Answers
Answer:
[tex]area = \frac{1}{2} (base)(height) \\ area = \frac{1}{2} (35cm)(12cm) \\ area = \frac{1}{2} (420 {cm}^{2} ) \\ area = 210 \: {cm}^{2} [/tex]
The area of the triangle with height 12 cm and base 35 cm is A = 210 cm²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle is AB = 35 cm
The height of the triangle is BC = 12 cm
And , the area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
Area of the triangle A = ( 1/2 ) x 12 x 35
Area of the triangle A = ( 6 x 35 )
Area of the triangle A = 210 cm²
Hence , the area of the triangle is 210 cm²
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Related Questions
A single batch of cleaning solution contains 34 cup of bleach. How many cups of bleach are in 5 batches of the cleaning solution?
Answers
Answer:
there are 3.75 cups of bleach in 5 batches of the cleaning solution.
Step-by-step explanation:
What is the 11th term of 3,15,75,385
Answers
Answer:
3*5¹⁰Step-by-step explanation:
Given sequence:
3, 15, 75, 385, ...This is a GP with:
The first term of t₁ = 3Common ratio of r = 5The nth term is:
tₙ = t₁r°⁻¹The 11th term is:
t₁₁ = 3*5¹⁰i made a mistake its this question
Answers
find the value of m and give reasoning in the image below
Answers
Answer:
Step-by-step explanation:
By alternate interior angles, angle DCB = 109 degrees.
DCB and angle m are same side interior, so m = 180 - 109 = 71
work out the product of 1 2/3 and 3 3/4 give your answer as a mixed number
Answers
Step-by-step explanation:
first you convert 3 3/4 to an improper fraction
also convert 12/3to an improper fraction
3 3/4= 15/4
1 2/3=5/3
15/4 x5/3
=75/12
To mixed fraction it is 6 1/4
A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in the following table.
t h(t)
0 0
1 20
2 28
3 33
4 28
5 20
6 0
What is the rocket's average rate of change from 3≤t≤6 in yards/second?
Enter your answer as a number, like this: 42
GIVE ME THE RIGHT ANSWER
Answers
Answer:
-11 yd/s
Step-by-step explanation:
We basically have to the find slope between the given points
Let h(t)₁ = 0
h(t)₂ = 33
t₁ = 6
t₂ = 3
We have to find the change in distance (h(t)₁ - h(t)₂) then divide it by the change in x (t₁ - t₂)
6 - 3 = 3
This means the change of x is 3
0 - 33 = -33
This means the change in distance is -33
Now divide -33 by 3
-33 ÷ 3 = -11
A penguin swims underwater at a rate of 5.5 miles per hour. How long does it take the penguin to swim 44 miles?
Answers
Answer:
8 hours
Step-by-step explanation:
For this question you would use long division what's 44 divided by 5.5=8
5.5 x 1=5.5
5.5 x 2=11
5.5 x 3=16.5
5.5 x 4=22
5.5 x 5=27.5
5.5 x 6=33
5.5 x 7=38.5
5.5 x 8=44
Hope it helps! :)
PLEASEHELP!!!!!!!!!!!
Answers
The red arc is named "minor arc EF" or simply "arc EF". This is the shortest distance from E to F along the curve.
The measure of arc EF is 68 degrees as this is the central angle that subtends this same arc.
Consider a lottery game that is played by drawing five white balls out of a drum of 69 white balls (numbered 1–69) and one red ball out of a drum of 24 red balls (numbered 1–24). The jackpot is won by matching all five white balls in any order and the red ball.
(a) Find the possible number of winning numbers.
winning number(s)
(b) Find the possible number of winning numbers if the jackpot is won by matching all five white balls in order and the red ball.
winning number(s)
Answers
The order of selecting the balls is an illustration of permutation and combination
The possible number of winning numbers is 269724312The possible number of winning numbers in order is 32366917440The possible number of winning numbersThe given parameters are:
Total white balls = 69Total red balls = 24The possible number of winning numbers in any order is calculated using the following combination expression
[tex]n = ^{69}C_5 * ^{24}C_1[/tex]
This gives
[tex]n = 11238513* 24[/tex]
Evaluate the product
[tex]n = 269724312[/tex]
Hence, the possible number of winning numbers is 269724312
The possible number of winning numbers in orderWhen order is important, we make use of permutation.
So, we have:
[tex]n = ^{69}P_5 * ^{24}P_1[/tex]
This gives
[tex]n = 1348621560* 24[/tex]
Evaluate the product
[tex]n = 32366917440[/tex]
Hence, the possible number of winning numbers in order is 32366917440
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find missing side length ? pls ty
Answers
Answer:
a
Step-by-step explanation:
because for a 45-degree right triangle the two legs are the same and because the legs are sqrt 3, it is sqrt 6
Obi runs a distance of 400m in 40sec What is his average speed?
Answers
Explanation:
Average speed = Total distance/ total time
V = d/t
V = 400/40
= 10m/a
Answer:
[tex] \pink{ \mathbb{{SOLUTION:-}}}[/tex]
Given:-
Distance travelled=400 mTime taken=40secSpeed=?We know that;
[tex] \displaystyle{ \mathbb{SPEED = \frac{DISTANCE \: TRAVELLED}{TIME \: TAKEN} }}[/tex]
[tex] \displaystyle \mathbb{ = \frac{400 \: m}{40 \: sec} }[/tex]
[tex] \displaystyle{ \mathbb{ = 10m/s}}[/tex]
Helpp geometry and tell me how you solved it please
Answers
Answer: 38
Step-by-step explanation:
We know it's a parallelogram b/c there are 2 pairs of opposite parallel sides.
So this means that AB = DC = 9 and BC = AD = 10 since opposite sides of a parallelogram are congruent.
Meaning perimeter = 9 + 9 + 10 + 10 = 38
Please answer I will mark brainliest! It is for RSM…..
Answers
23) The proof that ΔRSU is congruent to ΔTUS is from; SAS Congruency theorem.
18) The proof that ΔHOW and ΔNEW are congruent is from; SAS congruency theorem.
What are congruent triangles?
23) We are given a rectangle RSTU with diagonal US.
Now, we are told that;
UR is parallel to ST
∠R and ∠T are right angles
We can say that for ΔRSU and ΔTUS, that US is equal to itself in both cases by the reflexive property of congruence.
Now, since ∠R and ∠T are right angles, it means that UR is equal to ST.
Thus for the two triangles;
UR = ST
US = US
∠R = ∠T
There are two corresponding equal sides and one corresponding equal angle and as such, ΔRSU and ΔTUS are congruent by SAS congruency postulate.
18) We are given that;
H O = EN
HW = NW
Now, since HN intersects OE at W, then we can say that;
∠HWO = ∠NWE (Alternate angles)
There are two corresponding equal sides and one corresponding equal angle and as such, ΔHOW and ΔNEW are congruent by SAS congruency postulate.
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Evaluate if x = 6, y = 8, and z = 3.
2(y-z)/ x-1
Answers
Answer: 2
Step-by-step explanation:
parenthesis goes first which is 8-3 (y-z) = 5. Next goes multiplication which is 2 times 5= 10. after is division which is 10 divided 6-1 (x-1). 6-1 is 5 so 10 divided 5 is 2
An item is regularly priced at $ 50. Milan bought it at a discount of 30% off the regular price. How much did Milan pay?
Answers
50 x 0.30
$15 off
50 - 15 = 35
help with this math question please!
Answers
x=-1 | y= 8
x=0 | y=1
x=1 | y=1/8
simply -3 3/4 divided by 2 1/2
Answers
Answer:
[tex]=-1\frac{1}{2}[/tex]
Step-by-step explanation:
Given the following question:
[tex]-3\frac{3}{4} \div2\frac{1}{2}[/tex]
In order to find the answer, we first convert the mixed numbers into improper fractions. Then we use KCF (Keep, Change, Flip) and solve.
[tex]-3\frac{3}{4} \div2\frac{1}{2}[/tex]
[tex]-3\frac{3}{4} =12+3=-\frac{15}{4}[/tex]
[tex]2\frac{1}{2}=2\times2=4+1=\frac{5}{2}[/tex]
[tex]-\frac{15}{4} \div\frac{5}{2}[/tex]
[tex]-\frac{15}{4} \times\frac{2}{5}[/tex]
[tex]15\times2=30[/tex]
[tex]4\times5=20[/tex]
[tex]=-\frac{30}{20}[/tex]
[tex]-\frac{30}{20} \div10=-\frac{3}{2}[/tex]
[tex]-\frac{3}{2}=3\div2=-1\frac{1}{2}[/tex]
[tex]=-1\frac{1}{2}[/tex]
Hope this helps.
Is triangle EJH congruent to triangle EIH?
Answers
Answer: yes
Step-by-step explanation:
Side JH and side HI are congruent and angle J and angle I are congruent so the two triangles are also congruent
The given two triangles EJH and EIH are congruent by the RHS congruency rule of two triangles.
Congruence of triangles:
If two or more triangles having same size and shape, then they are congruent to each other.
Every angle and sides are must be equal to each other and hence area is also equal.
How to show congruence in right angled triangles?
Here we have given that two triangles EJH and EIH, both are right angled triangles.
In any two right angled triangles having same hypotenuse and base side then they are congruent to each other by the RHS congruency
Here we have given side HJ ≅ side HI
∠EJH = ∠EIH = 90°
The common side EH is hypotenuse for both that is side EH = side EH
Therefore by RHS criteria these two triangles are congruent.
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$1750 is invested in an account earning 13.5% interest compounded monthly
for a 2 year period. What is the balance at the end of 9 years?
Answers
Answer:
1750=1750=
13.5%=0.13513.5%=0.135
a⋅(2year)=2ea2yra⋅(2year)=2ea2yr
9years=2ea2yr9years=2ea2yr
Step-by-step explanation:
☝️
Find the solution for x if |3 + 10x| = 23.
Answers
Answer:
x=2 and 2.6
Step-by-step explanation:
The required solutions for the given function |3 + 10x| = 23 are x = 2 and x = -2.6.
What is absolute value?Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.
The function is given in the question as:
|3 + 10x| = 23
To solve for x, we can begin by expressing the absolute value as a piecewise function:
|3 + 10x| = 23
(3 + 10x) = 23, if 3 + 10x ≥ 0
-(3 + 10x) = 23, if 3 + 10x < 0
If 3 + 10x ≥ 0, then 3 + 10x = 23, so x = (23 - 3) / 10 = 2.
If 3 + 10x < 0, then -(3 + 10x) = 23, so 3 + 10x = -23. This means that x = (-23 - 3) / 10 = -2.6.
Thus, the solutions for x are x = 2 and x = -2.6.
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Can I get help with these whisker plots?
Answers
Someone help pls need this answered in a few minutes T^T
Answers
Step-by-step explanation:
c² = a² + b² - 2ab cosC
or, c² = 22² + 27² - 2(22)(27) cos105
or, c² = 484 + 729 - 1188 (cos105)
or, c² = 1520.48
so, c = 38.99
so, c = 39 ft. approximately (missing side)
6. Gary has a rectangular painting that is 21 inches
wide and 36 inches long. He wants to place wire
in the shape of an X on the back of the painting
along its diagonals so that he can hang the
painting on the wall. Which is the best estimate
of the total amount of wire Gary will need?
42 inches
84 inches
57 inches
114 inches
Answers
Use Pythagorean theorem to solve for the diagonal of the rectangle, then multiply by 2 because it’s an X.
Need the answer ASAP!!!
Amy has $35.75 for her visit to the zoo. She must pay $7.25 for admission and wants to feed as many animals as she can. Food for the animals cost $1.25 each. What inequality represents the largest number of animal food that Amy can buy?
1.25x + 7.25 < 35.75
7.25x + 1.25 < 35.75
7.25x + 1.25 < 35.75
1.25x + 7.25 < 35.75
Answers
Answer:
1.25x + 7.25 < 35.75 is the answer.
There are respecting answer choices.
Hope this helps!
1) what’s the greatest common factor
35, 28
2) what’s the greatest common factor
36, 27
Answers
Answer:
GCF 35, 28 is 7
GCF 36, 27 is 9
Step-by-step explanation:
Greatest means biggest.
Common means same.
Factor means a number that goes evenly into the number. (3 goes into 27, so 3 is a factor of 27. 5 doesn't go evenly into 27, so 5 is not a factor of 27)
The biggest number that goes into both 35 and 28 is 7.
1, 5, 7, 35 are factors of 35.
1, 2, 4, 7, 14, 28 are factors of 28.
The biggest factor that's the same is the 7.
factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 27:
1, 3, 9, 27
The biggest same factor is 9
if jklm is a rectangle, find m
Answers
Answer:
Picture
Step-by-step explanation:
Can you add a picture because im sure I can find it out that way
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answers
Answer:
a, d, e
Step-by-step explanation:
use the formula for area of a circle ([tex]\pi[/tex][tex]r^{2}[/tex]) to get 162.78
Simplify the expression. (x2−3)(−x+1)
Answers
If 1/2 of the class is girls, and 4/5 of the girls in the class are wearing dresses, what fraction of the class are girls with dresses?
Answers
Answer:
0.3 0r 3/10
Step-by-step explanation:
4/5 - 1/2 = 3/10 = 0.3
HELP ME OUT PLEASE!!!!
Point P, located at (-3,-4), is reflected across the y-axis.
What are the coordinates of this point after this transformation?
O (3,-4)
O(3,4)
O (4,3)
O (-3,4)
Answers
Answer:
(3,-4)
Step-by-step explanation:
There is a graphing calculator called desmos that can help you answer questions like this, but, if you don't want to use that, you can just make a graph and imagine the transformation. Remember, when you reflect something over an axis, it is like you are folding the graph along the axis and your new point will be on the other side.
Answer:
(3,-4)
Step-by-step explanation:
The rule to follow for reflecting a figure across the y-axis is to take the original coordinate (x, y) and change it to (−x, y)