Step-by-step explanation:
Length of rectangle = 7 less than the twice the breadthPerimeter = 40 cmLet us say the breadth as b and length as l.
→ Length = 7 less than the twice the breadth
→ l = 2b - 7 ...(1)
Now, according to the question,
→ Perimeter of rectangle = 2(l + b)
→ 40 = 2(2b - 7 + b)
→ 40 = 2(3b - 7)
→ 40 = 6b - 14
→ 40 + 14 = 6b
→ 54 = 6b
→ 54 ÷ 6 = b
→ 9 m = Breadth
Now, finding length.
→ l = 2b - 7
→ l = 2(9) - 7 m
→ l = 18 - 7 m
→ Length = 11 m
In ΔNOP, the measure of ∠P=90°, NP = 35, ON = 37, and PO = 12. What ratio represents the sine of ∠N?
Answer:
12/37
Step-by-step explanation:
SOH - CAH - TOA
O = opposite
A = adjacent
H = hypotenuse
Sin = O/H
Sin N = 12/37
Answer:Find sin N
sinN=
hypotenuse/opposite
12/37
Step-by-step explanation:
Write down the next four terms in sequence 4,7,10,13,16,19
Answer:
22, 25, 28, 31
Step-by-step explanation:
Note there is a difference of + 3 between consecutive terms , then
19 + 3 = 22
22 + 3 = 25
25 + 3 = 28
28 + 3 = 31
Answer:
23,26,29,33
Step-by-step explanation:
There is a +3 diffierence in between the terms. to find the next four terms you just have to keep adding 3 to the lastest term.
If this helps you, please give brainliest.
Solve for x and state the measure of the angles with an x in them
Answer:
x = 83
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
75+x+97+105 = 360
Combine like terms
x+277=360
Subtract 277 from each side
x+277-277=360-277
x = 83
out of 75 student 3 were a scent what percentage was present
Answer:
To find a percentage, divide the number present by the total number of students, then multiply that number by 100.
Answer:
96% were present.
Step-by-step explanation:
75/100 , 72/? Find percent (?)
(72*100 / )75
96%
Solve for x (picture attached) Thank you!
Answer:
x= 52
Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?
What is the point of intersection to the system below?
2x - 3y = 5
3x +3y = 5
Answer:
Solution: {x = 2, y = -1/3}
Step-by-step explanation:
On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.
2x-3y = 5 ..........(1)
3x+3y = 5............(2)
(1) + (2)
2x - 3y + 3x + 3y = 5+5
5x = 10
x = 2 .......(3)
Substitute (3) in (2) and solve for x
3x+3y = 5 .....(2)
3(2) + 3y = 5
3y = 5-6 = -1
y = -1/3 .......(4)
assemble (3) and (4) to give the answer
Solution: {x = 2, y = -1/3}
Plz help meee <3 kitty’s
Answer:
linear means a line (that eliminates c and d)
as "X" increases the "Y" value "DECREASES" so the answer is "B"
Step-by-step explanation:
Answer:
B. Linear decreasing
Step-by-step explanation:
The graph appears to have a negative slope, and it is a straight line. This means the graph will be linear. An exponential growth/decay would have a curved line, so those are automatically out. Since the farther the points go the more downwards the line is, this means it is decreasing.
hope this helped. :)
Un capital de S/. 42.000 colocado a una tasa de interés del 7% capitalizable anualmente, ¿en cuántos meses produce un interés de S/. 8 700?
Answer:
Se requiere 34 meses para producir un interés de 8700 soles.
Step-by-step explanation:
Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:
[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)
Donde:
[tex]C_{o}[/tex] - Capital inicial, en soles.
[tex]C[/tex] - Capital actual, en soles.
[tex]r[/tex] - Tasa de interés mensual, en [tex]\frac{1}{a}[/tex].
[tex]t[/tex] - Período de capitalización, en años.
Si sabemos que [tex]C_{o} = 42000[/tex], [tex]C = 50700[/tex] y [tex]r = 7\,\frac{\%}{a}[/tex], entonces el período de capitalización es:
[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]
[tex]\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}[/tex]
[tex]\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)[/tex]
[tex]t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}[/tex]
[tex]t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}[/tex]
[tex]t = 2.782\,yr[/tex]
Es decir, se requiere 34 meses para producir un interés de 8700 soles.
Ten times a number a added to three times a second number b divided by a third number c.
Answer:
10a+3b÷c/3
Step-by-step explanation:
let the first number be a
second be b
third be c
10×a +3×b ÷c÷3
10a+3b÷c/3
=10a+3b÷c/3
Which table graph represents the equation y=2x?
Answer:
From the two graphs, I can see in the picture, I can tell that the left graph represents y=2x because the y-intercept is 0 and the slope is 2 because the line goes up two and over one (2/1) or just 2.
Step-by-step explanation:
Hope this helps
Mr. Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
BD is the angle bisector of ABC. Find m ABC and m DBC. (Picture attached!) Thank you!!!
Answer:
60 Degree,30 degree
Step-by-step explanation:
BD is bisector of ∠ABC
=> ∠ABD = ∠DBC
=> 3x = x + 20
=> 3x - x = 20
=> 2x = 20
=> x = 20/2
=> x = 10
Now,
∠ABD = ∠DBC = x + 20 = 10 + 20 = 30 Degree
∠ABC = ∠ABD+∠DBC = 30+30 = 60 Degree
39.63+0.30=24.45+0.80
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]
[tex]\large\textsf{39.63 + 0.30}[/tex]
[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]
[tex]\large\textsf{24.45 + 0.80}[/tex]
[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]
[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
how do do this plz help
Answer:
okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.
second one go down one. then down one right one
Please help. Will give 15 points!!!!
it should be false but its been a while since i did that but the expressions should be multiplied together
Please help me
How many solutions does the equation
1-(6x - 4) = 3(1 – x) have?
Answer: one solution
this is all i know
Answer:
D
Step-by-step explanation:
Given
1 - [tex]\frac{1}{2}[/tex] (6x - 4) = 3(1 - x) ← distribute parenthesis on both sides
1 - 3x + 2 = 3 - 3x
3 - 3x = 3 - 3x
Since both sides of the equation are the same , then
This indicates the equation has infinitely many solutions.
1. The equation is of the form , where a, b, and c are all positive integers and . Using this equation as a model, create your own equation that has extraneous solutions. (a) Using trial and error with numbers for a, b, and c, create an equation of the form , where a, b, and c are all positive integers and such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.) (b) Solve the equation you created in Part 2a. (c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, create another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.
Answer:
[tex]7 + a = \sqrt{7b + c}[/tex] --- equation
[tex]a = 3; b =5\ and\ c = 65[/tex] --- the equation is true for these values
[tex]a = 4; b=5\ and\ c = 10[/tex] --- the equation is extraneous for these values
Step-by-step explanation:
Given
[tex]x +2 = \sqrt{3x + 10[/tex]
[tex]x + a = \sqrt{bx + c}[/tex]
Solving (a): Equation to solve for a, b and c, using trial by error where [tex]x = 7[/tex]
We have:
[tex]x + a = \sqrt{bx + c}[/tex]
Substitute 7 for x
[tex]7 + a = \sqrt{7b + c}[/tex] --- This is the equation
Solving (b): Solve for a, b and c --- to make the equation true
[tex]7 + a = \sqrt{7b + c}[/tex]
Let a = 3 ----- Here, we choose a value for a
[tex]7 + 3 = \sqrt{7b + c}[/tex]
[tex]10 = \sqrt{7b + c}[/tex]
Square both sides
[tex]100 = 7b + c[/tex]
Let b = 5 --------- Here, we choose a value for b
[tex]100 = 7*5 + c[/tex]
[tex]100 = 35 + c[/tex]
Subtract 35 from both sides
[tex]c = 65[/tex]
So, [tex]x + a = \sqrt{bx + c}[/tex] is true for
[tex]a = 3; b =5\ and\ c = 65[/tex]
Solving (b): Solve for a, b and c --- to make the equation false
[tex]7 + a = \sqrt{7b + c}[/tex]
Substitute [tex]a = 4; b=5\ and\ c = 10[/tex]
So, we have:
[tex]7 + 4 = \sqrt{7*5 + 10}[/tex]
[tex]11 = \sqrt{35 + 10}[/tex]
Square both sides
[tex]121 = 45[/tex] --- This is false
i.e.
[tex]121 \ne 45[/tex]
Which angle would be complementary to
Work out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.
Step-by-step explanation:
perimeter = 2(lenth + base)
perimeter-2b = 2(length)
Area=length×breadth
I need help solving both of these 2 I’ve tried asking but nobody knows
Answer:
Step-by-step explanation:
x/7 - 13 ≥ -11
x/7 ≥ 2
x ≥ 14
m/-6 + 16 ≥ 19
m/-6 ≥ 3
m/6 ≤ -3
m ≤ -18
A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in terms of ?
Answer:
volume= 502.4cm
Step-by-step explanation:
see attachment for detailed solution
Answer:
Step-by-step explanation:
Formulae for Volume = Pi x r2 x h
Pi = 3.14 or 314/100 because the radius is not a product of 7
Radius = 4 cm
Height = 10 cm
314/100 x 4 x 4 x 10 = 512.4 cm2
= 512.4 cm2
help me..........
only 23...
Question 23
Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.
We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.
Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.
See the diagram below.
A real estate agent earns about a 6% commission on each house sold. How
much commission would an agent earn on a house that sold for $125,000?
Answer:
132'500
Step-by-step explanation:
It is like doing tax, you just needed to multiply your number by 0.6
Answer:
$ 7,500
Step-by-step explanation:
commission=6%
House price= $125,000
Commission=6/100 ×125,000
Commission= $ 7,500
there are 24 students in a class. among them 8 are girl.
a.find the ratio of boys and girls
b.find the ratio of girls and boys
Answer:
A 2:1
B 1:2
Step-by-step explanation:
If there is 24 students and 8 are girls, then 24 - 8 tells you how many are boys.
24 - 8 = 16.
There are 16 boys.
If there is 16 boys and 8 girls, the ratio would be 2 : 1 or 2/1 or 2 because 16 and 8 have a common factor of 8, so both sides can be divided by 8.
Hence the 8 : 2.
Ratios are commonly expressed with a colon, so that is going to be the symbol I'm using to differenciate the numbers.
We can just reverse the ratio since the original was boys to girls, but it is now girls to boys.
1:2
PLEASE HELP DONT SKIP I NEED YOU
Find the number of different outfits that can be made from 3 sweaters, 4 shirts, and 6 pants. Then find the probability of selecting a particular sweater, shirt, and pants outfit.
outcome -
Probability (as a fraction) -
Answer:
72 outfits possible,
1/72 chance of selecting a particular outfit
Step-by-step explanation:
For each of the 3 sweaters, there are 4 shirts to choose from, and for each of those 4 shirts, there are 6 pants to choose from. Therefore, there are totally [tex]3\cdot 4\cdot 6=72[/tex] outfits to choose from (order is fixed and therefore negligible). A specific outfit would represent 1 of these 72 outfits. Therefore, the probability of selecting a particular outfit is [tex]\boxed{\frac{1}{72}}[/tex]
Suppose that F(x)= x^2 and G(x) 4/5 x^2. Which statements best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) stretched vertically.
b. The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis.
C. The graph of G(x) is the graph of F(x) compressed vertically.
d. The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis.
Answer:
Step-by-step explanation:
C. The graph of G(x) is the graph of F(x) compressed vertically.
If, for example, x = 1, then F(1) = 1^2 = 1, while G(1) = (4/5)(1^2) = 4/5.
Note that G(1) < F(1); we say G(x) is a vertical compression of F(x).
Pleasee help me, I might give brainliest to the best answer. I urgently need a answer
Answer:
1<1.35<2
Step-by-step explanation:
Answer:
1.35 is closer to 1 than 2
So the bag of nuts weighed about 1 pound.
Step-by-step explanation:
The decimal is closer to the whole number 1 when plotted on a number line, so it rounds to 1.
What are the x-intercepts of the graphed function?
(–3, 0) and (0, 1.5)
(–3, 0) and (1,0)
(–1, 2) and (1, 0)
(0, 1.5) and (1, 0)
Answer:
Step-by-step explanation:
d
Answer:
D
Step-by-step explanation:
Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He wants to know how many minutes (m)(m)left parenthesis, m, right parenthesis it will take him to run 52 \text{ km}52 km52, start text, space, k, m, end text at the same pace.
How long will it take Scott to run 52 \text{ km}52 km52, start text, space, k, m, end text?
Given:
Scott can run 20 km in 85 minutes.
To find:
How long will it take Scott to run 52 km?
Solution:
Let us consider x be the number of minutes it will take him to run 52 km.
We know that,
[tex]Speed=\dfrac{Distance}{Time}[/tex]
By using this formula, we get
[tex]Speed=\dfrac{20}{85}[/tex] ...(i)
[tex]Speed=\dfrac{52}{x}[/tex] ...(ii)
On equating (i) and (ii), we get
[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]
[tex]20\times x=52\times 85[/tex]
[tex]20x=4420[/tex]
On dividing both sides by 20, we get
[tex]x=\dfrac{4420}{20}[/tex]
[tex]x=221[/tex]
Hence, it will take 221 minutes to run 52 km.
HELLPPPPPP PLEASEEE!!!
Answer:
Step-by-step explanation:
The first term is 2
Therefor t₁ = 2
Each aditional term is 5 times the previous term
That's the second choice
