1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet-ann [11.9K]
3 years ago
11

you can see that there is 8 cm in middle of the trapezoid. above the trapezoid, it says 6 cm, below the trapezoid, it says 11 cm

. find the area of the trapezoid and answer this question in square cm.

Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

The measure of the longer base is:

                           9 centimeters

Step-by-step explanation:

We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:

Here we have:

The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.

i.e.  

Step-by-step explanation:

You might be interested in
Compute the number of ways to deal each of the following five-card hands in poker. 1. Straight: the values of the cards form a s
Elenna [48]

Answer:

The number of ways to deal each hand of poker is

1) 10200 possibilities

2) 5108 possibilities

3) 40 possibilities

4) 624 possibilities

5) 123552 possibilities

6) 732160 possibilities

7) 308880 possibilities

8) 267696 possibilities

Step-by-step explanation:

Straigth:

The Straight can start from 10 different positions: from an A, from a 2, 3, 4, 5, 6, 7, 8, 9 or from a 10 (if it starts from a 10, it ends in an A).

Given one starting position, we have 4 posibilities depending on the suit for each number, but we need to substract the 4 possible straights with the same suit. Hence, for each starting position there are 4⁵ - 4 possibilities. This means that we have 10 * (4⁵-4) = 10200 possibilities for a straight.

Flush:

We have 4 suits; each suit has 13 cards, so for each suit we have as many flushes as combinations of 5 cards from their group of 13. This is equivalent to the total number of ways to select 5 elements from a set of 13, in other words, the combinatorial number of 13 with 5 {13 \choose 5} .  However we need to remove any possible for a straight in a flush, thus, for each suit, we need to remove 10 possibilities (the 10 possible starting positions for a straight flush). Multiplying for the 4 suits this gives us

4 * ( {13 \choose 5} -10) = 4* 1277 = 5108

possibilities for a flush.

Straight Flush:

We have 4 suits and 10 possible ways for each suit to start a straight flush. The suit and the starting position determines the straight flush (for example, the straight flush starting in 3 of hearts is 3 of hearts, 4 of hearts, 5 of hearts, 6 of hearts and 7 of hearts. This gives us 4*10 = 40 possibilities for a straight flush.

4 of a kind:

We can identify a 4 of a kind with the number/letter that is 4 times and the remaining card. We have 13 ways to pick the number/letter, and 52-4 = 48 possibilities for the remaining card. That gives us 48*13 = 624 possibilities for a 4 of a kind.

Two distinct matching pairs:

We need to pick the pair of numbers that is repeated, so we are picking 2 numbers from 13 possible, in other words, {13 \choose 2} = 78 possibilities. For each number, we pick 2 suits, we have {4 \choose 2} = 6 possibilities to pick suits for each number. Last, we pick the remaining card, that can be anything but the 8 cards of those numbers. In short, we have 78*6*6*(52-8) = 123552 possibilities.  

Exactly one matching pair:

We choose the number that is matching from 13 possibilities, then we choose the 2 suits those numbers will have, from which we have 4 \choose 2 possibilities. Then we choose the 3 remaining numbers from the 12 that are left ( 12 \choose 3 = 220 ) , and for each of those numbers we pick 1 of the 4 suits available. As a result, we have

13 * 4 * 220 * 4^3 = 732160

possibilities

At least one card from each suit (no mathcing pairs):

Pick the suit that appears twice (we have 4 options, 1 for each suit). We pick 2 numbers for that suit of 13 possible (13 \choose 2 = 78 possibilities ), then we pick 1 number from the 11 remaining for the second suit, 1 number of the 10 remaining for the third suit and 1 number from the 9 remaining for the last suit. That gives us 4*78*11*10*9 = 308880 possibilities.

Three cards of one suit, and 2 of another suit:

We pick the suit that appears 3 times (4 possibilities), the one that appears twice (3 remaining possibilities). Foe the first suit we need 3 numbers from 13, and from the second one 2 numbers from 13 (It doesnt specify about matching here). This gives us

4 * 13 \choose 3 * 3 * 13 \choose 2 = 4*286*3*78 = 267696

possibilities.

7 0
3 years ago
Can you tell me what X=
mihalych1998 [28]

Answer:

x = 21 degrees!

Step-by-step explanation:

3x + x + 96 = 180

4x +96 = 180

Subtract 96 from both sides!

4x = 84

Divide by 4 from both sides!

x = 21 degrees

4 0
2 years ago
Read 2 more answers
QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
ivann1987 [24]

The required solution is ∠RQT =  202°  and ∠QTS = 51°

<h3 />

<h3>What is a cyclic quadrilateral?</h3>

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.

Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.

Now, the given circle has a cyclic quadrilateral QRST in which it is given that  ∠RQT =  202° and ∠QRS = 129°

Since,sum of the opposite angles of a cyclic quadrilateral =  180°  

⇒∠QTS + ∠QRS = 180°

⇒ ∠QTS  + ∠129° = 180°

⇒ ∠QTS = 180° - ∠129°

⇒ ∠QTS = 51°

Hence,the requires angles are ∠RQT =  202° and ∠QTS = 51°.

More about cyclic quadrilateral :

brainly.com/question/14323008

#SPJ1

5 0
1 year ago
Find the length of the third side. If necessary, round to the nearest tenth.47
IRISSAK [1]

Given a right angle triangle

The length of the legs are 4 and 7

we will find the hypotenuse using the Pythagorean theorem

So,

\begin{gathered} h^2=7^2+4^2=49+16=65 \\ h=\sqrt[]{65}\approx8.062 \end{gathered}

Rounding to the nearest tenth

So, the answer is the length of the third side = 8.1

3 0
10 months ago
Does (1, 0) make the equation y = 4x true?
Deffense [45]

Answer:

No

Step-by-step explanation:

4*1 = 4, not 0.

7 0
2 years ago
Other questions:
  • What is the exact circumference of a circle with a radius of 17 mm?
    7·1 answer
  • Can someone help me i dont really get it?
    12·2 answers
  • Five times the difference of twice a number and nine is negative five. Find the number.
    15·2 answers
  • Mindy and Troy combined 9 pieces of the wedding cake .Mindy ate three pieces of cake and Troy had 1/4 of the total cake
    14·2 answers
  • What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? Quadratic formula: x = x = x = x = x =
    8·2 answers
  • What is the answer to 4x-3=37
    5·2 answers
  • The measure of &lt;rate can be represented by the expression (6x+12).​
    7·2 answers
  • 12.x - 4<br> V<br> 10.x + 10
    7·1 answer
  • Pls pls pls pls pls a Help me
    8·1 answer
  • 2 EASY QUESTIONS HELP
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!