(8.11×107)–(4.3×107)
Answer: 407.67
Explanation:
(8.11×107)–(4.3×107) =
(8.11)(107)−(4.3)(107) =
407.67
The simple interest on a sum of money in 2 years is Rs 90 less than its compound interest. If the rate of interest in a year is 15%, find the sum.
Answer:
hence, the req sum of amount is Rs 213.07
check both the files . and got any confusion then comment it .
hope this helped you
which figures have rotation Cemetery
find the unknown angles
Answer:
Step-by-step explanation:
∠WZA + WZY = 180 {linear pair}
88 + ∠WZY = 180
∠WZY = 180 - 88
∠WZY = 92°
∠WXY + ∠WZY = 180 {Opposite angle in cyclic quadrilateral}
x + 92 = 180
x = 180 - 92
x = 88°
Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O ASA
O AAS
A
• None
•
SSS
O SAS
Answer:
SSS is used
Step-by-step explanation:
mark me as brainliest ❤️
The triangles are congruent with SSS postulates. Then the correct option is D.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
Two triangles are shown.
The SSS postulate is one of the ways to prove that two triangles are congruent. SSS stands for "side-side-side," and it states that if three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.
The corresponding sides of the triangle will be equal. Then the triangles are congruent with SSS postulates.
Thus, the correct option is D.
More about the triangle link is given below.
https://brainly.com/question/25813512
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The line joining (3, p) to (7, –4p) is parallel to the line joining (–1, –3) to (3, 7). Find p.
Answer:
p = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (3, 7)
m = [tex]\frac{7-(-3)}{3-(-1)}[/tex] = [tex]\frac{7+3}{3+1}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]
Parallel lines have equal slopes
Calculate the slope of the other 2 points and equate to [tex]\frac{5}{2}[/tex]
with (x₁, y₁ ) = (3, p) and (x₂, y₂ ) = (7, - 4p)
m = [tex]\frac{-4p-p}{7-3}[/tex] = [tex]\frac{-5p}{4}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
- 10p = 20 ( divide both sides by - 10 )
p = - 2
49q²-70q+25 resolve into fractors
Answer:
(7q-5)²
Step-by-step explanation:
= 49q² - 70q + 25
= 49q² -35q -35q + 25
= 7q(7q-5) - 5(7q - 5)
= (7q-5) (7q-5)
= (7q-5)²
CMIIW
Answer:
Step-by-step explanation:
49q² -70q +25 , rewrite the first two terms as squares
(7q)² -70q + 5² , compare with a² - 2ab + b² = (a-b)²
a² - 2ab + b²
(7q)² -2(7q)(5 )+ 5², because 70q = 2*35q = 2*7*5*q
We can see that a = 7q and b=5, therefore
49q² -70q +25 = (7q -5)²
We set the equation equal to 0 to find the roots
7q-5 =0, add 5 to both sides
7q =5 , divide both sides by 7
q = 5/7 ≈ 0.714
78x32 (100 points and brainliest)
78 × 32 = 2496 → answer
...
Answer:
thx
Step-by-step explanation:
your cell phone plan cost 24.99 per month plus $19 for each text message you send or receive you have at most $34 to spend on your cell phone bill what is the maximum number of text message you can receive or sent
Answer:
1.
Step-by-step explanation:
You can't send two because it'd be 38
How do I explain this??
Answer:
No
Step-by-step explanation:
The x-axis shows Craig's pitch speed in miles per hour.
The highest speed he did was between 70 to 75 mph. Craig's doesn't specify the speed in the histogram, so we can only be sure that Craig's fastest is between 70 to 75 mph.
Reduce the rational number to its lowest terms.
12
32
Answer:
3/8
Step-by-step explanation:
Which of the following numbers is irrational? A. V50 B. V169 C. 736 D. 225
A. √50 = 5√2 ≈ 7,07107
B. √169 = √13² = 13
C. 736
D. 225
what is the domain of the function
Answer:
(-∞,20}
Step-by-step explanation:
Use the commutative property to reorder the terms.
Separate the function into parts to determine the domain of each part
The domian of a rational function are all values of x which the denominator is different than 0
Find the intersection
Rewrite in the simplest terms: 8k - 9(4k +4)
8k - 9(4k + 4) = 8k - 36k - 36 = -28k - 36
Let's rewrite in the simplest term,
→ 8k - 9(4k + 4)
→ 8k - 36k - 36
→ [-28k - 36]
The simplest term is -28k - 36.
If 3 and 5 are factors of a number, then
15 is a factor of the number.
Answer:
factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored).
Step-by-step explanation:
The given statement, "If 3 and 5 are factors of a number, then
15 is a factor of the number", is true as the lowest common multiple of 3 and 5 is 15.
What do we mean by factors of a number?A number x is said to be a factor of another number y when y/x leaves a remainder = 0.
How do we solve the given question?In the question, we are asked that if 3 and 5 are factors of a number, then will 15 also be a factor of that number.
The smallest number with the factors 3 and 5 is 15, as the lowest common multiple of 3 and 5 is 15. Hence, the number we are looking for is a multiple of 15, that is, 15 is a factor of that number.
∴ We can say that any number having factors 3 and 5, will have a factor of 15. Hence, the given statement is true.
Learn more about factors of a number at
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Need help with # 12 for distance/ midpoints formula. And another problem for #1 distance, segment and radicals ? Please help
Step-by-step explanation:
#12
PQ = 6x + 25
QR = 16 - 3x
PR = 6x + 25 + 16 - 3x
PR = 3x + 41
#1
D = √(-4 - 5)² + (-7 - 2)²
D = √(-9)² + (-9)²
D = √81 + 81
D = √162
D = 9√2
Use coordinate notation to enter the rule that maps each preimage to its image. Then ic
transformation and confirm that it preserves length and angle measure.
A(-5,5) ► A'(5,5)
B(-2,2) B'(2, 2)
C(-3,2) → C'(2,3)
The transformation is a rotation of ?
(x,y) →
° clockwise about the origin given by the rules
6
5
Coordinate geometry is the use of a 2D plane to represent points.
The transformation is a rotation of 270 degrees clockwiseThe transformation preserves length because the length of the image and preimage are the sameThe transformation preserves angles because the angles of the image and preimage are the sameGiven that:
[tex]A = (-5,5) \to A' = (5,5)[/tex]
[tex]B = (-2,2) \to B' = (2, 2)[/tex]
[tex]C = (-3,2) \to C' = (2,3)[/tex]
By observing the pattern of transformation, the rule is:
[tex](x,y) \to (y,-x)[/tex]
Hence, the transformation is a rotation of 270 degrees clockwise
The length is calculated using the following distance formula:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]
[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]
[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]
And
[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]
[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]
[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]
By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.
The measure of the angles is calculated as follows:
[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]
So, we have:
[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]
[tex]-2= \sqrt{13} \cos C[/tex]
Make cos C the subject
[tex]\cos C = -0.5547[/tex]
[tex]C = cos^{-1}(-0.5547)[/tex]
[tex]C = 124^o[/tex]
Also, we have:
[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]
So, we have:
[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]
[tex]\frac{1}{\sin A} =5.1175[/tex]
Rewrite as:
[tex]\sin A = \frac{1}{5.1175}[/tex]
[tex]\sin A = 0.1954[/tex]
[tex]A = \sin^{-1}(0.1954)[/tex]
[tex]A = 11^o[/tex]
Also, we have:
[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle
[tex]11 + B + 124 = 180^o[/tex]
Collect like terms
[tex]B = 180 -11 - 124[/tex]
[tex]B = 45[/tex]
Hence:
[tex]\angle A = 11[/tex] [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]
Read more about coordinate geometry at:
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A pound of chocolate costs 7 dollars. David buys p pounds. Write an equation to represent the total cost c that David pays.
Answer:
C = 7p
Step-by-step explanation:
Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.
g(x)=x^2-x
g(-4)
help!
Answer:
g(-4) = 20
Step-by-step explanation:
g(x) = x^2 - x when x = -4
~Substitute
= (-4)^2 - (-4)
~Simplify
= 16 + 4
= 20
Best of Luck!
Solve the equation
6x + 8 = 44
What is the solution set? Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answer:
x = 6
Step-by-step explanation:
6x = 36
x = 6
hope that helps
Answer:
6
Step-by-step explanation:
6x + 8 = 44
6x = 44 - 8
6x = 36
x = 6
therefore the right answer is 6
The formula Q = MCT we're Q = heat flow, M = mass, C = Specific heat, and T = change of temperature is used to calculate heat flow. Solve this formula for T.
the answer must be t equal to Q over MC
Answer:
T= Q over MC
Step-by-step explanation:
I did the test
Which expression is equivalent to 4^7/8 /4^1/4? Choose One answer only
A. 4^5/8
B. 4^9/8
C. 4^6/4
D. 4^8/12
Answer:
Option(A) [tex]4^{\frac{5}{8}}[/tex] is equivalent to [tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]
Step-by-step explanation:
Given:
[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]
To simplify the expression
Using the exponent rule,
[tex]$\frac{x^{a}}{x^{b}}=x^{a-b}$[/tex]
[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex][tex]=4^{\frac{7}{8}-\frac{1}{4}}[/tex]
[tex]=4^{\frac{5}{8}}[/tex]
The correct answer option is (A) [tex]4^{\frac{5}{8}}[/tex]
Learn more about Exponent rule, refer:
https://brainly.com/question/4431222https://brainly.com/question/13277609Need help with this math question. Will give brainliest
HELP PLEEAASSEEE!!!!!!!
Drag the tiles to the correct boxes to complete the pairs.
Match the numbers in standard notation with the corresponding numbers in scientific notation.
What is the product of 5s and (-52 +38 – 9)?
Answer:
1st one
Step-by-step explanation:
it is by multiple of 5 withthe words inside bracket.
Answer:
52
+38
=90
-9
=81
so the answer is=81
Billy had a farm with chickens, goats and cows. He wanted to know how many animals he had altogether, so he placed them in groups. he realised that he had 200 animals with 4 legs and 70 animals with 2 legs. if the no. of cows was 1/3 of the no of goats. how many cows are on the farm?
Answer:
190 goats
33 cows
70 chickens
simplify by combing like terms 3(a-b)/9 +4/9b
Answer: 3a+b/9
(the slash represents a fraction so the answer is a fraction)
Step-by-step explanation:
A "B" grade on a test is 85%. How many questions can you miss on a 35-question exam and get a
B.
Answer:
5
Step-by-step explanation:
If all question are worth same same amount of points, you can miss 5 questions out of 35 and get an 86. If you miss 6 questions you would get an 83.
hope this helped!
Answer:
5
Step-by-step explanation:
Consider a triangle ABC like the one below. Suppose that A=121° C = 25°, and a=64. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answer:
4
Step-by-step explanation:
i need points bro
how do you convert a repeating decimal in the 10000 place into a fraction?
Decimal to Fraction
Converting any terminating decimal into a fraction is fairly straightforward. You count the number of decimal places, move the decimal point that number of places to the right, and put the resulting number over "1" followed by that number of zeroes.
For instance:
Convert the decimal 0.7 into a fraction.
This decimal has one decimal place, so I move the decimal point one place to the right, to get 7. Then I put this over "1" followed by one zero (otherwise known as "10") to get: 7/10
Step-by-step explanation: