Answer:
Kindly check explanation
Step-by-step explanation: A ratio which compares a whole coin collection to a part of it would be expressed in such a way that, the numerator will be the part of the coin which is being compared and the denominator being the value of the entire coin. Mathematically, It could be expressed in proportion form as ;
(Part or amount of the coin which is being compared / total value of entire coin)
A / B such that;
A = value or amount of coin which is being compared.
B = value of the entire coin.
Or in the form
A : B
part of coin being compared : blue of entire coins
In the figure given below, ∠DBC=90° and ∠DBE is one-third of ∠ABE. What is the measure of ∠CBE?
Answer:
∠DBE=1/3∠ABE ---> ∠DBE/ ∠ABE=1/3---->∠DBE/(∠DBE+∠ABE)=1/1+3
∠DBE=1/4 x 90=18 ----> ∠CBE=90 + 22.5=112.5
Step-by-step explanation:
Answer:
112.5°
Step-by-step explanation:
[tex] m\angle DBC = 90\degree.... (given) \\
m\angle DBE = \frac{1}{3}m\angle ABE.... (given) \\
m\angle ABE + m\angle DBE +m\angle DBC= 180\degree\\.. (straight \: line \: \angle 's) \\
m\angle ABE + \frac{1}{3}m\angle ABE +90\degree= 180\degree\\
\bigg(1+ \frac{1}{3}\bigg) m\angle ABE = 180\degree - 90\degree \\
\bigg(\frac{3+1}{3}\bigg) m\angle ABE = 90\degree \\
\frac{4}{3} m\angle ABE = 90\degree \\
m\angle ABE = 90\degree \times \frac{3}{4}\\
m\angle ABE = \frac{270\degree}{4}\\
\huge\red {\boxed {m\angle ABE = 67.5\degree}} \\
\therefore m\angle DBE = \frac{1}{3}\times 67.5\degree \\
\huge \purple {\boxed {\therefore m\angle DBE = 22.5\degree}} \\
m\angle CBE = m\angle CBD + m\angle DBE\\
\therefore m\angle CBE = 90\degree + 22.5\degree\\
\huge \orange {\boxed {\therefore m\angle CBE = 112.5\degree}} [/tex]
The vet told Jake that his dog, Kevin, who weighed 78 pounds, needed to lose 14 pounds. Jake started walking Kevin every day and changed the amount of food he was feeding him. Kevin lost 1.5 pounds in the first week. Jake wants to follow the vet's advice. So, how many weeks, w, will it take Kevin to lose the weight in pounds, p.
Answer:
It will take approximately 9.3 weeks for Kevin to lose the
Step-by-step explanation:
current weight of Dog = 78 pounds
Required weight to be shed off = 14 pounds
weight lost in 1 week = 1.5 pounds
Let the number of weeks required to lose 14 pounds be w.
Assuming that the rate of weight loss per week is constant
(weight lost in 1 week) × (number of weeks) = 14 pounds
1.5 × w = 14
w = 14 ÷ 1.5 = 9.3 weeks
Therefore it will take approximately 9.3 weeks for Kevin to lose the weight
It costs $10 to initially get in to a county fair, then $2 for every ride that somebody wants to go on. What would be the slope and the y-intercept
in this situation?
Select 2 that apply
Da
Lь
d
Y-Intercept = 10
Y-Intercept = 5
Y-Intercept = 2
Y-Intercept = 20
Slope = 5
Slope = 20
Slope = 2
Slope = 10
Le
h
Answer:
y intercept is 10 and slope is 2
Step-by-step explanation:
Find the vertex of the parabola y = 2x2 + 10x + 8
Step-by-step explanation:
2x*2+10x + 8
=4x+10x+8
=14x+8
inverse of 14x+8
x-8/14
=14
Answer:
y vertex=2(-5/2)^2+10(-5/2)+8=-9/2
vertex=(-5/2, -9/2)
helppppp pls simple algebra hella points show your work
Answer:
y = -7, y = -3
Step-by-step explanation:
(y - 3)² = 2y² + 4y + 30
expand:
y² - 6y + 9 = 2y² + 4y + 30
subtract 30 from both sides
y² - 6y + 9 - 30= 2y² + 4y + 30 - 30
simplify:
y² - 6y - 21 = 2y² + 4y
subtract 4y from both sides
y² - 6y - 21 -4y = 2y² + 4y - 4y
simplify:
y² - 10y - 21 = 2y²
subtract 2y² from both sides
y² - 10y - 21 - 2y² = 2y² - 2y²
simplify:
-y² - 10y - 21 = 0
solve y by quadratic equation
- (-10) ± √ (-10² - 4(-1)(21)
y = --------------------------------------
2(-1)
y = -7, y = -3
Answer:
[tex]\Huge \boxed{y=-7 \ \ \mathrm{or} \ \ y=-3}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex](y-3)^2 =2y^2 +4y+30[/tex]
Expanding brackets.
[tex]y^2-6y+9=2y^2 +4y+30[/tex]
Subtracting (y² - 6y + 9) from both sides, then switching sides.
[tex]y^2 +10y+21=0[/tex]
Factoring left side.
[tex](y+3)(y+7)=0[/tex]
Setting factors equal to 0.
[tex]\Longrightarrow y+3= 0 \\\\\\ \Longrightarrow y=-3[/tex]
[tex]\Longrightarrow y+7=0 \\\\\\ \Longrightarrow y=-7[/tex]
[tex]\rule[225]{225}{2}[/tex]
What is the image of the point (0,5) after a rotation of 180° counterclockwise about
the origin?
Answer:
(0, -5)
Step-by-step explanation:
When we rotate a point around the origin 180°, the original coordinates (x, y) become (-x, -y).
So,
-0 is just 0 (since 0 is both negative and positive)
-(5) is -5
This makes our new point (0, -5).
Hope this helped!
There will be 3 groups with 3 cards, 1 group with 2 cards and 1 card left over. PLEASE HELP ME PUT THEM IN GROUPS
Answer:
Step-by-step explanation:
[tex](5x)^4=5x*5x*5x*5x=625x^4\\(-4xy)^2=-4xy*-4xy=16x^2y^2\\-4(xy)^2=-4*xy*xy=-4x^2y^2\\5x^4=5*x*x*x*x\\left~over -16x^2y^2[/tex]
(NEED ANSWER ASAP PLZ HURRY)Complete the division problem by determining the number that should be placed in the box. 346 13) 4498 - 3900 598 78 -78 0 Numerical Answers Expected!
Answer:
520
Step-by-step explanation:
To know what value should be placed in the box, let us calculate the carry out the operation.
Please see attached photo for explanation.
From the calculations made as shown in the attached photo, the value that should be placed in the box is 520
the surface area of a cube-shaped gift box can be represented by the function A(s) = 6s2, where s is the side length of the box in inches. What does the constant in the function A(s) represent?
Answer:
the number of faces of a cube
Step-by-step explanation:
For an edge length of s, the area of one face of a cube is s^2. The area of all six faces of the cube, the total surface area, is 6s^2. The number 6 represents the number of congruent faces of a cube.
Answer: the number of faces on the box
Step-by-step explanation:
convert 372 in Quinary number
372₁₀ = 2442₅
Step-by-step explanation:372 : 5 = 74 r 2
74 : 5 = 14 r 4
14 : 5 = 2 r 4
2 : 5 = 0 r 2 ↑
write down the remainders in the reverse order
372₁₀ = 2442₅
The perimeter of parallelogram ABCD is 46 inches. What is DA?
3 in.
4 in.
8 in.
19 in.
Answer: It is B
Step-by-step explanation:
PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!
Answer: -3/2
Step-by-step explanation:
There are two methods to find the slope
METHOD 1. Rise/Run
Rise: the y-axis value
Run: the x-axis value
In the graph, rise/run=3/2
The line is going down, so it should be negative
-3/2
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Evaluate 18×2-4^2 ÷8
Answer:
34
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
18 × 2 - 4² ÷ 8
Step 2: Exponents
18 × 2 - 16 ÷ 8
Step 3: Multiply
36 - 16 ÷ 8
Step 4: Divide
36 - 2
Step 5: Subtract
34
12. The sum of four consecutive numbers in A.P. is 32 and the ratio of the product of the first and last terms to the product of two middle terms is 7:15. Find the number.
Answer:
2, 6, 10, 14
or
14, 10, 6, 2.
Step-by-step explanation:
Let the four consecutive numbers in A.P. be a - 3d, a - d, a + d, a + 3d
According to the first condition:
a - 3d + a - d + a + d + a + 3d =32
4a = 32
a = 32/4
a = 8
According to the second condition:
[tex] \frac{(a - 3d)(a + 3d)}{(a - d)(a + d)} = \frac{7}{15} \\ \\ \frac{ {a}^{2} - (3d)^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {a}^{2} - 9d^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {8}^{2} - 9d^{2} }{ {8}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ 64 - 9d^{2} }{ 64 - {d}^{2} } = \frac{7}{15} \\ \\ 15(64 - 9 {d}^{2} ) = 7(64 - {d}^{2} ) \\ \\ 960 - 135 {d}^{2} = 448 - 7 {d}^{2} \\ \\ 960 - 448 = 135 {d}^{2} - 7 {d}^{2} \\ \\ 512 = 128 {d}^{2} \\ \\ {d}^{2} = \frac{512}{128} \\ \\ {d}^{2} = 4 \\ \\ d = \pm 2 \\ \\ when \: d = 2 \\ a - 3d = 8 - 3 \times 2 = 8 - 6 = 2 \\ a - d = 8 - 2 = 6 \\ a + d = 8 + 2 = 10 \\ a + 3d = 8 + 3 \times 2 = 8 + 6 = 14 \\\\ when \: d = - 2 \\ a - 3d = 8 - 3 \times ( -2 ) = 8 + 6 = 14 \\ a - d = 8 -( - 2 )= 8 + 2 = 10 \\ a + d = 8 + ( - 2 )= 8 - 2 = 6\\ a + 3d = 8 + 3 \times ( - 2 )= 8 - 6 = 2 \\[/tex]
Thus the four consecutive numbers of the A. P. are 2, 6, 10, 14 or 14, 10, 6, 2.
Solve this equation: 6 - x = 14
Answer:
-8
Step-by-step explanation:
6-(-8)= 14
Answer:
x = -8
Step-by-step explanation:
Rearrange: 14 = 6 - xAdd x to each side, so it now looks like this: 14 + x = 6Subtract 14 from each side, so it now looks like this: x = -18I hope this helps!
Last year Kerry's take home pay was $15 000. She spent of her take
home pay on rent. She used the rest of her take home pay for living
expenses, clothes and entertainment in the ratio 3:1:2 How much did
Kerry spend on entertainment last year?
Answer:
3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.
if there are 26 students in each third grade class and 3 third grade classes in the school , how many students will attend an assembly for third grafers if a total of 4 students absent.
Answer:
74 students would attend the assembly for third graders
Step-by-step explanation:
26 × 3 = 78
78 - 4 = 74
Please answer this I will Brainlist!!!!!
Answer:
circumference = 18.84cm
area = 28.26cm
Step-by-step explanation:
assalaamu alaikum...,
solve this.
anyone want brainliest. then answer this question.
thanks. but no nonsense answer's
Answer:
see below
Step-by-step explanation:
alaikum salam.
2. find cos Ф, sin Ф, tan Ф
cos Ф = 5 / 13
Ф = 67.38
sin Ф = 12 / 13
Ф = 67.38
tan Ф = 12 / 5
Ф = 67.38
-----------------------
3. find sin β, cos β, tan β
sin β = 4 / 5
β = 53.13
cos β = 3 / 5
β = 53.13
tan β = 4 / 3
β = 53.13
Answer: Step-by-step explanation
2.
cos Ф = 5 / 13 , Ф = 67.38
sin Ф = 12 / 13 , Ф = 67.38
tan Ф = 12 / 5 Ф = 67.38
3.
sin β = 4 / 5 β = 53.13
cos β = 3 / 5 β = 53.13
tan β = 4 / 3 β = 53.13
In 2003, a remote controlled model airplane became the first ever to fly nonstop across the Atlantic Ocean. The map shows the airplane's position at three different points during its flight. Point A represents Cape Spear, Newfoundland, point B represents the approximate position after 1 day, and point C represents Mannin Bay, Ireland. The airplane left from Cape Spear and landed in Mannin Bay. Find the total distance the model airplane flew. It flew miles. The model airplane's flight lasted nearly 38 hours. Estimate the airplane's average speed to the nearest mile per hour. The average speed was about miles per hour.
Answer: it flew 1883 miles and average speed was about 50 miles per hour
Step-by-step explanation: to get 1883 you just add up 1282+601
Need help please‼️ I appreciate it
Answer:
the answer is the last choice
Step-by-step explanation:
PLEASE HELP AND EXPLAIN Use the cosine ratio to find the value of x, to the nearest tenth. The video literally NEVER explained how to do this. Please do step by step.
Answer:
[tex]\boxed{\bold{\huge{\boxed{x = 4.0}}}}[/tex]
Step-by-step explanation:
[tex]\sf Cos\ \theta = \frac{Adjacent}{Hypotenuse}[/tex]
Where [tex]\theta[/tex] = 34° , Adjacent = x and Hypotenuse = 4.8
[tex]\sf Cos \ 34 = \frac{x}{4.8} \\0.829 = \frac{x}{4.8} \\x = 0.829*4.8\\x = 4.0[/tex]
Answer:
[tex]\Huge \boxed{x \approx 4}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can use trig functions to solve for the problem.
[tex]\sf \displaystyle cos (\theta) = \frac{adjacent}{hypotenuse }[/tex]
[tex]\sf \displaystyle cos (34) = \frac{x}{4.8 }[/tex]
Multiplying both sides by 4.8.
[tex]\sf \displaystyle 4.8 \cdot cos (34) = \frac{x}{4.8 } \cdot 4.8[/tex]
[tex]\sf x = 3.97938034[/tex]
The value of x is approximately 4.
[tex]\rule[225]{225}{2}[/tex]
3) Marvin bought a t shirt that was on sale for 20% off. He paid $14.21. for the t-shirt including
sales tax of 11 percent. Use this information to answer questions a and b.
a Circle the equation that can be used to find the original price of the t-shirt.
(c - 20c) +.11(e - 200) – 14.21
. 11(x - 20c) = 14.21
11(22.81 - 20(14.21)) = C
116.80c) + (c - 20c) = 14.21
b. Solve the equation and interpret the solution
Answer:
(a) 14.21 = 0.80x + 0.11 (0.80x)
(b) The original price of the t-shirt was $16.
Step-by-step explanation:
The information provided are:
Marvin bought a t shirt that was on sale for 20% off.He paid $14.21. for the t-shirt.The sales tax percent was 11%.(a)
Assume that the original price of the t-shirt was $x.
The discounted amount would be, x ( 1 - 0.20) = 0.80x.
The sales tax amount would be, 0.11 (0.80x).
Then the total amount paid by Marvin can be represented by the equation:
Total = Discounted amount + Sales tax amount
14.21 = 0.80x + 0.11 (0.80x)
Thus, the equation that can be used to find the original price of the t-shirt is:
14.21 = 0.80x + 0.11 (0.80x)
(b)
Compute the value of x as follows:
[tex]14.21 = 0.80x + 0.11 (0.80x)[/tex]
[tex]14.21=0.80\times 1.11\times x[/tex]
[tex]x=\frac{14.21}{0.80\times 1.11}\\\\x=16.0023\\\\x\approx \$16[/tex]
Thus, the original price of the t-shirt was $16.
What type of data is the following: “There were four dogs in the group."
A.) none of the other answers are correct
B.) Quantitative data
C.) Catgorical data
Answer: B.) Quantitative data
Step-by-step explanation:
Quantitative data is basically defined as a data with numbers that measure quantities.Category data have different categories or groups in it.In the given statement, we do not have categories but the count of dogs as "four" in a group.
Hence, the given statement represents "Quantitative data" .
So, the correct option is B) .
plane XYZ does not contain point Z
Answer: False
Point Z is part of the sequence XYZ, so that means point Z is part of plane XYZ.
If a line with slope = 2 passes through the points (4,-8) and (x,2), find x
Answer:
x = 9
Step-by-step explanation:
Calculate the slope m using the slope formula then equate to 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 8) and (x₂, y₂ ) = (x, 2 )
m = [tex]\frac{2+8}{x-4}[/tex] = [tex]\frac{10}{x-4}[/tex] = 2 ( multiply both sides by x - 4 )
2(x - 4) = 10 ( divide both sides by 2 )
x - 4 = 5 ( add 4 to both sides )
x = 9
Is 9/3 a repeating decimal? Please answer!!
Step-by-step explanation:
A repeating decimal is a recurring decimal. It has no end when divided.
9/3 is 3 so it is a terminating decimal.
it does not repeatAnswer:
The single repeating digit is 3.
Step-by-step explanation:
Write an integer to represent the following: |-34|
Answer:
34
Step-by-step explanation:
The absolute value function always gives a positive value, that is
| a | = | - a | = a , thus
| - 34 | = 34
Does anybody know the answer???
Answer:
Rectangle
Step-by-step explanation:
According to this grapher that I am using it shows a rectangle using your coordinates
Please give brainliest
Answer:
Rectangle
Step-by-step explanation:
Opposite sides (1, 1), (4,1) and (1, 3), (4,3) are horizontal and have length 3.
Opposite sides (1, 1), (1, 3) and (4, 1), (4,3) are vertical and have length 2.
There two pairs of opposite sides that are congruent, so this is a parallelogram. Since not all sides are congruent, this is not a square or a rhombus.
In addition, vertical sides and horizontal sides form right angles, so this is a parallelogram with right angles. It is a rectangle.
What is the measure of angle KQL please help fast