Answer:
3.2 ft
Step-by-step explanation:
the only thing you need to know is that congruent means that all the side and the same and the shape can be flipped and still look the same so the measure of the line segment is 3.2ft
Answer:
3.2 ft
Step-by-step explanation:
The answer above is correct.
Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body processes 5% of the caffeine every hour, how much will be left in 8 hours? A.74 B.72 C.56 D.73
Answer:C
Step-by-step explanation:
There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner?
The required ways of the combination to display the flowers on the dinner is 20.
There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner to determiined.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Examples of permutation and combination, Managing people, numbers, numerals, alphabets, letters , and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.
Since, the total number of flower in vases is 6
3 of them to be selected for the dinner table tonight.
The combination is given as.
= C( 6 , 3)
= 6!/3!(6 - 3)!
= 6!/3!3!
= 20
Thus, the required ways of combination to display the flowers on dinner is 20.
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On a certain map, 3 inches represents 15 miles. Briarwood and Middletown are 5 inches apart on the map. What is the actual distance between Briarwood and Middletown? A. 25 mi B. 30 mi C. 50 mi D. 75 mi
Answer:
i think the answer is a. 25
Find the total cost, to the nearest cent, for a sweater that costs $22.95 with an additional 5.5% sales tax. Show your work.
Answer:
22.95×1.055≈$24.21
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) reflect triangle a across the y-axis and then translate triangle a 5 units down. B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin.
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin
The triangle is shifted 4 units downwards and then is rotated about the origin.
What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size 3 shape of the figure stays exactly the same.Given are triangles A and B.
Transformation 1 : The triangle is shifted 4 units downwards.
Transformation 2 : The figure is rotated about the origin.
Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.
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Which statement is true? A. Point estimates are used to make inferences about population parameters. B. When we use the population mean and proportion to summarize information about the entire population, we call them point estimates. C. The population mean and proportion are always equal to their corresponding point estimates. D. The sample mean and sample proportion of a population are called population parameters. Reset
Answer:
the answer is d
Step-by-step explanation:
cause its d
Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?
Answer:
errror
Step-by-step explanation:
pls help...1.The given right rectangular prism is composed of small cubes. Find the following is the volume of the prism and the volume of one of the small cubes.
Answer:
1. 1.3778 2. 0.0089
Step-by-step explanation:
to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.
so 1x0.83x1.66= 1.3778
you can always convert the fraction into decimal to help you calculate the problem.
i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.
it is 5 by 10 so there are 150 cubes in total.
1.3378 divided by 150=0.0089
im confident about the 1st but not so much with the second
The volume of the rectangular prism is: 1.39 ft³
The volume of one of the small cubes is: 0.0046 ft³
What is the Volume of a Rectangular Prism?Volume of rectangular prism = length × width × height
Given the following:
Length = 1 ft
Width = 5/6 ft
Height = 1⅔ ft
Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3
Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³
Length of the edge of 1 cube = 1/6 ft
Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³
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A store pays $10 for each shirt it buys. The store sells each shirt for 60%
more. What is the price of a shirt at the store?
Answer:
16$ per shirt
Step-by-step explanation:
60% of 10 is 6
10 + 6 = 16
1. Move the slider to choose a scale
factor greater than 1. Where is point
P"?
What is the y-intercept of the function f(x) = -2/9x+1/3
Answer:
The y-intercept is 1/3.
Step-by-step explanation:
The equation given is in slope-intercept form. Recall that in slope-intercept form:
[tex]f(x)=mx+b[/tex]
m is the slope while b is the y-intercept.
Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.
A state highway department uses a salt storage enclosure that is in the shape of a cone, as shown above. If the volume of the storage enclosure is 48π m3, then what is the diameter of the base of the cone, in meters?
Answer:
Diameter of the base of the cone = 8 meters
Step-by-step explanation:
State highway department uses a salt storage enclosure which is in the shape of a cone.
Height of the storage in conical shape = 9 meters
Volume of the storage = 48π m³
Let the radius of this conical storage = r meters
Formula to get the volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
Here 'r' is the radius of the base of the cone and 'h' is the height of the cone.
Therefore, Volume = [tex]\frac{1}{3}(\pi ) r^{2}(9)[/tex]
[tex]48\pi=3\pi r^{2}[/tex]
r² = [tex]\frac{48\pi }{3\pi }[/tex]
r = [tex]\sqrt{16}[/tex]
r = 4 meters
Since, diameter = 2r
= 2(4)
= 8 meters
Therefore, diameter of the base of the cone = 8 metres
On the number line below, P represents a number. What is the value of the opposite of that number? A number line from negative 4 to positive 4 in increments of 1 over 4, with all whole numbers alone labeled is shown. Put point P at the fifth tick mark to the right of 0. negative 2 and 2 over 4 negative 1 and 1 over 4 1 and 1 over 4 2 and 2 over 4
Answer:
[tex]-1\frac{1}{4}[/tex]
option 2
Step-by-step explanation:
In this number line, each interval equals 1/4.
P represents 1 1/4
So, opposite of number P is ( [tex]-1\frac{1}{4}[/tex] )
Question: 4 x 1 2/5 Answer with a mixed number in simplest form!
Answer:
[tex]5\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]
Answer:
[tex]\boxed{ 5\frac{3}{5}}[/tex]
Step-by-step explanation:
[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]
[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]
[tex]\displaystyle 4 \times \frac{7}{5}[/tex]
[tex]\sf Multiply.[/tex]
[tex]\displaystyle \frac{28}{5}[/tex]
[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]
[tex]\displaystyle 5\frac{3}{5}[/tex]
PLEASE HELP ASAP WILL GIVE BRAINLY!!!!!!Some of the steps in the derivation of the quadratic formula are shown:
Step 3: –c + StartFraction b squared Over 4 a EndFraction = a(x squared + StartFraction b Over a EndFraction x + StartFraction b squared Over 4 a squared EndFraction)
Step 4a: –c + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared
Step 4b: negative StartFraction 4 a c Over 4 a EndFraction + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared
Which best explains or justifies Step 4b?
factoring a polynomial
multiplication property of equality
converting to a common denominator
addition property of equality
.
Answer:
i think it is the third one but dont know just an educational geuss
Step-by-step explanation:
The given steps from the derivation of the quadratic formula are:
Step 3: [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]
Step 4a: [tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 4b: [tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
The property "converting to a common denominator" justifies step 4b. So, option C: "converting to a common denominator" is correct.
What is the quadratic formula?The quadratic formula is as follows:
x = [-b ± (√b²+4ac)]/2a
This formula is derived from the quadratic equation [tex]ax^2+bx+c=0[/tex].
What are the steps to derive the quadratic formula?The standard quadratic equation is [tex]ax^2+bx+c=0[/tex]
Step 1: [tex]ax^2+bx=-c[/tex]
Step 2: Taking 'a' as common
[tex]a(x^2+\frac{b}{a}x)=-c[/tex]
Step 3: Adding [tex]\frac{b^2}{4a}[/tex] on both sides
[tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x)+\frac{b^2}{4a}[/tex]
⇒ [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]
Step 4a: Factoring the polynomial
[tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 4b: Converting to a common denominator
[tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]
⇒ [tex]\frac{(-4ac+b^2)}{4a}=a(x+\frac{b}{2a})^2[/tex]
Step 5: Applying square root (on one side there is a square, so, on the other side it gets ±)
⇒ [tex]\frac{(-4ac+b^2)}{4a^2}=(x+\frac{b}{2a})^2[/tex]
⇒ ±[tex]\sqrt{\frac{(-4ac+b^2)}{4a^2}} =(x+\frac{b}{2a})[/tex]
⇒ [tex]x+\frac{b}{2a}[/tex] = ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]
step 6: Subtacting [tex]\frac{b}{2a}[/tex] from both the sides
⇒ [tex]x=-\frac{b}{2a}[/tex] ± [tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]
⇒ x = [-b ± (√b²+4ac)]/2a
Thus, step 4b best explains or justifies the property "Converting to a common denominator".
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(CAN SOMEONE PLEASE EXPLAIN JUSTIFICATION) Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria. No Common Tangents Diagram: Justification:
Answer:
To justify a solution, students will need to be able to use appropriate mathematical language to give reasons for the particular approach used to solve a problem. Any time that a student produces a 'solution' in an attempt to solve a problem, that 'solution' needs to be justified.
Step-by-step explanation:
A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks
35m is the answer to the problom
Answer:
the correct answer is 13
Step-by-step explanation:
i got it correct on the test, hope this helps:)) !
Find the value of y and x.
Answer:
x = 130°y = 65°Step-by-step explanation:
All inscribed angles intercepting the same arc have the same measure.
If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:
y = 65°.
The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.
x = 130°.
Help plz and explain if possible
Answer:
d
Step-by-step explanation:
Find the slope of the line.
4/3
-4/3
-3/4
3/4
Answer:
-3/4
Step-by-step explanation:
slope is rise over run so you go down 3 first is is -3, and then right 4 times which means the slope is -3/4
Solve the equation using the multiplication property of equality and the reciprocal of 1 4 . 1 4 ( r − 5 2 ) = 1 8
Answer: I dont know if this is right but the is 8 Ive never done this before.
Step-by-step explanation:
1 =
4 =
1 =
4 =
r− 5 ⋅ 2 = 1 = r = 11
8 = r = 11
7/13 + 1/5 (its in fractions)
Answer:
48 ÷ 65
Step-by-step explanation:
hope it helps you
Answer:
[tex]\frac{48}{65}[/tex]
Step-by-step explanation:
Step 1: Find LCM for denominators
13(5) = 65
So we need to convert our fractions to add them
Step 2: Convert [tex]\frac{7}{13}[/tex] by multiplying both top-bottom by 5
[tex]\frac{7}{13} (\frac{5}{5} ) = \frac{35}{65}[/tex]
Step 3: Convert [tex]\frac{1}{5}[/tex] by multiplying both top-bottom by 13
[tex]\frac{1}{5} (\frac{13}{13} ) = \frac{13}{65}[/tex]
Step 4: Add the converted fractions
[tex]\frac{13}{65} +\frac{35}{65} =\frac{48}{65}[/tex]
And we have our answer!
7. Assume two people, Swanson and Suzie, are standing 35 feet apart and are watching a boat
race. At a given moment, Swanson approximates the angle formed by the lead boat, himself, and
Suzie to be 30°. Suzie approximates the angle formed by the lead boat, herself, and Swanson to be
130. How far is the boat from Swanson?
130°
30"
35 feet
Swanson
Suzie
Part I: What is the missing angle in this triangle? (1 point)
Part II: Use the law of sines to find the distance from Swanson to the boat. (2 points)
Answer:
78.4 ft
Step-by-step explanation:
Part I:
Missing angle = 180° - (130 + 30) (sum of angles in a triangle)
= 180° - 160°
Missing angle = 20°
Part II: distance (d) from Swanson to the boat
Law of Sines is given as:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]
Where,
a = d
A = 130°
b = 35 ft
B = 20°
Plug in the values and solve for d
[tex] \frac{d}{sin(130)} = \frac{35}{sin(20)} [/tex]
Multiply both sides by sin(130) to make d the subject of the formula
[tex] \frac{d}{sin(130)}*sin(130) = \frac{35}{sin(20)}*sin(130) [/tex]
[tex] d = \frac{35*sin(130)}{sin(20)} [/tex]
[tex] d = 78.4 ft [/tex]
The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
184
Step-by-step explanation:
What will I get for this 16 + x = 12
Answer:
x = -4
Step-by-step explanation:
16 + x = 12
16 - 16 + x = 12 - 16
x = -4
Someone pls help me . Thank you sm
━━━━━━━☆☆━━━━━━━
▹ Answer
X = 24
m = 13/7 or about 1.86
▹ Step-by-Step Explanation
X/3 + 7 = 15
X + 3 * 7/3 = 15
X + 21/3 = 15
X = 24
3.5m - 1.5 = 5
35/10m - 15/10 = 5
5 * 7/2 * 5m - 3 * 5/2 * 5 = 5
m = 13/7 or about 1.86
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.
Answer:
1.4a > 5+a
Step-by-step explanation:
If the number is increased by 40% of that number, then it multiplies by 1.4. So, the left side of the equation is 1.4a.
On the right side of the equation, if the number is increased by 5, then the equation is a + 5.
Since the left side of the equation is more than the right side of the equation, we add a greater than sign. So the expression is 1.4a > 5+a
find the value of a answers: a:15 b:14 c:19 d:16
Answer:
6a+10= 3a+55
6a-3a= 55-10
3a= 45
a= 45/3
a= 15
The answer is (A) 15
Hope this helps^°^
Answer:
A. 15
Step-by-step explanation:
The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.
[tex]6a+10=3a+55[/tex]
Now, solve for a. We must get a by itself on one side of the equation.
First, subtract 3a from both sides of the equation.
[tex]6a-3a+10=3a-3a+55[/tex]
[tex](6a-3a)+10=55[/tex]
[tex]3a+10=55[/tex]
Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.
[tex]3a+10-10=55-10[/tex]
[tex]3a=55-10[/tex]
[tex]3a=45[/tex]
3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3
[tex]3a/3=45/3[/tex]
[tex]a=45/3[/tex]
[tex]a=15[/tex]
The value of a is 15 and choice A is correct.
Someone pls help me i forgot how to do this . Thank you sm !!
Answer:
1.x=-5 2.t=1/2 3.x=20
Step-by-step explanation:
all simple algebra first and second is simple subtraction
the third involves division as well
Answer:
Here are the answers:
1) -5
2) 1/2
3) 20
Hope I helped)))
Pls mark brainliest
What are all of the real roots of the following polynomial? f(x) = x^4 - x^3 - 13x^2 + x + 12
a) -1 and 1
b) -3, -1, 1, and 3
c) -3 and 3
d) -3, -1, 1, and 4
Answer:
1,-1,4,-3 so D
Step-by-step explanation:
0 = x^4 - x^3 -13x^2 + x + 12
x = 1,-1,4,-3
The final answer is -3,-1,1 and 4
What is the relation between roots and the biquadratic equation?The biquadratic equation is of the form ax⁴+bx³+cx²+dx+e and hence
The sum of roots is -b/a, the sum of the product of two roots is c/a, the sum of the product of three roots is -d/a, and the product of all four roots is e/a.
Solving the given problemThere is no specific method of solving a biquadratic equation, hence we use the trial and error method and also some form of the root.
So finding f(1) = 1-1-13+1+12 = 0 hence 1 is a root.
finding f(-1) = 1-(-1)-13-1+12 = 0 hence -1 is also a root.
So let other roots be p,q
Now we can use sum of roots formula which is p+q+1-1= 1, hence p+q=1
product of roots p*q*1*-1=12, pq= -12 substituting p = -12/q
-12/q+q = 1, multiplying q on both sides
q²-12=q, q²-q-12=0, q²-4q+3q-12 = 0, q(q-4q)+3(q-4)=0
(q-4)(q+3) = 0 hence the roots are 4,-3 also
Hence 1,-1,4, and -3 are the roots of the equation.
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