Answer:
140 degrees.
Step-by-step explanation:
180-110 is 70. Bottom triangle is isosceles, meaning that the bottom left corner is also 70 degrees. The top angle in the bottom triangle is 180-70-70, 40. Flip it to the other side and the bottom angle of the top triangle is 40. Again, an isosceles triangle, so that the top left angle of the top triangle is also 40. 180-40 is 140.
Number 15. Solve for x
Billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet.
Billy noticed that several of his carrots had been eaten by some mischievous rabbits. Billy wants to build a fence around his circular garden to keep the rabbits out. How much fence would Billy need? Explain how you determined your answer. Show all your work.
Billy decides that next year he will make his garden a raised-bed garden. He plans to make a short wall of paving bricks all the way around the garden, then fill the space inside with fresh soil. If he makes the wall 1 foot high, what volume of soil will he have to purchase in order to fill the circle to the top of the bricks?
Answer:
Step-by-step explanation:
area=πr^2
so we need to find the area then divide by 8
so
we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
When a number is divided by 9, and the remainder is 6. What is the
remainder when six times this number is divided by 9?
Answer:
9x + 6
Step-by-step explanation:
SOLUTION GIVEN: a number is divided by 9 and the remainder is 6,
TO DETERMINE: The remainder when six times the number is divided by 9
EVALUATION: Here it is given that the number is divided by 9 & the remainder is 6
We know that Dividend = Divisor × Quotient + Remainder
By the given Divisor = 9
Remainder = 6
Let quotient = x
Then the number = Dividend = 9x + 6
using the fact that the black triangle represents the mean and/or the understanding of what a deviation is, explain why this balancing beam would stay balanced went to Blue circles are removed. Be thorough with your explanation and use Multiple sources of evidence
Answer: the left side is balanced with the right side
Step-by-step explanation:
Left side:
1 barrel (located at 2) is 1 unit from the fulcrum (triangle) → 1(1) = 1
2 barrels (located at 1) are 2 units from the fulcrum (triangle) → 2(2) = 4
1 barrel (located at 0) is 3 units from the fulcrum (triangle) → 1(3) = 3
Total = 8
Right side:
1 barrel (located at 6) is 3 units from the fulcrum (triangle) → 1(3) = 3
1 barrel (located at 8) is 5 units from the fulcrum (triangle) → 1(5) = 5
Total = 8
The distribution of the weight on the left side equals the distribution of weight on the right side so the beam is balanced.
Estimate the quotient for 5,738 divided by 21
Answer:
its 273 rounded but say 270
Step-by-step explanation:
The estimate is 270.
Write an inequality to represent the phrase: The sum of a number and 6 is no less than 31.
Answer
6+x=31 0r 6+ x = <31
Step-by-step explanation:
Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise.
Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.)
+393 +394 + 395
(a) 1+2+3+4+...+392
(b) 1+2+3+4
x
546 + 547 +548 + 549
(c) 2+4+6+8+...+76 + 78 + 80 +82
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.
(a) For the series 1+2+3+4+...+392:
Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.
(b) For the series 1+2+3+4...x:
To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).
(c) For the series 546 + 547 + 548 + 549:
Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.
The final answer for each part is:
(a) The sum of the series 1+2+3+4+...+392 is 77,028.
(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).
(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.
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just determine whether its positive or negative please
Cual es el perímetro de un rectángulo si tiene 20 de largo y 11 de ancho?
The perimeter of the rectangle is 62 square units.
How to find the perimeter of a rectangle?The perimeter of a rectangle can be calculated using the formula:
P = 2(L + W)
Where:
L is the length of the rectangle
W is the width of the rectangle
We have:
L = 20 units
W = 11 units
Substituting into the formula:
P = 2(20 + 11)
P = 2(31)
P = 62 square units
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Question in English
What is the perimeter of a rectangle if it is 20 long and 11 wide?
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
Suppose a city with population 100,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 19 years.
Answer:b
Step-by-step explanation:
trust it’s b
Fourteen is 6 less a number (n). Which equation shows this relationship?
Answer:
14 = n - 6
Step-by-step explanation:
"Is" indicates equal to. "Less" means subtract.
The equation that shows this relationship would be; 14 = n - 6.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
We have been given a statement "Fourteen is 6 less a number (n)."
So here, "Is" indicates equal to sign. "Less" means subtract.
The equation form would be;
14 = n - 6
The equation that shows this relationship would be; 14 = n - 6.
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Need help with proofs, anyone know how?
Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.
Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;
MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNSRead more on perpendicular bisectors here: brainly.com/question/19154899
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Complete Question:
The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.
NS and NS
NS and RS
MS and RS
MS and QS
Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression
Answer:
2x -18x +14y -19 = -16x +14y -19 . . . not the same
-2xy -1 . . . not the same
16x +14y -1 . . . not the same
9 -16x +14y -10 = -16x +14y -1 . . . equivalent
-16x +14y -1 . . . equivalent and simplified
2x -18x +14y -1 = -16x +14y -1 . . . equivalent
Step-by-step explanation:
Answer:
Takk fyrir
Step-by-step explanation:
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
What is 1 divided by3/4
Answer:
3/4
Step-by-step explanation:
it is 3/4 anything dividing one is itself
Algebraic expression for 4less then 3x
When 'x' is 5, the Algebraic expression 3x - 4 evaluates to 11.
To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.
First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.
Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.
In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.
To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:
3(5) - 4
This simplifies to:
15 - 4 = 11
So, when 'x' is 5, the expression 3x - 4 evaluates to 11.
In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.
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Note the complete question:
Algebraic expression for 4 less than the product of 3 and some number
What is the algebraic expression for "4 less than the product of 3 and some number?
Please help me understand the meaning of how to calculate.
The table and graph show the number of rabbits in a national park over an 18-year
I apologize, but it seems that the table and graph you mentioned did not come through in your message. Could you please provide the table and graph or describe the information in more detail? That way, I can assist you with your question.
rename the decimal numbers as a fraction. 1.0.15 2.0.37. 3.0.5 4. 1.38 5.0.4
Answer:
See image
Step-by-step explanation:
You put One-place decimals over ten and then simplify.
You put Two-place decimals over 100 and then simplify. See image.
Find the area of the shaded part of the trapezoid.
Step-by-step explanation:
All you have to do is to multiply the length times width times height to get the area. So its 6 x 20 x q1/4 ft = 30q. Hope this helps.
URGENT 50 POINTS
Which equation does the graph below represent?
Answer:
It is indeed y = -4x
Step-by-step explanation:
We see that for every increase of 1 in the x direction, y goes down 4.
Pay attention to the scales of the x and y axes.
Slope = rise/run
we rise -4 and run 1.
so the slope is -4/1 = -4
The y-intercept is at (0,0)
So the equation is y = -4x
A bus holds 39 passengers. How many buses will 420 people need
Answer:
11 buses
Step-by-step explanation:
use deductive reasoning to show that the following procedure always produces the number 8. procedure: pick a number. add 5 to the number and multiply the sum by 3. subtract 7 and then decrease this difference by the triple of the original number.
After using the deductive reasoning the procedure always produces the number 8.
Procedure:
Let the number be x.
We have to add 5 to the number x.
So the expression is x + 5.
We have to multiply the sum by 3.
Now the expression is 3(x + 5).
Now we have to subtract 7.
Now the expression is 3(x + 5) - 7.
Then we have to decrease this difference by the triple of the original number.
The triple of original number is 3x.
Now the expression is {3(x + 5) - 7} - 3x.
Now solving this expression
= {3(x + 5) - 7} - 3x.
First simplify the bracket
= 3x + 15 - 7 - 3x.
= 8
Now we can se that the after following the whole procedure the answer is 8.
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Simplify (3x - 5) - (5x + 1)
-2x + 6
-2x - 6
2x - 6
2x + 6
Answer:
Answer= -2x-6
Step-by-step explanation:
Rewrite and remove parenthesis
3x-5-5x-1
collect like terms, then calculate
-2x-6
Answer:
B. -2x - 6
Step-by-step explanation:
(3x - 5) - (5x + 1)
3x - 5 + 5x - 1
Then rearrange into the standard form
3x - 5x + 5 - 1
- 2x + 6
i tried to make an explanation but i am intellectually lacking and/or challenge, so as a result it doesnt match up with my result
How long will it take to triple a sum of money if it is invested at a rate of 6.25% compounded continuously? Round your answer to 2 decimal places.
Answer:
So the answer is approximately 18 years
Step-by-step explanation:
Your interest rate is 6.25%, or, 0.0625
A=P⋅(1+(r/n))^nt
Where:
P is the initial amount
r is annual rate of interest
t is number of years
A is the final amount of money
n is the number of times the interest is compounded per year
So
3P=P(1+0.0625)
3P=P (1.0625)^t
3=1.0625^t
Now we should use logarithmic functions.
ln(3)=t⋅ln(1.0625)
ln(3)ln(1.0625)=t
t=18.12 years
A shop gives an offer saying '20% discount on all products and if your bill amount (after the discount) is more than Rs 1000,
then you will get further discount of 20% on the bill amount).
Aditi buys goods worth Rs 2400 by marking price. What is the amount she needs to pay?
Answer:
Step-by-step explanation:
To calculate the amount Aditi needs to pay, we need to apply the discounts step by step based on the given offer.
Step 1: 20% discount on all products
The marked price of the goods is Rs 2400. Applying a 20% discount means she will get a reduction of 20% of the marked price.
20% of Rs 2400 = (20/100) * Rs 2400 = Rs 480
After the first discount, the new bill amount is Rs 2400 - Rs 480 = Rs 1920.
Step 2: Additional 20% discount on the bill amount if it exceeds Rs 1000
The new bill amount after the first discount is Rs 1920. If this amount exceeds Rs 1000, Aditi will get a further discount of 20% on this bill amount.
Since Rs 1920 is greater than Rs 1000, we can apply a 20% discount to it.
20% of Rs 1920 = (20/100) * Rs 1920 = Rs 384
The final amount Aditi needs to pay after both discounts is Rs 1920 - Rs 384 = Rs 1536.
Therefore, Aditi needs to pay Rs 1536.
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Choose the correct answer.
Answer:B
Step-by-step explanation:
6.2 = 2(short side). So 3.1 =short side. So then 6.2 + 3.1 + x = 14.5. Conining like terms we get 9.3 + x = 14.5 which is answer B
can anyone tell me what can i do with these mice baby ??
Answer:
i think you should raise them mice doesn't cut the clothes so and also they look too tiny to leave them
X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
Select the correct answer. What are the roots of this quadratic equation? 3x^2 + 10 = 4x
A.x=-4±6i√26
B.x=-2±i√26/3
C.x=2±i√26/2
D.x=2±i√26/3