Answer: Length of side QR is 16 units.
Step-by-step explanation: Given that dimensions of PQR
QPR= 90degrees
Nick walked 5 miles to reach his aunt's house. From there he traveled 8 miles to the shopping mall on a bicycle. He traveled 80% faster on the bicycle than on foot. Let r represent his rate of walking in miles per hour. Identify the expression that represents the number of hours Nick took to reach the shopping mall in terms of r. Then find the time taken by Nick to reach the shopping mall if he walked at an average speed of 3 miles per hour
The number of hours Nick took to reach the shopping mall in terms of r is ; 3.14 hours.
What is rate?Rate is a measure of a quantity using another quantity as the basis.
Analysis:
speed travelling on foot = r
distance travelled on foot = 5 miles
time taken = 5/r
speed travelling on bicycle 80 percent faster than on foot is 1.8r
distance travelled on bicycle = 8 miles
time taken = 8/1.8r = 40/9r
total time taken to get to the mall = 5/r + 40/9r = 85/9r
speed while walking = 3 miles per hour = r
time taken = 85/9 x 3 = 3.14 hours
In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14 hours.
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Answer:
3 hours 9 minutes
Could someone Help it’s a new topic
Answer:
So to do this you need a protactor and measure it with it, then add the total
Step-by-step explanation:
A geologist in South America discovers a bird skeleton that contains 43% of its original amount of C-14. K value
of C-14 is 0.0001
Find the age of the bird skeleton to the nearest year.
The age of the bird skeleton is 6539.
What is Exponent Function?An exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Here, N =[tex]N_{0}.e^{-0.0001t}[/tex]
= 52% N₀
[tex]e^{-0.0001t}[/tex] = 0.52
-0.0001 t = ln 0.52
t = -10000 ln 0.52
t = 6539
Thus, the age of the bird skeleton is 6539.
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Answer:
Step-by-step explanation:
Identify the fractions labeled with the letters a and b on the scale below
In the given fraction, we have the value of 1 divided in four portions and we just have to identify which portion does A and B fall into
FractionThis can be defined as a part of portion of a complete value.
In the first part, the portion A is representing 1 out of 5 parts. So, the fraction of A is
[tex]A = \frac{1}{5}[/tex]
In the second fraction B, we can say that B is representing 3 out of 5 parts.
[tex]B = \frac{3}{5}[/tex]
From the above, the value of A and B are
A = 1/5B = 3/5Learn more on fractions here;
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Given that a = 10 cm and b = 13 cm, work out the height of the triangle.
The Pythagorean theorem is also known as the Pythagoras' theorem. The height of the triangle is 12cm.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given a=10cm and b=13cm, therefore, the height of the triangle can be found using the Pythagoras theorem, therefore,
AB² = AD² + BD²
13² = AD² + 5²
169 = AD² + 25
AD = 12cm
Hence, the height of the triangle is 12cm.
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What is c value in the equation
Log 57.9/c=0.293
If a log has no base written, you should generally (in algebra classes) assume that the base is 10
we raise 10 to the power log 57.9/c = 57.9/c
and 10 to the power 0.293 = 1.9633602768
so 57.9/c = 1.96
c = 57.9 /1.96 = 29.5
Write the standard equation of the circle with center (-4,-4) and radius 6.8
Answer: [tex](x+4)^{2}+(y+4)^{2}=46.24[/tex]
Step-by-step explanation:
[tex](x+4)^{2}+(y+4)^{2}=6.8^{2} \\(x+4)^{2}+(y+4)^{2}=46.24[/tex]
Simplify the quotient 3-¹ ÷34
Answer:
[tex]\frac{1}{102}[/tex]
Step-by-step explanation:
1) Negative Power Rule: [tex]x}^{-a}=\frac{1}{{x}^{a}}[/tex].
[tex]\frac{1}{3}\div 34[/tex]
2) Use this rule: [tex]a\div \frac{b}{c}=a\times \frac{c}{b}[/tex].
[tex]\frac{1}{3}\times \frac{1}{34}[/tex]
3) Use this rule: [tex]\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}[/tex].
[tex]\frac{1\times 1}{3\times 34}[/tex]
4) Simplify [tex]1\times 1[/tex] to [tex]1[/tex].
[tex]\frac{1}{3\times 34}[/tex]
5) Simplify [tex]3\times 34[/tex] to [tex]102[/tex] .
[tex]\frac{1}{102}[/tex]
Which statement is true about the polynomial
5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified?
It has 3 terms and a degree of 9.
It has 3 terms and a degree of 10.
It has 4 terms and a degree of 9.
It has 4 terms and a degree of 10.
The polynomial 6st⁹ – 3s⁶t² – 6t⁷ has 3 terms and the degree of the polynomial is 10. Then the correct option is B.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients.
The polynomial is given below.
5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷
Then polynomial can be arranged as
⇒ 6st⁹ + 5s⁶t² – 8s⁶t² – 6t⁷
⇒ 6st⁹ – 3s⁶t² – 6t⁷
The polynomial 6st⁹ – 3s⁶t² – 6t⁷ has 3 terms and the degree of the polynomial is 10.
Then the correct option is B.
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Solve, using the substitution method.
x = 10
y = 2x – 6
(10, 14)
(10, 4)
(10, –4)
(10, –1)
Answer:
10/14
Step-by-step explanation:
substitute x in equation 2
y= 2(10) -6
y= 20 - 6
y= 14
substitute y in equation 2
14 = 2x - 6
-2x= -6-14
-2x= -20
divide both sides by -2
-20/-2
x= 10
y= 14, x= 10
In ΔIJK, the measure of ∠K=90°, KJ = 11, IK = 60, and JI = 61. What is the value of the cosine of ∠J to the nearest hundredth?
The sine of ∠I is represented by the ratio 63:65
First, let's draw the triangle (see the picture below.)
We need to use it here.
What are trigonometric ratios?-sin = opposite/hypotenuse
-cos = adjacent/hypotenuse
-tan = opposite/adjacent.
Assuming that ∠I is Ф,
we can see that its opposite side is equal to 63 and the hypotenuse is 65. Therefore,
[tex]sin(I)=\frac{63}{65} \\\\sinI=75^0[/tex]
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Answer:
0.18
Step-by-step explanation:
It’s right bc I got it correct with that answer
Mr. Apollo’s art class is designing tiles for a mosaic.
The class worked in groups, and each group selected a color and a set of shapes to use.
Match the shape names of all of the shapes in each group by dragging them to the correct color in the table.
Names may be used once, more than once, or not at all.
Set 1 has 4 blue rectangles, Set 2 has 4 red triangles, Set 3 has 4 green kites and Set 4 has 3 yellow trapezoids.
Rectangle returned to the choices list. Parallelogram
Rhombus
Square
Trapezoid
Rectangle
Triangle
Right Triangle
Isosceles Trapezoid
Obtuse Triangle
Blue
Red
Green
Yellow
To complete this task classify the shapes by considering both the color and the features of the shape.
How to classify a shape?Identify the shape. For example, a triangle has 3 sides and if one of the sides has a 90° angle, the triangle is a right triangle.Assign the name to the shape.Identify the color.Match the shape to set 1, 2 or 3. For example if the right triangle is red, this will belong to set 2.Note: This question is incomplete because the shapes are not given; due to this, the answer is based on general knowledge.
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Scan the n the questions
loading
165464775250023655713488
63
Answer:
what man we can barley see
Step-by-step explanation:
how to solve 52 divided by 4!
Draw and simplify the karnaugh maps of x,y,Z for (a)m0 +m1+ m5+m7. (b)F(1,3,5,4,7). (c)m0+m2+m4+m6. (d)F(0,2,4,6)
The simplified Karnaugh maps are F(A, B, C) = A’B’ + AC , F(A, B, C) = C + AB’, F(A, B, C) = C’.
What are Karnaugh Maps ?A Karnaugh map can be compared to a more advanced version of a truth table
In a K-map there are all the possible input variables and outcomes stored in cells.
It is a method to simplify and optimize Boolean expressions.
(a) m0 +m1+ m5+m7
Mapping the given function in a Karnaugh map,
The image is attached with the answer.
we can see two pairs
Pair-1 is m0 + m1
and Pair-2 is m5 + m7
= A’B’C’ + A’B’C + AB’C + ABC
= A’B’(C’ + C) + AC(B’ + B)
= A’B’ + AC
Therefore the simplified Boolean expression for the given data is
F(A, B, C) = A’B’ + AC.
(b) F(1,3,5,4,7)
On Mapping the given function in a Karnaugh map, we will see
1 Pair and 1 Quad
Pair is m4 + m5
Quad is m1 + m3 + m5 + m7
= A’B’C + A’BC + AB’C + ABC + AB’C’ + AB’C
= A’C(B’ + B) + AC(B’ + B) + AB’(C’ + C)
(B +B' ) = 1 , (C’ + C) = 1
= A’C + AC + AB’
= C(A’ + A) + AB’
= C + AB’
Therefore the simplified Boolean expression for the given data is
F(A, B, C) = C + AB’.
(c) m0+m2+m4+m6.
On Mapping the given function in a Karnaugh map, we will see
2 Pairs
Pair-1 is m0 + m4
Pair-2 is m2 + m6
= A’B’C’ + AB’C’ + A’BC’ + ABC’ = B’C’(A’ + A) + BC’(A’ + A)
= B’C’ + BC’
= C’(B’ + B)
= C’
Therefore the simplified Boolean expression for the given data is
F(A, B, C) = C’.
(d) (0,2,4,6)
It will have the same expression as that of Option (c)
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*100 points* A circle has a diameter with endpoints (-7, -1) and (-5, -9).
What is the equation of the circle?
Diameter
√(-7+5)²+(-1+9)²√2²+8²√4+64√682√17Radius
2√17/2√17unitsNow
Centre
(h,k)
(-7-5/2,-1-9/2)(-12/2,-10/2)(-6,-5)Equation
(x-h)²+(y-k)²=r²(x+6)²+(y+5)²=(√17)²(x+6)²+(y+5)²=17Option A
Answer:
Step-by-step explanation:
Consider the end points (-7,-1) and (-5,-9)
The center is the mid point between these two points.
The value of center is,
(h,k) = ((-7-5)/2, (-1-9)/2)
(h,k) = (-12/2,-10/2)
(h,k) = (-6, -5)
If the center (h,k) = (-6, -5) and radius is r then the equation of the circle is,
Equation of Circle,
((x-h)^2)+((y-k)^2) = r^2
((x+6)^2)+(y+5)^2 = r^2
Hence, the answer is ((x+6)^2)+(y+5)^2 = r^2.
Simplify the expression.
3.2a + 3.5b – 2.1a
Answer:
1.1a+3.5b
Step-by-step explanation:
Find the slope rise/run
Answer:
m = -1/3
Step-by-step explanation:
Find two points in order to calculate slope:
(0, 2) (3, 1)Slope (m) =
ΔY /ΔX= -1/ 3= -0.33333333333333
( ΔX = 3 – 0 = 3ΔY = 1 – 2 = -1 )Slope intercept:
y = -0.33333333333333x + 2
Answer:
Slope = - 1/3
Step-by-step explanation:
Choose the point on the right and move upwards. How many times did you move upwards until you were at the same level as the point on the left? You moved once, which means your rise is 1.
Now from the point where you are at now, move right or left depending on where the point is. In this case, it's on the left which means our run will be negative. Now move left until you reach that point on the left. How many times did you move left? You moved three times, which means your run is 3.
Rise/Run = -1/3
Slope = Rise/Run
Slope: - 1/3
hope this helps!! p.s. i really need brainliest :)
A. 10
B. 11
C. 12
D. 13
Answer:
D. 13
Step-by-step explanation:
13 is the answer I guess I hope it will be the right answer
PLEASE 100 POINTS AMD BRAINLIEST IF YOU ANSWER ALL
What does negative 3 over 5 > −2 indicate about the position of negative 3 over 5 and −2 on the number line?
A. negative 3 over 5 is located on the right of −2
B.negative 3 over 5 is located on the left of −2
C.negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0 D.negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0
Will mark Brainliest!
Answer: A. negative 3 over 5 is located on the right of −2
Step-by-step explanation:
On a number line, the greater numbers are to the right and the smaller numbers are to the left.
(-2p+7) (4p - 3) please help
Answer:
Step-by-step explanation:
-8p^2 + 6p + 28p - 21
-8p^2 + 34p - 21
Answer:
-8p² + 34p - 21
Step-by-step explanation:
(-2p + 7)(4p-3)
= -2p*4p -2p*-3 + 7*4p + 7*-3
= -8p² + 6p + 28p - 21
= -8p² + 34p - 21
what is the area of triangle ABC
Answer:
enter traverse Does the middle traverse indeed bisect the triangle?
Angles In the triangle ABC, the ratio of angles is: a:b = 4: 5. ...
Triangle P2 Can a triangle have two right angles?
Diagonal Can be a diagonal of diamond twice longer than it side?
Similarity coefficient The triangles ABC and A "B" C "are similar to the similarity coefficient 2. ...
That how u find the area
It wont always be easy, but always try to do what ' s right!
In a world of worriers, be the warrior!
When nothing goes right, go left.
Answer;
The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.
Determine whether each triangle with sides of given length is a right triangle. justify your answer
7 yd, 5 yd, 9 yd
10 ft, 24ft, 26 ft
The triangles with the side lengths 10 ft, 24ft, 26 ft, is a right triangle while a triangle with side lengths of 7 yd, 5 yd, 9 yd is NOT based on the Pythagorean theorem.
What is a Right Triangle?A triangle is said to be a triangle based on the Pythagorean theorem, if the square of the longest side equals the sum of the squares of the other smaller sides of the triangle.
9² = 7² + 5²
81 = 74 (NOT TRUE), therefore, the triangle with the side lengths 7 yd, 5 yd, 9 yd, is not a right triangle.
26² = 10² + 24²
676 = 676 (TRUE), therefore, the triangle with the side lengths 10 ft, 24ft, 26 ft, is a right triangle.
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Maya runs 4.5
miles more than Remy every week. Maya runs 18.35
miles per week. Which equation can be used to find the distance Remy runs every week, x?
Answer:
Remy runs 13.75 Miles Per Week
Step-by-step explanation:
X=18.35 - 4.5
Minh is packing books into
boxes. The mass of one of the boxes is 20 kilograms. If the box
holds 10 books that each have the same mass, what is the mass of
each book in grams?
The mass of each book in grams if each box weighs 20 kilograms is 2000 grams
Mass of each box = 20 kilogramsTotal books in the box = 10 booksConverting kilograms to grams1 kilograms = 1000 grams
20 kilograms = 20,000 grams
Mass of each book in grams = 20,000 grams / 10
= 2000 grams
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A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds?
s(t) = –4.9t2 + 39.2
s(t) = –4.9t2 + 39.2t
s(t) = –4.9t2 + 39.2t + 39.2
s(t) = –4.9t2 + 39.2t – 39.2
The quadratic equation that models the height of the rocket after t seconds is:
s(t) = -4.9t² + 39.2t.
What is the quadratic function for a projectile's height?Considering the height in meters, the equation is given by:
s(t) = -4.9t² + v(0)t + h(0)
In which:
v(0) is the initial velocity, in m/s.h(0) is the initial height, in m.In this problem, we have that v(0) = 39.2, h(0) = 0, hence the equation is:
s(t) = -4.9t² + 39.2t.
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Answer: B
Step-by-step explanation: on Edge (*^*)
Pls help. Answer the question in the picture. I will give 5 stars, a thanks, and brainliest!
*20 points*
Answer:
1/5x + 2
Step-by-step explanation:
hope this helps
Use the spinner shown to answer the question. Assume that it is equally probable that the pointer will land on any one of the colored regions. If the pointer lands on a borderline, spin again
If the spinner is spun once, find the probability that the pointer lands in a region that is red or blue.
D
The probability that the pointer lands in a region that is red or blue is
(Type an integer or a simplified fraction.)
The probability that the pointer lands in a region that is red or blue is 1/2
How to determine the probability?The spinner that completes the question is added as an attachment
From the attached spinner, we have:
Total section = 8Red or blue = 4The probability is then calcuated as:
P =Red or blue/Total section
This gives
P =4/8
Evaluate
P= 1/2
Hence, the probability that the pointer lands in a region that is red or blue is 1/2
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What does the expression n + 3 represent?
Answer:
Step-by-step explanation:
BASICALLY ANYTHING WITH 3