A school track is shown. 1000 m 74 m The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What is the distance, in meters, around the entire track? Use the a button on your calculator and express your answer to the nearest hundredth. The distance is meters.
Answer:
You have Rs 2,400 in your account and the interest rate is 5%. After how many years
would you earn Rs 240 as interest.
Step-by-step explanation:
Distance around entire school track = 2232.48 meters
What is perimeter?In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.
Given,
Straight length of the track = 1000 meters on each side
total straight length = 2 × 1000 = 2000 meters
Curves are semicircles on each side having diameter of 74 meters
which makes a complete circle
Perimeter of circle = π × diameter
= π × 74 = 232.477856 meters
Total distance in meters = 2000 + 232.477856
= 2232.477856
Hence, 2232.48 meters is the total distance around the entire track.
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Sara was making a cookies and she needs ½ cup of Chocolate chips and 2/3 cup of sugar. She accidently put in 1 cup of sugar. How many cups chocolate chips does she need now?
Answer:
3/4 cups of Chocolate chips is needed
Step-by-step explanation:
Sara was making a cookies and she needs ½ cup of Chocolate chips and 2/3 cup of sugar. She accidently put in 1 cup of sugar. How many cups chocolate chips does she need now?
From the above question:
2/3 cup of sugar = ½ cup of Chocolate chips
1 cup of sugar = x
Cross Multiply
2/3 cup of sugar × x = ½ cup of Chocolate chips × 1 cup of sugar
x = ½ cup of Chocolate chips × 1 cup of sugar/ 2/3 cup of sugar
x = 1/2 ÷ 2/3
x = 1/2 × 3/2
x = 3/4 cups of Chocolate chips
Therefore, for 1 cup of sugar , 3/4 cups of Chocolate chips is needed
what is 41,250 written in scientific notation
Why is 41,250 written as 4.125 x 104 in scientific notation?
Is (1, 4) a solution to this system of equations? 3x + y = 7
3x + 3y = 15
A. N o, (1, 4) is not a solution.
B. Yes, (1, 4) is a solution.
I'm having trouble with this problem
Answer:
the first and third should be the correct answer I hope this helps
A box contains 1 3/4 cups ponds of pancake mix. Jada used 7/8. What fraction of the pancake mix in the bow did she use?
The relationship “3 students out of 5 students" is an example of
Answer:
3/5
Step-by-step explanation:
It is an example of 3/5ths of a students
The relationship “3 students out of 5 students” is an example of a Fraction.
What is a fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given a statement, 3 students out of 5 students;
This can be written as 3/5 which describes a fraction.
Hence, The given relationship is an example of fraction.
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Gloria and her 3 friends will share a pizza equally.
Which fraction shows the portion of the pizza
each person will receive?
A. 1/4
B.1/3
C.3/8
D.3/4
its A cause each person gets one slice of pizza and u have to include Gloria.
hope it helped
Evaluate the expression 5k2 - 7k when k = 3
Answer:
24
Step-by-step explanation:
In this question, you have to solve by plugging in the value to the "k" variable and solve.
Solve:
5(3)^2 - 7(3)
3^2 = 9
5(9) - 7(3)
45 - 7(3)
45 - 21 = 24
Your final answer would be 24.
Answer:
24
Step-by-step explanation:
5(3)^2 - 7(3)
5(9) - 21
45 - 21
24
If (2x + 4) - (x + 3) = 15, then x =
Answer:
x=14
Step-by-step explanation:
A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson helped you select a new jacket that was originally 90$. He eared 5.76$ commission on this sale. What percentage of the original jacket price did the salesperson earn
Answer:
5.18%
Step-by-step explanation:
5.76 x 100 = 576
576 ÷ 100 = 5.184
5.184 = 5.18%
A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? Be sure to round your answer to the nearest hundredth.
Answer: 17.82
Step-by-step explanation:
1.15 x 15.50 = 17.825
17.825 rounded to the nearest hundreth is 17.82
Please help me with this geometry problem, tysm
9514 1404 393
Answer:
x = 6∠NBS = 68°Step-by-step explanation:
The sum of the two adjacent angles is equal to the angle that includes both.
∠NBS +∠SBR = ∠NBR . . . . . angle sum theorem
(12x -4) +42 = (17x +8)
30 = 5x . . . . . . . . . . . . . . subtract 12x+8
6 = x . . . . . . . . divide by 5
__
Then the measure of ∠NBS is ...
∠NBS = 12x -4 = 12·6 -4
∠NBS = 68 . . . . degrees
At 4:00 AM, the temperature is – 12 ·F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?
Answer:
-18
Step-by-step explanation:
Answer:
6 degrees F
Step-by-step explanation:Since it was at 12 and it was 4 am.Going down 3 degrees by the hour and it six do 12-3-3.
compare between x=ab+1 and y=a+b
Answer:
[tex]y = a + b \\ a = y - b = = = > (i) \\ x = ab + 1 \\ x = (y - b)b + 1 \\ x = yb - {b}^{2} + 1 \\ yb = x + {b}^{2} - 1 \\ y = \frac{1}{b} (x + {b}^{2} - 1)[/tex]
Answer:
ab=x-1
a=y-b
x-1=(y-b)b
X-1/y-b=b
Solve the proportion: x/42 = 3/7
Answer: x=18
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 7.
Could anyone help me on this question?
Answer:
it A ;)
Step-by-step explanation:
the quadratic function f(x)=x^2-8x-4.
Answer:
f(x)=(x-4)^2-20
Step-by-step explanation:
hope this helps!
find y when x=4, if y=7 when x=14
Answer: y = 2 when x = 4
i looked for a correlation in the given problem, and i realized that "y" will equal half of whatever "x" equals. so when x = 4, y = 2.
how do you put this into a decimal equivalent
8 4/9=
Answer:
8.44444444444
Step-by-step explanation:
hope this helped
Answer:
8.44!!
Step-by-step explanation:
hope this helps!!
Love: Deku <3
Jeremy stores DVDs on a bookshelf in his living room. If the bookshelf has 6 shelves, and a maximum of 33 DVDs can fit on each
shelf, what is the maximum number of DVDs Jeremy could store on the bookshelf?
OA. 298
ОВ.
198
OC.
178
OD. 208
Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x-2y)
Answer:
[A] x² + 2x
[B] 2x² - 5x
[C] 6x² + 8x
[D] 6x² - 12xy
Explanation:
x(x + 2)Apply Distributive Law: a(b + c) = ab + ac
x(x + 2) = xx + x · 2
Simplify:
x² + 2x
x(2x - 5)Apply Distributive Law: a(b - c) = ab - ac
x(2x - 5) = x · 2x - x · 5
Simplify:
2x² - 5x
2x(3x + 4)Apply Distributive Law: a(b + c) = ab + ac
2x(3x + 4) = 2x · 3x + 2x · 4
Simplify:
6x² + 8x
6x(x - 2y)Apply Distributive Law: a(b - c) = ab - ac
6x(x - 2y) = 6xx - 6x · 2y
SImplify:
6x² - 12xy
- Pacific Northwest
Determine whether the paired values represent a proportional relationship.
(-2,-4).(-1, - 2).(1, 2).(2, 4)
Answer:
(-1,-2) is the correct one but they all are the same
Carl is having a party. He has bought 24 brownies and is making 6 more batches of brownies. The inequality below can be used to determine how many brownies, b, must be in each batch so that all 138 guests get at least 1 brownie. Determine which of the given values, if any, make the inequality true: b=10, b=15, b=20 *
Answer:
b = 20
Step-by-step explanation:
The computation is shown below
Given that
24+ 6b > 138
where
b = 10
b = 15
b = 20
So if we take b = 10
= 24 + 6(10)
= 24 + 60
= 84
B = 15
= 24 + 6(15)
= 24 + 90
= 114
B = 20
= 24 + 6 (20)
= 24 + 120
= 144
So if we take b = 20 the inequality would be true
At 4:00 AM, the temperature is 12 F. If the temperature drops 3 F per hour, what will the temperature be at 6:00 AM?
Answer:
6F
Step-by-step explanation:
it is 6 f because at 4:00 a.m. it is 12 f and it drops 3 per hour and I know that 4:00 a.m. to 6:00 a.m. is 2 hours and 2 times 3 is 6 and 6 minus 12 is 6
Need help with these two questions
31.
Given: AB || DC , AD || BC
Prove: ΔABC ≅ ΔCDA
Statements Reasons
1. AB || DC 1. Given
2. ∠BAC ≅ ∠DCA 2.
3. AD || BC 3. Given
4. ∠ACB ≅ ∠CAD 4.
5. AC ≅ AC 5.
6. ΔABC ≅ ΔCDA 6.
Answer:
i dont know if this is right but i put
31)
2. alternate angles
4. alternate angles
5. reflexive property
6. ASA
32)
1. DEC, EDC, DC
2. AAS
3. def. of congruent triangles
4. ACE
5. def. of isosceles triangle
If AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that AB || DC and AD || BC
We need to prove that ΔABC ≅ ΔCDA.
Which means ΔABC is similar to ΔCDA.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
1. AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
Hence, AB || DC by Given
2. ∠BAC ≅ ∠DCA because these are alternate angles.
3. AD || BC by given
4. ∠ACB ≅ ∠CAD because these are alternate angles.
5. AC ≅ AC by reflexive property.
6. ΔABC ≅ ΔCDA by ASA property of triangle.
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Find the value of "c". 4c + 18 = 74 *
[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
Solve the system by substitution
2x + y = -14
y = -2x + 14
Answer:
Step-by-step explanation:
d
in the trepezium,a=7cm,b=10.4cm and h=6.7cm.work out the area of the trepezium.
Answer:
58.29
Step-by-step explanation:
1/2 × (7+10.4) × 6.7
= 58.29
PLZZZ HELP U WILL ALSO GET POINTS DUE TODAY AND I WILL GIVE U BRAINLIEST IF CORRECT
Answer:
your answer would be 3/10.
Step-by-step explanation:
you divide both 9/30 by 3
Answer:
3/10
Step-by-step explanation:
The first step is to find the greatest common factor, in this case it's 3.
Then divide the 9 by 3, which is 3.
Next you divide 30 by 3 which is 10
When simplifying a fraction you don't flip the numerator and denominator, so you put the simplified values in their places and you get 3/10.
