other.By using basic proportionality theorem
It states that the line which is parallel to one side of triangle intersects the other two sides then the other two sides are divided in the same ratios. That is,[tex]\sf{\dfrac{ x }{ x + 16 }}{\sf{=}}{\sf{\dfrac{9}{12 + 9}}}[/tex]
By cross multiplication ,
[tex]\sf{ 21x = 9( x + 16)}[/tex]
[tex]\sf{ 21x = 9x + 144}[/tex]
[tex]\sf{ 21x - 9x = 144}[/tex]
[tex]\sf{ 12x = 144}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]
[tex]\bold{ x = 12}[/tex]
Hence, The value of x is 12
Part 6 :-Here also ,
Two non parallel lines are intersected by three parallel lines .These three parallel lines are also parallel to each other.By using basic proportionality theorem :-
[tex]\sf{\dfrac{ 4 }{ 4 + 10 }}{\sf{=}}{\sf{\dfrac{6}{x +6}}}[/tex]
[tex]\sf{\dfrac{ 4 }{ 14 }}{\sf{=}}{\sf{\dfrac{6}{x +6}}}[/tex]
By cross multiplication ,
[tex]\sf{ 4(x + 6) = 6 {\times} 14}[/tex]
[tex]\sf{ 4x + 24 = 84}[/tex]
[tex]\sf{ 4x = 84 - 24}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 60}{4}}}[/tex]
[tex]\bold{ x = 15}[/tex]
Hence, The value of x is 15 .
[tex]\bold{\huge{\underline{ Solution\: D }}}[/tex]
Part 7 :-Here,
Here, JL bisects Angle J in ΔHJK It means Angle JHL = Angle JKLThe length of HJ = 12 , JK = 15 , HL = 18 Therefore,In triangle JHL and In triangle JKL
By using similarity theorem
It states that if the two triangles are similar then the corresponding sides of triangle are in proportion and corresponding angles are equal That is,[tex]\sf{\dfrac{ JH }{ JK}}{\sf{=}}{\sf{\dfrac{HL}{KL}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 12 }{ 15 }}{\sf{=}}{\sf{\dfrac{18}{KL}}}[/tex]
By cross multiplication
[tex]\sf{ 12( KL) = 18 {\times} 15}[/tex]
[tex]\sf{ 12(KL) = 270}[/tex]
[tex]\sf{ KL = }{\sf{\dfrac{ 270}{12}}}[/tex]
[tex]\bold{ KL = 22.5 }[/tex]
Hence, The length of KL is 22.5
Part 8 :-Here also,
Here, JL bisects Angle J in ΔHJK It means Angle JHL = Angle JKLThe length of KL = 6 , JK = 20 , HJ = 14Therefore,In triangle JHL and In triangle JKL
By using similarity theorem :-
[tex]\sf{\dfrac{ JH }{ JK}}{\sf{=}}{\sf{\dfrac{HL}{KL}}}[/tex]
Subsitute the required values,
[tex]\sf{\dfrac{ 14 }{ 20}}{\sf{=}}{\sf{\dfrac{HL}{6}}}[/tex]
[tex]\sf{\dfrac{ 7 }{ 10}}{\sf{=}}{\sf{\dfrac{HL}{6}}}[/tex]
[tex]\sf{\dfrac{ 7 }{ 10}}{\sf{{\times} 6= HL }}[/tex]
[tex]\sf{\dfrac{ 7 }{ 5 }}{\sf{{\times} 3 = HL }}[/tex]
[tex]\sf{\dfrac{ 21 }{ 5}}{\sf{ = HL }}[/tex]
[tex]\bold{ HL = 4.2 }[/tex]
Hence, The length of HL is 4.2 .
The area of a rectangular school yard is 3,195 square meters. The perimeter is 232 meters. What are the dimensions of the school yard?
Answer:
71 m x 45 m
Step-by-step explanation:
Length = x, Width = y
x * y = 3,195
2(x + y) = 232, so
x + y = 232/2 = 116, they y = 116 - x
x * (116 - x) = 3,195
116x - x² = 3,195
x² - 116x +[tex]x = \frac{116\pm\sqrt{116^2-4*3195}}{2}[/tex] = 71, 45
so x = 71, y = 45
please math help
graphing an integer function and finding its range for a given domain
Answer:
{-3, -1, 1, 3}
Step-by-step explanation:
The range is the set of function values corresponding to the values in the domain. They are generally sorted into numerical order.
range = {-3, -1, 1, 3}
__
Each value is found by evaluating the function at the domain value:
f(-1) = 1 -2(-1) = 3
f(0) = 1 -0 = 1
f(1) = 1 -2(1) = -1
f(2) = 1 -2(2) = -3
Marcus is 48 inches tall. If Marcus is 2/3 of his
older brother's height, how tall is his older brother?
Answer:
48=2/3
48×3÷2= Marcus older brother height
72 inches
The value of y varies inversely with x, and y = 12 when x = -4. Find y when x = -2
f(x) = 3x + 6. Find the inverse of f(x).
Answer:
[tex]\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]
Step-by-step explanation:
We're given,
[tex]\tt f(x) = 3x + 6[/tex]
~
[tex]\tt y=3x+6[/tex]
[tex]\tt x=3y+6[/tex]
[tex]\tt x-6=3y[/tex]
[tex]\tt y=\cfrac{x-6}{3}[/tex]
[tex]\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]
~
URMOEMIANSDASDUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Answer:
Get some sleep...
Step-by-step explanation:
Please helppppp asap
8
Find the mZYXZ.
Please help!!
Answer:
Step-by-step explanation:
SEE EXAMPLE p. 323 Find each measure. 3. NA 4. XZ. ... Find each measure. 3. NA 4. XZ 10.2 5. NZ 5.6 M M 7. mZYXZ 6. m LMN 8. mZXLM N 29° Z ...
Please help me solve this
Answer:
Step-by-step explanation:
[g . h[(x) = -8(2x + 3) = -16x - 24
[h . g](x) = 2(-8x) + 3 = -16x + 3
Please I need more help
Identify the y Intercept the parabola
A(t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. At = 3200(1/2) t/14 Find the initial amount in the sample and the amount remaining after 60 hours. Round your answers to the nearest gram as necessary.
Just calculator work
Step-by-step explanation:
MARK ME AS A BRAINLISTTwo parallel lines were cut by a transversal. Which of the following scenarios is NOT a possible result?
Question 1 options:
A a pair of supplementary angles with measures of 105° and 75°
B a pair of alternate exterior angles with measures of 72° and 72°
C a pair of corresponding angles with measures of 30° and 30°
D a pair of same side interior angles with measures of 50° and 50°
Answer:
Option DStep-by-step explanation:
The first three options are correct.
The last option is incorrect as same side interior angles are supplementary, so they should sum to 180° but in the given option their sum is 100°.
Answer:
D
Step-by-step explanation:
Smae side interior angles are supplementary i.e they have sum 180°
If one is 50°
Then other one must be 180-50=130°
compare, using subtraction and division, the amount of sugar used in two recipes, if Recipe 1 used two and two thirds (2 2/3) cups and Recipe 2 used one and a half (1 1/2) cups. Show your calculations and then write your answers as sentences.
Answer:
Recipe 1 used [tex]1\frac{7}{9}[/tex] times as many cups and [tex]1\frac{1}{6}[/tex] more cups than Recipe 2.
Step-by-step explanation:
By subtraction:
2 [tex]\frac{2}{3}[/tex] - 1 [tex]\frac{1}{2}[/tex]
[tex]\frac{8}{3}[/tex] - [tex]\frac{3}{2}[/tex]
[tex]\frac{8*2}{3*2}[/tex] - [tex]\frac{3*3}{2*3}[/tex]
[tex]\frac{16}{6}-\frac{9}{6} = \frac{7}{6} =1\frac{1}{6}[/tex] cups more
By division:
2 [tex]\frac{2}{3}[/tex] / 1 [tex]\frac{1}{2}[/tex]
[tex]\frac{8}{3}[/tex] / [tex]\frac{3}{2}[/tex]
[tex]\frac{8}{3}[/tex] * [tex]\frac{2}{3}[/tex]
[tex]\frac{8*2}{3*3}=\frac{16}{9} =1\frac{7}{9}[/tex] times as many cups more