Answer:
17 1/2
Step-by-step explanation:
Help me please! It’s timed
Answer:
x=36.08
Step-by-step explanation:
Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]
DF=55
and DE= x
To find the value of x
According to trigonometry rule,
[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]
Therefore, the value of x will be 36.08
The president of a small company
made $72,000 last year. She cut her
salary this year to $60,000 because
the company was not doing as well.
What was the percent decrease in
her salary to the nearest percent?
Answer:
17%
Step-by-step explanation:
Percent decrease
[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]
Susan and Katie are running an ultra marathon. Susan averages 5 miles per hour. Katie averages 5.2
miles per hour. If Susan gets a 45 minute head start, then exactly how many hours after Katie begins
running will she catch up to Susan?
Answer:
Katie will catch up to Susan after running 33.4 h.
Step-by-step explanation:
We can find the time that takes Katie to catch up to Susan by using the following equation:
[tex] x_{f_{k}} = x_{0_{k}} + v_{0_{k}}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f_{k}} [/tex]: is the final position of Katie
[tex] x_{0_{k}} [/tex]: is the initial position of Katie = 0
[tex] v_{0_{k}}[/tex]: is the initial speed of Katie = 5.2 mi/h
a: is the acceleration = 0 (she is moving at constant speed)
t: is the time
Since Katie will catch up to Susan, the final distance traveled by Katie will be equal to the final distance traveled by Susan.
[tex] x_{f_{s}} = x_{0_{s}} + v_{0_{s}}t + \frac{1}{2}at^{2} [/tex]
[tex] x_{0_{k}} + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Since Susan gets a 45 minutes head start, in that time she traveled the following distance:
[tex] d = \frac{v}{t} = \frac{5 mi/h}{45 min*\frac{1 h}{60 min}} = 6.67 mi [/tex]
So, this will be the initial position of Susan.
[tex] 0 + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Hence, the time will be:
[tex] 5.2t = 6.67 + 5t [/tex]
[tex] t = 33.4 h [/tex]
Therefore, Katie will catch up to Susan after running 33.4 h.
I hope it helps you!
Simplify using suitable property. Also name the property used:-3/5 x 4/7 + 8/5x 4/7
Answer:
The answer is 4/7 and the property used is the distributive property
Step-by-step explanation:
Recall from the distributive property;
a * (b + c) = ab + ac
Applying same here, we have it that;
4/7 (-3/5 + 8/5)
= 4/7 * ((-3 + 8)/5)
= 4/7 * 5/5
= 4/7 * 1 = 4/7
What is the sum of the polynomials below ? 3y^5-2y+8 2y^5 - 4y^3-7
Answer:
[tex](3 {y}^{5} - 2y + 8) + (2 {y}^{5} - {4y}^{3} - 7) \\ = 5 {y}^{5} - 4 {y}^{3} - 2y + 1[/tex]
whats the value of x? 8(-6 + 6x) = 240
Answer:
x = 6
Step-by-step explanation:
8(-6 + 6x) = 240
Distribute the 8
-48 + 48x = 240
Add 48 to both sides
48x = 288
Divide both sides by 48
x = 6
At the dance shoe store, they sell Tap, Point, and Ballet shoes. A pair of point shoes are double the price of ballet shoes. The tap shoes are $10 more than ballet shoes. If the total price of all the shoes is $648, how much is each shoe
Answer:
a pair of Tap shoes costs $169.50
a pair of Point shoes costs $319.00
a pair of Ballet shoes costs $159.50
Step-by-step explanation:
first tell your teacher, that the problem description is misleading.
as a shoe store has more than one pair per type. so, "all the shoes" would mean all the sites in the store. but that is for sure not meant here.
what your teacher hopefully meant was that the total price of buying one pair of each of the shoe types is $648.
and your teacher was hopefully asking for the price of pairs of shoes, and not actually single shoes.
my solution bases on these assumptions.
so, we got Tap (t), Point (p) and Ballet (b) shoes.
buying one pair each is
t + p + b = 648
now we know some other information.
p = 2×b (Point shoes are double the price of Ballet shoes)
t = b + 10 (Tap $10 more than Ballet)
so, we can replace t and p by expressions of b and get
b + 10 + 2×b + b = 648
4×b + 10 = 648
4×b = 638
b = 159.50
p = 2×159.50 = 319.00
t = 159.50 + 10 = 169.50
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?
We are given these three people age below:
Jim's ageCarla's ageTomy's ageWe define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
Jim's age = xNext, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Carla's age = x+5Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
Tomy's age = 6+(x+5)The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]
Combine like terms and solve for x.
[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]
Then we substitute the value of x in ages to find these three people ages.
Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.Answer
Jim's age = 5Carla's age = 10Tomy's age = 16express 81 as sum of odd numbers.
Step-by-step explanation:
[tex]1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17[/tex]
Solution all the odd no. show sum is 81see attachment :)) I've been stuck on this question forever... I do not understand how they got 2r^2-60r-45=0. I know the formula for the area of the circle is r^2 pi... but still... Can someone answer the question with explanation?
Answer:
2r² - 60r - 45 = 0
Step-by-step explanation:
Hang on this is going to be convoluted
------------------------------
Area of pond
a = πr²
Area of path
a = πr²/10
Combined Area
a = πr² + πr²/10
a = π(r² + r²/10)
---------------------------
The Combined Area can also be expressed as
a = π(r + 1.5)²
a = π(r² + 3r + 2.25)
-----------------------------
Set the areas equal
π(r² + r²/10) = π(r² + 3r + 2.25)
Divide both sides by π
r² + r²/10 = r² + 3r + 2.25
Subtract r² from both sides
r²/10 = 3r + 2.25
Multiply both sides by 20
2r² = 60r + 45
Subtract 60r + 45 from both sides
2r² - 60r - 45 = 0
The candy shop puts 10 ounces of gummy bears in each box. How many
boxes do they need to fill if there are 21 ¼ pounds of gummy bears?
Which number is rational?
Answer:
Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number
Hope this helps!
Which of the following is the definition of the sine ratio in a right triangle
Answer:
Oppositeleg
adjacenleg
Answer:
option 1
Step-by-step explanation:
Just remember this to get the trigonometric ratio in a right triangle :
Old Henry And His Old Aunt
O for opposite
H for hypotenuse
A for Adjacent
Sin = O/ H
Cos = A /H
Tan = O /A
A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40
Answer:
c y=1/2x+40
because it's positive (up). /
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?
Joseph is correct because only a line will increase along the whole data set. The scatterplot will have a positive, linear association.
Joseph is correct because only a line will decrease along the whole data set. The scatterplot will have a negative, linear association.
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.
Answer: Choice C
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
======================================================
Explanation:
Just because the data points trend upward (as you go from left to right), it does not mean the data is linearly associated.
Consider a parabola that goes uphill, or an exponential curve that does the same. Both are nonlinear. If we have points close to or on these nonlinear curves, then we consider the scatterplot to have nonlinear association.
Also, you could have points randomly scattered about that don't fit either of those two functions, or any elementary math function your teacher has discussed so far, and yet the points could trend upward. If the points are not close to the same straight line, then we don't have linear association.
-----------------
In short, if the points all fall on the same line or close to it, then we have linear association. Otherwise, we have nonlinear association of some kind.
Joseph's claim that an increasing trend is not enough evidence to conclude the scatterplot is linear or not.
Answer:
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?
A) Joseph is correct because only a line will increase along the whole data set. The scatterplot will have a positive, linear association.
B) Joseph is correct because only a line will decrease along the whole data set. The scatterplot will have a negative, linear association.
C) Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatter plot could be linear or nonlinear.
D) Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.
Step-by-step explanation:
I got it right on ed.
(its C/3 btw)
Choose the attributes that are true for all quadrilaterals.
four angles
four right angles
four sides
opposite sides equal in length
opposite sides parallel
Answer:
four angles
four sides
Step-by-step explanation:
Amber and Ruben play a game with one 6-sided die. Ruben gets a point if he rolls a prime number. Amber gets a point if she rolls a number that is a factor of 6. Is this game fair? Explain.
Answer:
Explain what?
Step-by-step explanation:
maths anwsers for this
Answer:
the area would be 15 if you use are equals 1/2 base times height
PLEASE I REALLY NEED HELP
Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a math classroom. If the vertices of a science classroom are located at (-3x¹,y¹). (-3x²,y²), (-3x³, y³), and (-3x⁴, y⁴), will the science classroom be congruent to the math classroom?
The lengths of the horizontal sides of the science class is larger than the
length of the horizontal side of the math class.
The correct option is; No, the the transformation applied was not a rigid motion.
Reasons:
The given vertices of the science classroom are;
(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)
The coordinates of the vertices math classroom are;
(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)
Whereby x₁ = x₄, we have;
Length of the vertical side of the rectangular math class = y₁ - y₄
Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁
Similarly;
The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)
Therefore;
[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]
The length of a side of the science is three times the length of the side of
the math class, which gives that the dimensions of the science class are not
the same as the the dimensions of the math class.
Therefore;
The science class and the math class are not congruent
The the correct option is, no the transformation that gives the science class from the math class is not a rigid transformation.Learn more about non-rigid transformation here:
https://brainly.com/question/2396426
Determine the general rule for the sequence 19;11;3;.....
Answer:
Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23
Step-by-step explanation:
Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula.
Answer:
[tex]a_{n}[/tex] = 27 - 8n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 19 = 3 - 11 = - 8
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 19 and d = - 8 , then
[tex]a_{n}[/tex] = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule
I’ll mark brinaliest if the answe is correct. I need those two answers that are blank
Answer:
blue marbles: 4/15
red marbles: 8/15
Step-by-step explanation:
add all the marbles together then put how many marbles in front as the numerator.
consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x
I didn’t mean to click C but yea I need help
Answer:
C.
Step-by-step explanation:
It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.
which of the following is the slope of a line perpendicular to the line y = -2/3 x +5
Answer:
-2/3x is the slope
Step-by-step explanation:
y=mx+b is the equation to follow
Solve the following equation for x.
18 – 4.x = 10 - 2x
A x = -4
B) x = -1
C) x = 1
D) x =4
Answer:
D) x = 4
Step-by-step explanation:
18 - 4x = 10 - 2x
10 - 2x = 18 - 4x
10 - 2x + 4x = 18 - 4x + 4x
10 + 2x = 18
10 - 10 + 2x = 18 - 10
2x = 8
2x ÷ 2 = 8 ÷ 2
x = 4
A circle P is circumscribed about a regular hexagon ABCDEF
Arc AB =
Select one:
a. 60
b. 120
c. not enough information
d. 90
Answer:
angle degrees is 60
so the answer would be A
Step-by-step explanation:
because there are 6 sides, 360 is divided by 6.
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x + 5)2 + 2
g(x) = (x + 2)2 + 5
g(x) = (x – 2)2 + 5
g(x) = (x – 5)2 + 2
Answer:
D
Step-by-step explanation:
g(x) = (x+4)^2 +6
Factories the following expression correctly 8x2 +4x
Answer:
4x(2x+1)
Step-by-step explanation:
8x^2+4x
x(8x+4)
4x(2x+1)
Answer:
4x(2x + 1)
Step-by-step explanation:
8x² + 4x
4(2x² + x)
4x(2x + 1)
PLEASE HELP How can you make different triangles with the same angle measures?
Form different triangles with angle measures 90°, 75°, and 15°
How can you make different triangles with the same angle measures?
O A. Make triangles with the same angle measures and the same side lengths
OB. It is not possible to make different triangles with the same angle measures.
OC. Make triangles with the same angle measures but different side lengths
OD. Make triangles with the same side lengths but different angle measures
I have 2 more days to live what to do :(
Answer:
I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.