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USPshnik [31]
2 years ago
9

Herman is building a picnic table for a campground.The picnic table is 5feet 10inches long.Herman built the picnic table in 2 da

ys. The first day he worked for 3 hours 45 min. The second day he worked for 2 hours 10 min long. How long did it take to build the table.
Mathematics
1 answer:
Shtirlitz [24]2 years ago
4 0
The question gives you unneeded information to confuse you: the length of the table. Just ignore that for this question.

To figure out how long he worked, add the time he spent each day on the table.
He spent 3 hours and 45 minutes the first day and 2 hours and 10 minutes the second day

3 hours + 2 hours = 5 hours
45 minutes + 10 minutes = 55 minutes

Herman spent 5 hours and 55 minutes to build the table.
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What is the midpoint of the segment shown below?
poizon [28]

Answer:

It's D

Step-by-step explanation:

4 0
2 years ago
What is the length of the diagonal of the square shown below?
Usimov [2.4K]
Hey,here is the answer to ur question......!!!!
Since it is a square and all angles =90
Therefore to
Find length of the diagonal we have to use Pythagoras theorem....!
So, (AC)^2=(AB)^2+(BC)^2
=>(AC)^2=(11)^2+(11)^2
=>(AC)^2=121+121
=>(AC)^2=242
=>AC=root242
=>AC=11root2
=>length of the diagonal =11root2
Hope this helps u....!!!!
6 0
2 years ago
Read 2 more answers
Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge
dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

f(x)=ax^2+bx+c.

Then

1. f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;

2. f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;

3. f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.

Solve the system of two equations:

\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.

Then

22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.

Thus, the equation of the function is

f(x)=-\dfrac{1}{2}x^2+6x+2.

Note that

f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;

f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.

8 0
2 years ago
Read 2 more answers
Study the steps used to solve the equation. Given: StartFraction c Over 2 EndFraction minus 5 equals 7 Step 1: StartFraction c O
Bas_tet [7]

Answer:

  1. addition property of equality
  2. integers are closed to addition
  3. identity element
  4. multiplication property of equality
  5. commutative property of multiplication; reals are closed to multiplication; identity element

Step-by-step explanation:

<u>Given</u>:

  c/2 -5 = 7

  Step 1: c/2 -5 +5 = 7 +5

  Step 2: c/2 +0 = 12

  Step 3: c/2 = 12

  Step 4: 2(c/2) = 12(2)

  Step 5: c = 24

<u>Find</u>:

  The property that justifies each step of the solution.

<u>Solution</u>:

  Step 1: addition property of equality (lets you add the same to both sides)

  Step 2: integers are closed to addition

  Step 3: identity property of addition (adding 0 changes nothing)

  Step 4: multiplication property of equality

  Step 5: closure of real numbers to multiplication; identity property of multiplication

_____

It is hard to say what "property" you want to claim when you simplify an arithmetic expression. Above, we have used the property that the sets of integers and real numbers are closed to addition and multiplication. That is, adding or multiplying real numbers gives a real number.

In Step 5, we can rearrange 2(c/2) to c(2/2) using the commutative property of multiplication. 2/2=1, and c×1 = c. The latter is due to the identity element for multiplication: multiplying by 1 changes nothing.

Apart from the arithmetic, the other properties used are properties of equality.  Those let you perform any operation on an equation, as long as you do it to both sides of the equation. The operations we have performed in this fashion are adding 5 and multiplying by 2.

8 0
2 years ago
Read 2 more answers
In the figure, AngleRQS Is-congruent-to AngleQLK. 3 lines are shown. Lines S P and K N are parallel. Line R M intersects line S
stepan [7]

Answer:

x=108

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m∠RQS≅m∠QLK -----> by corresponding angles

m∠KLM+m∠QLK=180° -----> by supplementary angles (consecutive interior angles)

we have that

m∠RQS=x° ----> given problem

so

m∠QLX=x°

m∠KLM=(x-36)° ----> given problem

substitute

(x-36)\°+x\°=180\°\\2x=180+36\\2x=216\\x=108

3 0
2 years ago
Read 2 more answers
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