Answer:
[tex]A=(17+7\sqrt7)\ m^2[/tex]
Step-by-step explanation:
Given that,
The length of the rectangle, [tex]l=(3+\sqrt7)\ m[/tex]
The width of the rectangle, [tex]b=(1+2\sqrt{7} )\ m[/tex]
We need to find the area of the rectangle. We know that the area of the rectangle is given by :
[tex]A=l\times b[/tex]
Put all the values in the above formula.
[tex]A=(3+\sqrt7)\times (1+2\sqrt7)\\\\=3+3\times 2\sqrt7 +\sqrt7+2(\sqrt7)^2\\\\=3+6\sqrt7+\sqrt7+14\\\\=(17+7\sqrt7)\ m^2[/tex]
So, the area of the rectangle is [tex](17+7\sqrt7)\ m^2[/tex].
find the value of X in the equation below 8x=2.4 (plz be fr)
Answer:
x=0.3
Step-by-step explanation:
divide 8 by both sides to isolate x
8x/8= 2.4/8
2.4/8= 0.3, leaving x by itself, giving us x=0.3
Hope this helps and have a great week!
answer:x = 0.3
Step-by-step explanation:Simplifying
8x = 2.4
Solving
8x = 2.4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '8'.
x = 0.3
Simplifying
x = 0.3
HOW HELP ME PLEDSSSSEEEEEEEEEE
9514 1404 393
Answer:
(6, -3)
Step-by-step explanation:
The midpoint of a segment is the average of the end point coordinates.
F = (C + L)/2
F = ((0, 0) + (12, -6))/2 = (0+12, 0-6)/2 = (6, -3)
The fire station coordinates are (6, -3).
Contributions to the annual Grayson School fund raising campaign were 10% greater in 1984 than they were in 1983. In 1983, contributions were 15% greater than they were in 1982. If contributions for 1984 total $8855, what was the total in 1982?
Answer:
6774.075
Step-by-step explanation:
1984: 8855
1983: 8855*10/100=885.5
8855-885.5
7969.5
1982
7969.5*15/100=1195.425
7969.5-1195.425
6774.075
Help please 3(x+2)= I don’t know
Answer: 3x+6
Step-by-step explanation:
Noah spent some of his allowance on monday,1/8 of his allowance on Tuesday,1/8 of it on Wednesday and 2/8 of it on thursday.noah has none of his allowance money left.what fraction of his allowance did he spend on monday?explain
Answer:
Noah spent 4/8 of his allowance on Monday.
Step-by-step explanation:
Given that Noah spent some of his allowance on Monday, 1/8 of his allowance on Tuesday, 1/8 of it on Wednesday and 2/8 of it on Thursday, and has none of his allowance money left, to determine what fraction of his allowance did he spend on Monday the following calculation must be performed:
8/8 - (1/8 + 1/8 + 2/8) = X
8/8 - 4/8 = X
4/8 = X
Therefore, Noah spent 4/8 of his allowance on Monday.
13. (07.05 MC) What is the solution to the equation 5x + 2(x - 4) = 5x + x - 10? (1 point) O
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan
PLZ HELP PLZZZZZZZZZZ
Answer:
c i believe
Step-by-step explanation:
What might have happened if the Dodgers had not signed Jackie Robinson?
1. African Americans would not be allowed to play baseball anywhere
2. Willie Mays might not have played in the Major Leagues
3. The civil rights movement would not have happened
4. Segregation would not have ended
Answer:
1
Step-by-step explanation:
Its 1 because he was the first black baseball player in history of baseball im pretty sure.
(b) (7.5 x 10^5) - (8.6 x 10^4) + (2.7 x 10^3) +(1.4 x 10^4)
Answer:
680700
Step-by-step explanation:
this method can calculate more quickly
one glacier advanced 3.63 cm in 3 days. Another glacier retreated 5.75 cm in 5 days. If each glacier moved the same amount each day, which glacier is moving faster? justify your answer.
Answer:
glacier one is moving faster
Step-by-step explanation:
rate at which Glacier 1 is moving:
3.63 / 3 = 1.21 cm per day
rate at which Glacier 2 is moving:
5.75 / 5 = 1.15 cm per day
State the hypothesis and claim:
The expense of moving the storage yard for the consolidated Package Delivery Service is justified only if it can be shown that the daily average travel distance is less than 214 mi. In 12 trial runs the average distance was 198 mi with a standard deviation of 42 mi At a = .01 test the claim that the average daily travel distance is less than 214 mi.
the claim is _____. H0: ___ H1: ____
Answer:
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
Step-by-step explanation:
Step(i):-
Given that the size of the sample 'n' = 12
The mean of the Population = 214 miles
The mean of the sample = 198 miles
The standard deviation of the sample = 42 miles
Level of significance = 0.01
Step(ii):-
Null Hypothesis: H₀ : μ < 214 miles
Alternative Hypothesis :H₁: μ> 214 miles
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{198 -214}{\frac{42}{\sqrt{12} } }[/tex]
|t| = |- 1.319| = 1.319
Degrees of freedom = n-1 = 12 -1 =11
critical value [tex]t_{(0.005 , 11)} = 3.4966[/tex]
The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance
Null hypothesis is accepted
The average daily travel distance is less than 214 miles
Unrestrained growth of cells in a petri dish can be extremely rapid with a single cell growing into a number of cells given by the formula and parentheses T parentheses equals eight to the tea after T hours enter the formula for the number of cells in the petri dish on a culture started with 20 isolated sauce
6 is 30% of what number
Answer:
1.8
Step-by-step explanation:
Answer:
6 is 30 percent of 20 STEP 1 6 = 30% × Y
STEP 2 6 =
30
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:
STEP 3 Y = 6 ×
100
30
STEP 4 Y = 6 × 100 ÷ 30
STEP 5 Y = 20
Finally, we have found the value of Y which is 20 and that is our answer.
You can easily calculate a similar type of calculation by using any regular calculator, simply enter 6 × 100 ÷ 30 and you will get your answer which is 20
Step-by-step explanation:
BCD is a straight line.
ABC is a triangle.
Show that triangle ABC is an isosceles triangle.
Give a reason for each stage of your working.
Yes, Triangle ΔABC is an isosceles triangle.
What are the properties of Triangle?The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.We can prove that triangle ABC is an isosceles triangle using the fact that BCD is a straight line, and the angles of a triangle add up to 180 degrees.
First, we note that the angles of triangle ABC add up to 180 degrees:
∠ABC + ∠ACB + ∠BAC = 180 degrees
Since ∠ACD and ∠ACB are adjacent angles, we know that:
∠ACD + ∠ACB = 180 degrees
Substituting the value of ∠ACD (117 degrees) into this equation gives:
117 degrees + ∠ACB = 180 degrees
Simplifying, we get:
∠ACB = 63 degrees
Now we can rewrite the equation for the sum of the angles of triangle ABC as:
∠ABC + 63 degrees + ∠BAC = 180 degrees
Substituting the value of ∠ABC (54 degrees) and simplifying, we get:
∠BAC = 63 degrees
Since ∠ABC = ∠BAC, we have shown that triangle ABC is an isosceles triangle.
Reasoning:
The angles of a triangle add up to 180 degrees.Adjacent angles on a straight line add up to 180 degrees.Substituting the value of ∠ACD into the equation for adjacent angles on a straight line gives ∠ACB = 63 degrees.Substituting the value of ∠ABC and simplifying the equation for the sum of the angles of triangle ABC gives ∠BAC = 63 degrees.Since ∠ABC = ∠BAC, triangle ABC is an isosceles triangle.Learn more about triangles here:
https://brainly.com/question/2773823
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HELP PLEAESE IT EASY
is this graph a function?
Answer:
yessss my dear
I hope to help you
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 5% of the respondents did not provide a response, 26% said that their experience fell short of expectations, and 65% of the respondents said that their experience met expectations. (a) If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations
Answer:
0.04
Step-by-step explanation:
We are given that
The probability that the alumnus did not provide response=5%
The probability that the alumnus did not provide response=[tex]\frac{5}{100}=0.05[/tex]
The probability that the alumnus would say their experience fell short of expectations=26%=0.26
The probability that the alumnus would say their experience met expectations=65%=0.65
We have to find the probability that the alumnus would say their experience surpassed expectations.
We know that
Sum of all probabilities =1
Using the property
The probability that the alumnus would say their experience surpassed expectations=1-(0.05+0.26+0.65)
The probability that the alumnus would say their experience surpassed expectation=0.04
23
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (0, 5) and point (3, -1) rounded to the nearest tenth?
6.7 units
2.4 units
5.5 units
11.2 units
Distribute 28(2b + 1f + 1p)
Answer:
56b + 28f + 28p
Step-by-step explanation:
i think
3x2/5=6/5=
Please I need help with this problem
Answer:
1.2
Step-by-step explanation:
[tex]\frac{3x2}{5}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2
Answer: 6/5
Step-by-step explanation:
Please help me
Dionne builds a pattern that is represented by the equation b = 2f + 6, where f is the figure number
of the pattern and b is the number of blocks in each figure. How many blocks are needed to make
the 9th figure in the pattern?
Answer:
24 Blocks
Step-by-step explanation:
Hope this helps
Answer:
24 blocks
Step-by-step explanation:
Hope this helped
How do you Estimate the quotient of 1246 divided by 4
Answer:
See inside.
Step-by-step explanation:
Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.
If anyone understands this pls helpp me
Answer: D - Mr. Lopez and Mrs. Foster
Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class
8(1+2i)-(7-3i)=1+5i
What mistake did Daine make?
Answer:
He did not apply the distributive property correctly for 8(1 + 2i).
Step-by-step explanation:
A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What is the angle of depression from the top of the tower to the point on the ground where the cable is tied?
Answer:
angle of depression = 59.04 degrees
Step-by-step explanation:
tangent X = 30/50
tangent X = 0.6
x = 30.96 degrees
90-30.96 = 50.04 degrees
Answer:
Step-by-step explanation:
θ = arctan(50/30) ≈ 59°
What is the ninth term of the geometric sequence 81, 27, 9, 3, ... ?
Answer:
59049
Step-by-step explanation:
I calculated it and got 59049
Mrs law bought 1/2 of a cake. She cut it into 4 equal pieces. What fraction of the whole cake is each piece. A. 1/4. B. 1/2. C. 2/3. D. 1/8
Answer:
d
Step-by-step explanation:
Answer:
It would be d since its 1/2 and there asking for the whole cake
2 What is the meaning of each part of Carla's expression?
Answer:
you need to add Carla's expression or something for us to answer this question I can try to help if you add it
Step-by-step explanation:
have a good rest of your day tho :) ❤
Help me with this math please
Answer:
Step-by-step explanation:
2
the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot K, the stick number of K, denoted by stick (K), is the smallest number of edges of a polygonal path equivalent to K.
Write an expression that is equivalent to
5(a+3b)+6+8a+12
Answer:
13a+15b+18 is the answer hope it helps
Answer:
[tex]5(a+3b)+6+8a+12=13a + 15b + 18[/tex]
Step-by-step explanation:
Expanding rules (and rearranging) gives us that
[tex]5(a+3b)+6+8a+12\\= (5a + 15b) + 8a + (6 + 12)\\= (5a + 8a) + (15b) + (18)\\= 13a + 15b + 18[/tex]