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BlackZzzverrR [31]
3 years ago
6

Complete the sentence below with less than,

Mathematics
2 answers:
Gekata [30.6K]3 years ago
8 0

Answer: The Answer is "less than"

Step-by-step explanation:

To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.

For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.

For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.

10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.

Stella [2.4K]3 years ago
6 0

Answer:

"less than"

Step-by-step explanation:

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Pls help. !!!!!!!!!!!!!!!!!! (Give steps if you can)
kipiarov [429]

Answer:

144 cm^{2}

Step-by-step explanation:

<u>Step 1: Find the true length of each side</u>

We know that the perimeter is 56cm and the ratio of AD:AB:DC:BC is 5:12:6:5. It is safe to assume that this ratio is the simplified version, which means that if we multiply each of these numbers by a scale factor of x, then we get the true length of each side, so we would get 5x, 12x, 6x, 5x for the sides. We also know that when we add these numbers, we get the perimeter, which is 56. So, we can create the equation 5x + 12x + 6x + 5x = 56. Then, solve the equation for x, which would be 2, and go back and multiply each number with 2 to get the following:

AD = 5*2 = 10cm, AB = 12*2 = 24cm, DC = 6*2 = 12cm, BC = 5*2 = 10cm  

<u>Step 2: Calculate the Height</u>

Now we know the lengths of each side, lets take a look at the formula for the area of a trapezium: \frac{base_{1}  + base_2}{2}*height. So, the next step would be to calculate the height. We can draw the height by drawing a line straight down from the vertex D and another straight down from the vertex C. These lines are both the height, and will be the exact same length. We can calculate that the height is 8 because AB is 24 cm, but the length from the height at vertex D to the height at vertex C is 12 cm, so that means that the base of each triangle is 12/2 = 6 cm. Then we can use Pythagorean theorem to figure out that the height is 8cm.

<u>Step 3: Calculate the Area</u>

Lastly, we can calculate the area. The formula is \frac{base_{1}  + base_2}{2}*height. In this case, the numbers would be \frac{12 + 24}{2} * 8 = 144cm^{2}

I know this is a lot, so let me know if you have any questions!

6 0
1 year ago
A box contains 6 red and 5 blue marbles. Another box contains 5 red and 8 blue marbles. One box is selected at
dlinn [17]

Answer:

153\286

Step-by-step explanation:

A -box 1

B -box 2

B)- blue ball drawn

6 0
3 years ago
Which piece of additional information can be used to prove that △rst ~ △vut? rt = st 3st = ut ∠r ≅ ∠v ∠v ≅ ∠u
Sunny_sXe [5.5K]

The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

<h3>What is the similarity law for triangles?</h3>

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given two triangles:

Triangle RST and Triangle VUT

AS we can see Line segment RS and UV are parallel.

Which is crossed by a transversal RV.

The angle SRV = Angle RVU

Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ1

3 0
1 year ago
A rectangle has an area of 270m2.
Papessa [141]
X * 3 = 270
Solving for x, x = 90

So one side is 90m and the other is 3m.
Now find entire perimeter 90+90+3+3=180+6=186m
8 0
2 years ago
I need help with this question
Vikki [24]

Answer:

a) (1|4)

b) 3

c) 3

Step-by-step explanation:

the turning point is when the graph is at it's highest or lowest point, so here it is 1 for x and 4 for y. I'm not sure if i did b and c right but i think i did

8 0
3 years ago
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