identify the area of the trapezoid. options: 299cm^2 325cm^2 425cm^2 399cm^2
Answers
Answer:399
Step-by-step explanation:
((a+b)/2) * h
((13+25)/2) * 21
399
<!> Brainliest is appreciated! <!>
The formula is: (Top + Bottom)(height)/2
Therefore:
(13 + 25)(21)/2
= (38)(21)/2
= 798/2
= 399
Related Questions
The domain of 8(x) =
8
is:
4-
6-x
A. {x:**3}
B. {x:x*3 and 2 *6}
C. {x:**0}
D. {x:x*6}
E. {x:x*4 and *6}
Answers
A 34_46_37_3÷56×34÷77+34
Which set of algebra tiles represents the sentence below? Ada drove 2 fewer miles today than she drove yesterday. 2 boxes contain negative x and 1 box contains a plus sign. 1 box contains x and 2 boxes contain a minus sign. 1 box contains negative x and 2 boxes contain plus signs. 2 boxes contain x and 1 box contains a minus sign.
Answers
Answer:
The correct option is;
1 box contains x and 2 boxes contain minus sign
Step-by-step explanation:
Algebra tiles are used in teaching students algebraic concepts. The unit (small) tile represents the number one. The rectangular tile represents the variable x and the large square tile represents x²
The parameters given are;
Ada drove 2 fewer miles today than she drove yesterday, therefore;
Let X = number of miles Ada drove yesterday
We have number of miles Ada drove today = X - 2
Therefore, the correct option is 1 box contains x and 2 boxes contain minus sign
Answer:
its b
Step-by-step
i got it right on my test
The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.
Answers
Answer:
24
Step-by-step explanation:
Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse. As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10. 6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2. So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2. 6*8=48 and 48/2 = 24 which gives us our answer.
6.
(a) Pens cost 36 cents each.
Pencils cost 12 cents each.
(i) Write an expression for the cost of y pens.
Answers
Pens = 36y
Pencils 12y
This is because the cost of pens is 36 times however many pens you buy
The Sam Egeos for pencils except it’s 12 cents.
The hypotenuse of a right triangle is 9[tex]\sqrt{2}[/tex] cm, and the shorter leg is 9 cm. Find the length of the other leg.
Answers
Answer:
9 cm
Step-by-step explanation:
If you were to imagine this right triangle, you would find it to be a 45 - 45 - 90 triangle. Perhaps the " shorter leg " piece of information was present to trick you, considering that the legs are congruent by converse to base angle theorem.
How is this triangle a 45 - 45 - 90? In such a triangle, the legs can be posed as x cm, as the base angles are congruent ( 45 and 45 ), thus the legs of the triangle are congruent as well. The hypotenuse would be x√2, and as we can see -
If legs = x, Hypotenuse = x√2 = 9√2
Thus, the length of the other leg is 9 centimeters ( 9 cm )
Hope that helps!
Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of elevation 300 . When he moved 10 m towards the flag post the angle of elevation of the top of the flagpole increased to 450. What is the height of the flag pole?
Answers
Answer:
[tex]h = 15.163\ meters[/tex]
Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:
[tex]tan(30) = (h - 1.5) / x[/tex]
Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:
[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]
So rewriting both equations using the tangents values, we have that:
[tex]0.5774 = (h - 1.5) / x[/tex]
[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]
From the first equation, we have that:
[tex]x = (h - 1.5) / 0.5774[/tex]
Using this value of x in the second equation, we have that:
[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]
[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]
[tex]0.5774h + 4.9079 = h - 1.5[/tex]
[tex]0.4226h = 6.4079[/tex]
[tex]h = 15.163\ meters[/tex]
which of the following represents the factorization of the trinomial below? x^2+9x-22
Answers
Answer:
(x+11)(x-2)
Step-by-step explanation:
To factorise: x^2+9x-22
You must first divide the centre term in such a way that the sum of the 2 values will be divisible by x squared and minus 22 respectively.
So x^2+9x-22 = x^2 -2x + 11x - 22.
Now factorize x^2 - 2x and 11x-22 individually.
x^2 - 2x = x(x-2)
11x - 22 = 11(x-2)
Since these both have the same value in the brackets, use 5at one of the brackets and the other is the combination of them together:
(x+11)(x-2)
Hope this helps
Answer: (x + 11)(x - 2)
Step-by-step explanation: Since the constant term is negative, it can be factored as a positive times a negative.
Before we do that however, an x will go in the first position
of each binomial because x² breaks down into x · x.
Remember, the factors of the constant term
must add to the coefficient of the middle term.
So let's list out the factors of -22.
Factors of -22
+22 · -1
-22 · +1
+11 · -2
-11 · +2
Looking at the list above, that pair
of factors that add 9 is +11 and -2.
So our answer therefore is (x + 11)(x - 2).
Note that if you wrote your answer
as (x - 2)(x + 11), it means the same thing.
You have a wire that is 50 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum
Answers
Answer:
88.6647727273 cm²
Step-by-step explanation :
The perimeter of the square =(50/2)
= 25 cm
∴ Side of the square = (25/4)
= 6.25 cm
∴ Area of of the square = (6.25)²
= 39.0625 cm²
The circumference of the circle =(50/2)
= 25 cm
∴ 2πr = 25
⇒ r = 25/(22/7)(2)
Area of the circle = (22/7) { 25/(22/7)2} {25/(22/7)2}
= (25×25×7) / (2×2×22)
= 4365/88
= 49.6022727273 cm²
∴ Total area of the circle and the square =(49.6022727273+39.0625000000)
= 88.6647727273 cm²
Hope it helped
If yes mark BRAINLIEST!
There are eight marbles in a bag. Four marbles are blue (B), two marbles are red (R) and two marbles are green (G) Steve takes a marble at random from the bag. What is the probability that Steve will take a blue marble.
Answers
Answer:
1/2
Step-by-step explanation:
There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.
Answer:
1/2 or 50%
Step-by-step explanation:
Blue= 4, Red= 2, Green= 2
Total marbles= 8
P(B)= 4/8= 1/2 or 50%
HELP PLZZZZZZZZZZZ!!!!!!!
Answers
Answer:
A) 21/20
Step-by-step explanation:
Tangent = Opposite/Adjacent
Tan= Opposite/ adjacent
The ratio of adults to children at a cricket match is 7:3.
There 150 people at the match.
How many children attended the cricket match?
Answers
Step-by-step explanation:
Ratio of adults to children= 7:3
Total no. Of people at the cricket match:150
To find the value of the ratios, 7x+3x=150 ; 10x=150 ; x=150/10:15
So, 7:3 is 7(15) adults to 3(15) children,
Total no. Of adults: 105
Total no. Of children: 45
So, as per the question, the no. Of children that attended the cricket match is 45
Two cards are drawn in succession and without replacement from a standard deck of 52 cards. Find the probability that the second card is a face card if it’s known that the first card was a face card.
Answers
Answer:
The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497
Step-by-step explanation:
Total number of face cards = 12
Total cards = 52
Probability of getting face card on first draw=[tex]\frac{12}{52}[/tex]
Remaining no. of face cards = 11
Remaining number of total cards = 51
Probability of getting face card on second draw=[tex]\frac{11}{51}[/tex]
The probability that the second card is a face card if it’s known that the first card was a face card =[tex]\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497[/tex]
Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497
Juan y Luis deben pagar su deuda de suma 4500, si el triple de lo que debe Juan menos, lo que debe Luis asciende a 3500 ¿cuánto es la deuda de cada uno?
Answers
Answer:
donda esta laletcha
Step-by-step explanation:
hola
factor: (a+3)^2-a(a+3)
Answers
Answer:
Factor (a+3)2−a(a+3)
3a+9
=3(a+3)
Answer:
3(a+3)
I hope this help :)
Answer:
(a+3)(3)
Step-by-step explanation:
(a+3)^2-a(a+3)
(a+3)(a+3)-a(a+3)
Factor (a+3)
(a+3)(a+3-a)
(a+3)(3)
If the slope of the line joining the points (2k, -2) and (1, - k) be (-2), find k
Answers
Answer:
k=4/5
Step-by-step explanation:
(-k+2)/(1-2k) = -2 ( using the slope formula (y2-y1)/(x2-x1) )
-k+2 = -2 (1-2k)
-k+2 = -2 + 4k
2= -2 +5k
4 = 5k
k=4/5
Answer:
k = 4/5Step-by-step explanation:
To find k use the formula for finding the slope of a line and equate it to the slope which is - 2
So we have
(2k, -2) and (1, - k)
[tex] - 2 = \frac{ - k + 2}{1 - 2k} [/tex]
Cross multiply
That's
- 2( 1 - 2k ) = - k + 2
Expand and simplify
- 2 + 4k = - k + 2
Group like terms
4k + k = 2 + 2
5k = 4
Divide both sides by 5
k = 4/5
Hope this helps you
A tree casts a 25 m shadow when the angle of elevation to the sun is
40°. Approximately how tall is the tree?
25 m
A 25 m
B 19 m
C 21 m
D 16 m
Answers
Answer:
C. 21 m
Step-by-step explanation:
As shown in the picture, we need to use tan∅ (opposite over adjacent) to solve for the height of the tree:
tan40° = h/25
25tan40° = h
h = 20.9775
h ≈ 21 m
Two lines AB and CD intersect at O. If ∠AOC + ∠COB + ∠BOD = 270°Find the measures of ∠AOC, ∠COB, ∠BOD, ∠DOA.
Answers
Answer:
all are 90°
Step-by-step explanation:
Vertical angles are congruent, and linear angles are supplementary, so we have ...
∠AOC + ∠COB + ∠BOD = 270°
180° + ∠BOD = 270°
∠BOD = 90°
Since the lines cross at right angles, all of the angles are 90°.
Which statements are true about the rules of multiplication for signed numbers? Check all that apply
The product of two negative integers is positive
The product of two integers with different signs is positive
huo numbers are the same sign then the product is positive
The product of a positive and a negative is negative
the signs of two integers are difierent, then the product is positive.
Answers
Answer:
see below
Step-by-step explanation:
The product of two negative integers is positive
True -*- = +
The product of two integers with different signs is positive
False - *+ = -
Two numbers are the same sign then the product is positive
True -*- = + and +*+ = +
The product of a positive and a negative is negative
True - * + = - and + * - = -
The signs of two integers are different, then the product is positive.
False - * + = - and + * - = -
Answer:
acd
Step-by-step explanation:
Find the angle of one interior angle in this regular polygon, round your answer to the nearest tenth if possible.
Answers
Answer:
144°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 10, thus
sum = 180° × 8 = 1440°
1 interior angle = 1440° ÷ 10 = 144°
What is the slope of a line that is perpendicular to the line whose equation is y=45x−3 A. −45 B. −54 C. 54 D. 45
Answers
Answer:
B. -5/4
Step-by-step explanation:
We're going to assume that you don't mean
y = 45x -3
which has a perpendicular line with a slope of -1/45.
Rather, we're going to assume that you mean
y = 4/5x -3
so that the slope of the perpendicular line is -5/4.
__
Similarly, we're going to assume that the answer choices are supposed to represent fractions, so that the above slope matches choice B.
_____
If the slope of a line is m, the slope of the perpendicular line is -1/m. The reciprocal of a fraction is the fraction that has numerator and denominator swapped. -1/(4/5) = -5/4.
(-38)÷ ------- =not defined.fill in the blanks
please fill the answer
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
∞
▹ Step-by-Step Explanation
The answer is ∞ because anything divided by infinity is not defined.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
the probability of rolling a 6 on a biased dice is 1/5 1) complete the tree diagram. 2) Work out the probability of rolling two sixes.
Answers
Answer:
Step-by-step explanation:
Not 6 on all rolls in the diagram = 4/5
6 on all rolls in the diagram is 1/5
To find the probablity of rolling two sixes, 1/5 x 1/5 = 4/100 = 0.04 = 4%
1) The completed tree diagram is attached
2) The probability of rolling two sixes as worked out from the tree diagram is; P(6 | 6) = ¹/₂₅
Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;
P(not 6) = 1 - 1/5
P(not 6) = 4/5
A) Please find attached the completed tree diagram
B) First Roll;
P(6) = ¹/₅
P(not 6) = ⁴/₅
Second Roll;
Let's begin with the P(6) Section;
P(6 | 6) = ¹/₅ × ¹/₅ = ¹/₂₅
P(6 | not 6) = ¹/₅ × ⁴/₅ = ⁴/₂₅
Let us now solve for the P(not 6) section;
P(not 6 | 6) = ⁴/₅ × ¹/₅ = ⁴/₂₅
P(not 6 | not 6) = ⁴/₅ × ⁴/₅ = ¹⁶/₂₅
Now, since we are looking for the probability of getting two sixes, it is gotten from the above; P(6 | 6) = ¹/₅ × ¹/₅ = ¹/₂₅
Read more on; https://brainly.com/question/15981340
Please please help me. I'll give you the BRAINLIEST if correct! Given the equation A=250(1.1)^t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose the interest rate were to change to being compounded quarterly. Rewrite the equation to find the new interest rate that would keep A and P the same. What is the approximate new interest rate? Convert your answer to a percentage, round it to the nearest tenth, and enter it in the space provided, like this: 42.53%
Answers
Answer:
A=250(1+2.5)^4/12
Step-by-step explanation:
A=250(1+0.1)^t
compounded quarterly : divide the annual by 4 : 0.1/4=0.025 or 2.5%
2.5% every 3 month (quarterly), t=4/12 (quarterly)
the equation will be :
A=P(1+r/n)^t (p is the principal),r is the rate, n is the number of compounding , t is the time.
i hope it works, just try it
A=250(1+2.5)^4/12
Answer:
hi skkedklsk sn1. soosis
Please answer this fast in 2 minutes
Answers
Answer: (4,10)
Step-by-step explanation:
This is the answer because you would have to plug in everything into the midpoint formula and then solve for x2 and y2. Hope this helps! :)
Answer:
(4,10)
Step-by-step explanation:
5/8 divided by 4/5 plssss
Answers
Answer:
The correct answer is 25/32
Step-by-step explanation:
Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.
Upon saying that, we have:
5/8 ÷ 4/5 =
5/8 * 5/4 = (We use the inverse and not it is a multiplication)
25/32
The correct answer is 25/32
I don’t understand what this question says, please help :(
Answers
Answer:
a(15) = 131
Step-by-step explanation:
Explicit Arithmetic Sequence Formula: an = a1 + d(n - 1)
We are given a1 and d, so plug them in:
an = 5 + 9(n - 1)
To find the 15th term, plug 15 in for n:
a(15) = 5 + 9(15 - 1)
a(15) = 5 + 9(14)
a(15) = 5 + 126
a(15) = 131
Answer:
Step-by-step explanation:
d = 9 ----> d is common difference
[tex]a_{1} = 5\\\\[/tex] ----> first term
In arithmetic sequence, the difference between two terms is constant.
to find nth term,
[tex]a_{n} = a_{1} + (n-1)d\\\\a_{15} = 5 + 14*9\\\\ = 5 + 126\\= 131[/tex]
pleaseee help! i need the answer for x (look at picture)
Answers
Answer:
180 - 133
Step-by-step explanation:
Answer:
x = 47 degrees
Step-by-step explanation:
Solve for X:
x + 133 = 180
180 - 133 = 47
x = 47
On line A, each time x increases by 1 y increases by A) .5 B) 1 C) 1.5 D) 2
Answers
Answer:
b
Step-by-step explanation:
Write 3x 1/2 in radical form
Answers
Answer:
3x^1/2 in radical form is
[tex] \sqrt{3x} [/tex]
Hope this helps you
(x4- 4x2 + 5x - 1) = (x + 2)
Solve using remainder Therom
Answers
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Hi my lil bunny!
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Lets do this step by step.
Simplify: [tex](4x2 - 2x) - (-5x2 - 8x).[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~
Solution:
[tex](4x2 - 2x) - (-5x2 - 8x)= 4x2 - 2x + 5x2 + 8x.= 4x2 + 5x2 - 2x + 8x.= 9x2 + 6x.= 3x(3x + 2).[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~
Answer: [tex]3x(3x + 2)[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀