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Lubov Fominskaja [6]
3 years ago
10

Calculate area of triangle

Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0

Answer:

60

Step-by-step explanation:

8x15=120

120/2=60

Radda [10]3 years ago
3 0

Answer:

60cm^2

Step-by-step explanation:

15 times 8 = 120

divided by 2  = 60

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Triangle ABC is a right triangle with mC = 90°, m B = 54°, and
rosijanka [135]

Answer:

YES

Step-by-step explanation:

YPU

5 0
3 years ago
PLEASE HELP‼️‼️Drag the expression that is the most reasonable measurement for each object.
Afina-wow [57]

Answer:

<em>A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters</em>

<em />

<em>B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters</em>

<em />

<em>C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers</em>

<em />

<em>D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers</em>

Explanation:

<u><em>A. Length of a tour bus.</em></u>

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10meters = 11 meters. Thus, this is a reasonable length.

<u><em>B. Width of an apple.</em></u>

The most appropiate unit to measure the width of an apple should be centimer. It certanly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4centimeters.

<u><em>C. Distance from Earth to a Satellite</em></u>

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is notreasonalbe (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

<u><em></em></u>

<u><em>D. Thickness of a human hair</em></u>

Of course, kilometers, meters, centimeters and even milimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ milimeters.

In the internet you can find that diameter of the humar hairis in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement fot the thickness of a human hair.

7 0
3 years ago
What's (6+5i)(6-5i) using the foil method
I am Lyosha [343]

Answer:

Step-by-step explanation:

Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\

8 0
3 years ago
(b-c)3 +(c-d) raise to3 3+(d-b)3
Juliette [100K]

Answer:3 b − 2 c− d , t o 3 , 3 + 3d − 3 b

Step-by-step explanation:

( b − c ) ⋅ 3 + ( c -d )  raise  t o  3   3 + ( d − b ) ⋅ 3

Write the problem as a mathematical expression.

( b − c ) ⋅ 3 +( c − d )  raise  t o3   3+ ( d − b) ⋅ 3

Remove parentheses.

( b − c) ⋅ 3 + c − d , t o 3 , 3 + ( d − b ) ⋅ 3

Simplify each term.

Apply the distributive property.

b ⋅ 3 − c ⋅ 3 + c− d

Move  3  to the left of  b . 3 ⋅ b − c ⋅ 3 + c − d

Multiply  3  by  − 1  ⋅ 3 b − 3 c + c − d

Add  − 3 c  and  c. 3 b − 2 c − d , t o 3 , 3 + ( d − b ) ⋅ 3

Simplify each term.

Apply the distributive property.

3 + d  ⋅ 3 − b  ⋅ 3

Move  3  to the left of  d . 3 + 3 ⋅ d − b ⋅ 3

Multiply  3  by  − 1 . 3 + 3 d − 3 b

4 0
3 years ago
the Hog's head pub decide to make mixture thst is 50% butterbeer. how much of an 80% butterbeer solution should mixed with 20 ga
evablogger [386]
There are 20 gallons of 20% butterbeer solution.
Assume there are x gallons of 80% solution.

So total amount of the solution will be (x+20) gallons
The final solution is 50%.

So, we can set up the equation as:

0.2(20)+0.8(x)=0.5(x+20) \\ \\ 4+0.8x=0.5x+10 \\ \\ 0.8x-0.5x=10-4 \\ \\ 0.3x=6 x=20.

Thus, there will be 20 gallons of 80% butterbeer solution that is needed to be mixed with 20 gallons of 20% butterbeer solution. 

4 0
3 years ago
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