Answer:
length=70cm
width=7cm
Step-by-step explanation:
total ratio=10 + 1
=11
length(2)=10/11 x 154 cm
=10 x 14cm
=140cm
one length is 140 cm/2=70cm
width(2)=1/11 x 154cm
=14cm
one width is 14cm/2=7cm
The length and the width should be considered as the 70 cm and 7 cm.
Calculation of the length and width:Since
The perimeter of a rectangle is 154 cm.
The ratio of the length to the width is 10: 1.
So here total ratio=10 + 1
=11
Now length 2 should be
=10/11 x 154 cm
=10 x 14cm
=140cm
So,
one length is 140 cm/2=70cm
Now
width(2)=1/11 x 154cm
=14cm
And,
one width is 14cm/2=7cm
hence, The length and the width should be considered as the 70 cm and 7 cm.
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Read the paragraph. When young people are encouraged to take risks, they build confidence in their own decision-making skills and capabilities. Consider Winston, a ninth grader willing to try out for a varsity sport or a competitive performance band. He risks failure and personal embarrassment, but he learns the tryout process. He may also learn his personal strengths and shortcomings. Whether he is met with success or not, the risk-taking experience fosters self-reflection and growth. What central idea is explicitly stated in the paragraph? Young students should compete in varsity athletics. Students learn about themselves by taking risks. Students benefit from high-level competition. Young students are nervous during tryouts.
Answer:
B
Step-by-step explanation:
Based on the definition of a central Idea, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.
What is the central Idea in the paragraph?The central Idea of a paragraph is the main theme or topic which the reader is expected to learn or remember.
According to the paragraph, when young people are encouraged to take risks, it helps them build self-confidence.
Even though the results of taking such risks may not be successful, the young person gets to know more about his strengths and weaknesses.
Therefore, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.
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Please please help me I really need help please
Answer:
s = 25y + 85
Step-by-step explanation:
Answer:
s = 25y + 85Step-by-step explanation:
Initial number = 85Yearly added = 25Number of years = yTotal = sThe relationship is:
s = 25y + 85Need 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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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
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.
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?
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.
I'm having trouble with this problem
Answer:
the first and third should be the correct answer I hope this helps
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
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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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.
In ΔDEF, e = 49 cm, d = 73 cm and ∠D=52°. Find all possible values of ∠E, to the nearest degree.
Answer: 32
Step-by-step explanation:
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
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%
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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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.
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
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
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.
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
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
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
which expression has value of 15 when = 12?
[tex] \frac{18}{p} \: \: \: \: \: \: \: \: [/tex]
or
3p
or
18-p
or
p+3
someone please help me im failing math
Answer:
I think its 3p not sure but u can try that
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
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
A rectangle has sides of 3 cm and 5 cm. A similar
rectangle is dilated by a scale factor of 2. Find its
dimensions.
06 cm by 10 cm
01.5 cm by 2.5 cm
O2 cm by 3 cm
O2 cm by 2.5 cm
Answer: 6cm by 10cm
Step-by-step explanation: Any scale factor greater than one will increase the size or area of the shape. since 2 is greater than one multiply to find the new dimensions
Solve the system by substitution
2x + y = -14
y = -2x + 14
Answer:
Step-by-step explanation:
d
what is 41,250 written in scientific notation
Why is 41,250 written as 4.125 x 104 in scientific notation?
The sum of two numbers is 58. If there difference is 28, find both numbers
Answer:
y = 15
x = 43
Step-by-step explanation:
this is giving us a system of equations because we know two things:
x + y = 58
x - y = 28
take the second equation and format it where you have simplified it for one variable:
x = 28 + y
(we did this by adding y to both sides)
now substitute this new value of x into the first equation:
28 + y + y = 58
simplify this to get 2y = 30
divide both sides by 2: y = 15
now substitute your new value of y into the second equation:
x = 28 + 15
x = 43
please help me !!! :))))
Answer:
12.4 in
Step-by-step explanation:
I whish i can help :)
Answer:
13.6
Step-by-step explanation:
We can use the pythagorean therom since we know the 2 side leanths and solve for the longest side of the triangle which is the rectangle cut diagonally
11^2+8^2=c^2
121+64=c^2
185=c^2
√185= √c^2
13.6=c
Hope that helps !
