Answer:
the corresponding sides are proportional
Solve: −8(−3m−5)+2=5(−m−3)−1.
An ordinary annuity that earns 7.5% compounded monthly has a current balance of $500000. The owner of the account is about to retire
and has to decide how much to withdraw from the account each month.
Find the number of withdrawals under each of the following options:
(a) $5000 monthly (b) $4000 monthly (c) $3000 monthly
ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
R
T
? Round to the nearest hundredth. Enter your answer in the box.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)
{20 PTS}
4/6 = ??? x 1/6
what number makes this equation true? fill in the blank
Which of the following is the equation of a line with a slope of -5/9
Answer:
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Step-by-step explanation:
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What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
Given a triangle with a = 19, A = 43°, and B = 26°, what is the length of c? Round to the nearest tenth.
C. 27
a. 26
d. 28
b. 25
Please select the best answer from the choices provided
The best answer from the given choices is b. 25.
To find the length of side c in the triangle, we can use the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.
Using the Law of Sines, we can write:
c/sin(C) = a/sin(A)
Substituting the given values:
c/sin(43°) = 19/sin(26°)
Now, we can solve for c by rearranging the equation:
c = (19 * sin(43°)) / sin(26°)
Using a calculator, we find:
c ≈ 25.01
Rounded to the nearest tenth, the length of side c is approximately 25.0.
Therefore, the best answer from the given choices is b. 25.
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(sinx) / (1-cosx) =cscx+cotx
Prove the identity.
Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
\(~~\text{L.H.S}\\\\=\dfrac{\sin x}{1-\cos x}\\\\\\=\dfrac{\sin x(1+ \cos x)}{(1 -\cos x)(1+ \cos x)}\\\\\\=\dfrac{\sin x + \sin x \cos x}{1- \cos^2 x}\\\\\\=\dfrac{\sin x+ \sin x \cos x}{\sin^2 x}\\\\\\=\dfrac{\sin x}{ \sin^2 x}+ \dfrac{\sin x \cos x}{ \sin^2 x}\\\\\\=\dfrac{1}{ \sin x} + \dfrac{\cos x}{ \sin x}\\\\\\=\csc x + \cot x\\\\\\=\text{R.H.S}\\\\\text{Proved.}\)
(IM GIVING EXTRA POINTS AND BRAINLIEST TO WHO EVER HELPS ME! ;D)
Which of the following gives the most complete and accurate description of the
friction in the image?
A) The rough texture of the ground creates a small amount of friction.
B) The smooth texture of the ground creates a greater amount of friction.
C) The push of the suitcases causes friction between the wheels and the ground.
D) There is friction between the suitcases and the ground and between the feet and the ground.
(Here is the image) :
Answer:
I think D
Step-by-step explanation:
The ground looks pretty smooth to me, plus D has more info
Also, is that math?
Because it doesn't look like math.
Answer:
D
Step-by-step explanation:
all the others don't make sense
I'll take my brainlets
HELP IT IS 5th GRADE ONLY PLEASE I GIVE ALL STARS AND BRAINLY
Answer:
the height is 15
Step-by-step explanation:
Divide the area of the base and volume to get the height
Given the coordinate, perform the following transformation and give the new coordinates.
12. Reflect (2, 3) over the x axis: (
13. Reflect (7, -2) over the y axis: (
14. Rotate (4, 5) 90° about the origin: (
15. Rotate (-3, -2) 270° about the origin:
16. Reflect (17, -23) over the line y=x.
12) (2, 3) over the x - axis becomes, (2, -3).
13) (7, -2) over the y - axis becomes, (-7, -2).
14) (4, 5) 90° about the origin becomes, (-5, 4).
15) (-3, -2) 270° about the origin becomes, (-2, 3).
16) (17, -23) over the line y = x becomes, (-23, 17).
What is transformation of points?
The reflection is the type of alteration that takes place when each point in the shape is reflected over a line. The picture is on the opposite side of the line from the pre-image when the points are reflected across a line, but it is still at the same distance from the line as the pre-image. The reflection of each point (p, q) onto an image point (q, p).
12) Reflect (2, 3) over the x axis:
Since, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse.
The x-axis' reflection of point (x, y) is (x, -y).
So, (2, 3) becomes, (2, -3).
13) Reflect (7, -2) over the y axis:
Since, the y-coordinate of a point that is reflected across the y-axis stays constant, but the x-coordinate is assumed to be the additive inverse.
So, (7, -2) becomes, (-7, -2).
14) Rotate (4, 5) 90° about the origin:
(x, y) → (-y, x) is the formula for a 90° rotation about the origin.
So, (4, 5) becomes, (-5, 4).
15) Rotate (-3, -2) 270° about the origin:
(x, y) → (y, -x) is the formula for a 270° rotation of the origin.
So, (-3, -2) becomes, (-2, 3).
16) Reflect (17, -23) over the line y=x.
The angle at which the point (x, y) is reflected across the line y = x is (y, x).
So, (17, -23) becomes, (-23, 17).
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What kind of passenger be considered a true negative ?
Answer: A someone with dangerous material passed by security
Step-by-step explanation:
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set
yy<-1/2x-4
For the inequalities y > 3x - 5 and y < -x - 1 the points of solution set is (1,-2).
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The given inequalities are -
y > 3x - 5
y < -x - 1
Write both the inequalities in equation form -
y = 3x - 5 ..... (1)
y = -x - 1 ....... (2)
Substitute the value of y in equation (1) -
y = 3x - 5
-x - 1 = 3x - 5
-x - 3x = -5 + 1
-4x = -4
x = 1
Substitute the value of x in equation (1) -
y = 3x - 5
y = 3(1) - 5
y = -2
Therefore, the graphs of inequalities intersect at (1,-2).
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Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.
y > 3x-5
y < -x-1
Find the volume of the composite. The solid below is a square prism with a cylinder
cut out of it. Round to the nearest whole centimeter.
Answer:
17,242 cm³
Step-by-step explanation:
Step 1:
Volume of square prism = (area of base) * height
Volume of square prism = (25 * 30) * 25
Volume of square prism = 750 * 25
Volume of square prism = 18,750 cm³
Step 2:
Volume of cylinder = (area of base) * height
Volume of cylinder = (π * (8/2)²) * 30
Volume of cylinder = 16π * 30
Volume of cylinder = 480π
Volume of cylinder ≈ 1,508 cm³
Step 3:
Volume of composite = (Volume of square prism) − (Volume of cylinder)
Volume of composite = 18,750 cm³ − 1,508 cm³
Volume of composite = 17,242 cm³
182 – (4 + 92) answer thank you
Answer:
86
Step-by-step explanation:
182 – (4 + 92)
I have big brain
6x = 468/19 Please help! Show all work please!
Answer:
\( \sf \: x= \frac{78}{19} (Decimal: 4.105263)\)
Step-by-step explanation:
Let's solve your equation step-by-step.
6x=468/19
Step 1: Divide both sides by 6.
6x/6=468/19/6
x=78/19 (Decimal: 4.105263)
One batch of pink paint uses 2 cups of red paint and 7 cups of white paint. 1 Mai made a large amount of pink paint using 14 cups of red paint. How many cups of white paint are used per cup of red paint? *
From the information given,
One batch of pink paint is made from 2 cups of red paint and 7 cups of white paint.
This means that the ratio of red paint to white paint in 1 batch of pink paint is 2:7
By reducing to the lowest term, it becomes 1:3.5
This means that 1.5 cups of red paint is used with 3.5 cups of white paint.
This ratio is constant.
Let x represent the number of cups of white paint used. Given that he made a large amount of pink paint by using 14 cups of red paint, it means that the number of cups of white would be
1/3.5 = 14/x
By cross multiplying, it becomes
x = 3.5 * 14
x = 49 cups
49 cups of white paint would be used with 14 cups of red paint
3.5 cups of white paint is used per cup of red paint
Alan sees this offer refurbished phone 45% offer
Answer:
127.50
Step-by-step explanation:
Answer:
127.50
Step-by-step explanation:
What is 88 2/4 rounded to the nearest whole number
The value of the mixed fraction 88²/₄ rounded to the nearest whole number is 89.
What are mixed fractions?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2¹/₃, where 2 is the quotient and 1 is the remainder
To round 88²/₄ to the nearest whole number, we look at the fraction 2/4, which simplifies to 1/2.
If the numerator of the fraction is less than 1/2, we round down to the nearest whole number. If the numerator is greater than or equal to 1/2, we round up to the nearest whole number.
In this case, the numerator is 2, which is greater than 1/2. Therefore, we round up to the nearest whole number.
88²/₄ rounded to the nearest whole number is 89.
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Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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Use the graph below to determine over which interval(s) the graph is decreasing.
(-6, -4)
(-4, 1) and (−∞, −6)
(-6, -4) and (1, ∞)
(-6, -4) and (4,∞)
(7, -6) and (4, ∞)
The interval(s) the graph is decreasing is (7, -6) and (4, ∞).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
Given:
According to the graph the decreasing function will be the point where the line of the graph decreasing.
First the graph is decreasing from 4 till infinity
and on the left side of the graph the decreasing point is from 7 to (-6).
Hence, the interval of decreasing graph is (7, -6) and (4, ∞).
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A piano keyboard has a total of 88 key.Which best describes the relationship the black keys have with each other
The relationship that the black keys have with each other in piano keyboard has a total of 88 keys is that there are 9 blacks keys for every 22 keys.
How to illustrate the information?It should be noted that in a piano keyboard that has a total of 88 keys, the number of black keys that are in the piano is 36 black keys.
Therefore, the appropriate ratio between the black keys and total keys will be:
= 36 / 88
= 9 / 22
= 9:22
Therefore, the relationship is that there are 9 blacks keys for every 22 keys.
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Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
-5, -2, -4/5, -8/25,… find the sum
Explanation:
We determine if it is geometric progression or arithmetic
Geometric progression:
\(r\text{ = common ratio = }\frac{next\text{ term}}{\text{previous term}}\)\(\begin{gathered} r\text{ = }\frac{-2}{-5}=\frac{2}{5} \\ r\text{ = }\frac{-4}{5}\div-2\text{ = }\frac{-4}{5}\times\frac{1}{-2} \\ r\text{ = }\frac{2}{5} \end{gathered}\)The common ratio is the same. so we would apply sum of geometric progression:
\(S_n=\frac{a(1-r^n)}{1-r}\)\(\begin{gathered} a\text{ = -5} \\ r\text{ = 2/5} \\ T\text{here are 4 terms, n = 4} \\ S_4=\frac{-5(1-(\frac{2}{5})^4)}{1-\frac{2}{5}} \end{gathered}\)\(undefined\)Help me with this question please
Answer: C
Step-by-step explanation:
Y=2x-4
8=2(6)-4
8=12-4
8=8 Correct
Find u+v-4u.
u=(5,-2) and v= (-5,7)
By placing the given value in equation , we get u + v - 4u = (-20, 13)
How to evaluate vector?A physical quantity that has both directions and magnitude is referred to as a vector quantity.
A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.
To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:
4u = 4(5,-2) = (20,-8)
Now, we can add u and v, and subtract 4u from the result:
u + v - 4u = (5,-2) + (-5,7) - (20,-8)
= (5 - 5 - 20, -2 + 7 + 8)
= (-20, 13)
Therefore, u + v - 4u = (-20, 13).
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A study is conducted to investigate whether customer satisfaction is greater among computer companies that offer tech support versus those that do not offer tech support. A random sample of 50 customers are selected from among those that purchased computers that offer tech support. A separate random sample of 40 customers are selected from among those that purchased computers that do not offer tech support. The study found that the mean satisfaction rating was significantly greater among customers that purchased computers that offer tech support. Which of the following is the best description of this study?
A) An experiment using a completely randomized design.
B) An experiment using a randomized block design.
C) An experiment using a matched pairs design.
D) An observational study using a simple random sample.
E) An observational study using a stratified sample.
Answer:
E) An observational study using a stratified sample.
Step-by-step explanation:
This study is not an experiment because the customers were not subjected to any treatment but just observation from those selected. Also, the sampling method used was stratified sampling because we see that random samples were selected independently from two unique populations which are population of those that purchased computers and those that offer tech support.
Therefore the correct option is E.
pls help find the answer !!
FIND EG
Answer:
EG = 7
Step-by-step explanation:
The parallel lines cut sides AB and AC into segments with proportional lengths.
AB/DF = AC/EG
(AD + DF + FB)/DF = AC/EG
(18 + 10 + 12)/10 = 28/EG
40/10 = 28/EG
4 = 28/EG
4EG = 28
EG = 28/4
EG = 7
Elena uses 12 red beads to make 4 bracelets how many red beads will Elena need to make 12 bracelets ,
Part 2 :How many red beads will Elena need to make
16 bracelets?
Part 1:
Answer:36 red beads
Step-by-step explanation:
12/4=3 beads per bracelet
3x12=36 red beads
Part 2:
Answer:48 red beads
Explanation:
We know 3 red beads per bracelet.
3x16=48 red beads
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65