Answer:
3.52 m
Step-by-step explanation:
The question is not complete.
Let us assume XY = 1.35 m and YZ = 3.25 m.
If XZ is the longest side of the right-angled triangle (that is the hypotenuse), we can calculate XZ using the Pythagoras theorem.
The Pythagoras theorem state that the square of the hypotenuse side is equal to the sum of the square of the other two sides of the triangle.
That is for Triangle XYZ with XZ as hypotenuse:
XZ² = XY² + YZ²
Substituting:
XZ² = 1.35² + 3.25²
XZ² = 1.8225 + 10.5625
XZ² = 12.385
XZ = √12.385 = 3.5192
XZ = 3.52 m to 2 decimal places
divide 4^2/4^6
a. 4^-3
b. 4^3
c. 4^-4
d. 4^4
When dividing indices with the same base, the rule is to subtract the index of the denominator from the index of the numerator, and to keep the base the same.
In this case, the index of our denominator is 6, and the index of the numerator is 2.
2-6 = -4
The answer is [tex]4^{-4}[/tex].
Answer:
1) 4^-4
2) 1/256
Step-by-step explanation:
did on edge
Porfa ayuda :c t.t u.u
Answer: 40
ADE = 70 por suma de angulos interiores en triangulo ADE
En triangulos BDE y AED
AE=BE por dato
DE lado comun
AED= BED= 90
por tanto los triangulos son iguales por tener dos lados y el angulo comprendido respectivamente iguales
Luego ADE = BDE = 70 y AD=BD=BC por ser triangulos BDE y AED iguales
Luego triangulo BDC isosceles de base DC
ADE + BDE + BDC = 180 por suma de angulos consecutivos
BDC = 180 - 70 -70 = 40
Ф = BDC =BCD = 40 por ser angulos bases de un triangulo isosceles
what is 5,000,000 divided by 3? I'm trying to make it fair for everyone in the diamond casino heist
Answer: 1,666,666.666666667
Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line y where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. If mAngle6 = 123.5°, then mAngle1 is 56.5°. 67.5°. 123.5°. 136.5°.
Answer:
(A)[tex]56.5^\circ[/tex]
Step-by-step explanation:
From the diagram attached:
Angle 1 and Angle 6 are Co-Interior Angles.
The sum of co-interior angle is 180 degrees.
Therefore:
[tex]m\angle 1+ m\angle 6=180^\circ\\\\m\angle 6=123.5^\circ,$ therefore:\\m\angle 1+ 123.5^\circ=180^\circ\\m\angle 1=180^\circ-123.5^\circ\\m\angle 1=56.5^\circ[/tex]
The measure of angle 1 is therefore 56.5 degrees.
The correct option is A.
∠6 and ∠1 are same-side interior angles, m∠6 = 123.5°, therefore m∠1 will be: A. 56.5°
Recall:
Same-side interior angles are supplementary to each other. They add up to give 180°.The image showing the two parallel lines that is cut by a transversal creating angles is shown in the diagram attached below.
Given:
m∠6 = 123.5°
∠6 and ∠1 are same-side interior angles.
Therefore:m∠6 + m∠1 = 180°
Substitute123.5° + m∠1 = 180°
Subtract both sides by 123.5°m∠1 = 180° - 123.5°
m∠1 = 56.5° (Option A)
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An aeroplane covers a distance of 1500km in a certain time at a certain speed.After increasing the speed by 100km/hr, it covers the same distance in a time which is half an hour less than the previous time. Find the previous speed of the aeroplane.
this is from quadratic equations CBSE grade 10
please answer ASAP
Answer: U = 600 m/s
Step-by-step explanation:
Given that an aeroplane covers a distance of 1500km in a certain time t at a certain speed U.
After increasing the speed by 100km/hr, that is, V = U + 100 it covers the same distance in a time which is half an hour less than the previous time. That is t2 = t - 0.5.
From the first statement
Speed = distance/ time
Distance = speed × time
1500 = Ut
Make t the subject of the formula
t = 1500/U ..... (1)
From the second statement
Distance = speed × time
1500 = (U + 100) × ( t - 0.5 )
Open the bracket
1500 = Ut - 0.5U + 100t - 50
Collect the like terms
1550 = Ut - 0.5U + 100t .... (2)
Substitutes equation 1 into 2
1550 = 1500U/U - 0.5U + 100(1500/U)
1550 = 1500 - 0.5U + 150000/U
1550 - 1500 = (150000 - 0.5U^2)/U
Cross multiply
50U = 150000 - 0.5U^2
0.5U^2 + 50U - 150000 = 0
Divide all by 0.5
U^2 + 100U - 300000 = 0
Using completing the square method
U^2 + 100U = 300000
U^2 + 100U + 50^2 = 300000 + 50^2
(U + 50)^2 = 302500
U + 50 = sqrt(302500)
U + 50 = +/-(550)
U = 50 + 550 or 50 - 550
U = 600 or - 500
Since U is of the same direction, it is
positive. Therefore, the previous speed of the aeroplane is 600 m/s
Answer:
500km/hr
Step-by-step explanation:
The formula for Speed (km/hr) = Distance / Time
Where S = Speed
D = Distance
T = Time
S = D/T
From the question, the aeroplane covered a distance of 1500 km
S = 1500/ T
ST = 1500
Time taken( T ) = 1500/S ......... Equation 1
We are told from the question that speed was increases by 100km/hr, it covers the same distance in a time which is half an hour less than the previous time
This is expressed mathematically as:
The new speed =S + 100km/hr
The new Time taken = 1500/ S - 1/2....... Equation 2
Also since Time = Distance / Speed
The new Time taken also = 1500/ S + 100 ......... Equation 3
Step 1
We would simplify Equation 2:
Time = 1500/S - 1/2
Find the Lowest common multiple = 2
Time = (2 × 1500 - S )/ 2S
Time = 3000 - S / 2S ......... Equation 4
Step 2
Equate Equation 4 and 3 together since they are both equal to time taken
1500/ S + 100 = 3000 - S / 2S
We cross multiply
2S × 1500 = (S + 100) ( 3000 - S)
3000S = 3000S - S² + 300000 - 100S
3000S - 3000S + S² - 300000 + 100S = 0
S² + 100S - 300000 = 0
Step 3
We solve for S = Speed by using factorisation method.
S² + 100x - 300000 = 0
S² - 500S + 600S - 300000 = 0
(S² - 500S) + (600S - 300000) = 0
S(S - 500) + 600(S - 500) = 0
(S - 500) (S + 600) = 0
S - 500 = 0, S = 500
S + 600 = 0 , S = -600
Our answer cannot be in negative form, hence, the previous speed of the aeroplane = 500km/hr
Give me the answers to thissss plssss rnnnn asapppp!!!!
[tex]\\ 1. (3x ^{2} + 2xy + 7) - (6x ^{2} - 4xy + 3) \\ = 3x ^{2} + 2xy + 7 - 6x ^{2} + 4xy - 3 \\ = 3x ^{2} - {6x}^{2} + 2xy + 4xy + 7 - 3 \\ = { - 3x}^{2} + 6xy + 4 \\ 2. \: {9x}^{2} - 2x + 3 - ( {4x}^{2} + 7x - 5) \\ = 9x ^{2} - 2x + 3 - 4x ^{2} - 7x + 5 \\ = {9x}^{2} - {4x}^{2} - 2x - 7x + 3 + 5 \\ = {5x}^{2} - 9x + 8 \\ 3. \: {x}^{2} - 5x + 6 \\ = {x}^{2} - (3 + 2)x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer with step by step explanation
[tex](1)(3 {x}^{2} + 2xy + 7) - (6 {x}^{2} - 4xy + 3) \\ 3 {x}^{2} + 2xy + 7 - 6 {x}^{2} + 4xy - 3 \\ = - 3 {x}^{2} + 6xy + 4[/tex]
[tex](2)9 {x}^{2} - 2x + 3 - (4 {x}^{2} + 7x - 5) \\ 9 {x}^{2} - 2x + 3 - 4 {x}^{2} - 7x + 5 \\ = 5 {x}^{2} - 9x + 8[/tex]
[tex](3) {x}^{2} - 5x + 6 \\ {x}^{2} - 3x - 2x + 6 \\ x(x - 3) - 2(x - 3) \\ (x - 2)(x - 3)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
How many terms in
(3x^2-4x+2)-(2x^2-4x-5)
[tex]\text{Simplify:}\\\\(3x^2-4x+2)-(2x^2-4x-5)\\\\3x^2-4x+2-2x^2+4x+5\\\\x^2-4x+2+4x+5\\\\x^2+2+5\\\\x^2+7\\\\\boxed{\text{Two terms}}[/tex]
FInd the circumference of this circle:
Diameter - 32
π = 22/7
Answer:
The circumference of circle is 101 units.
Step-by-step explanation:
Given that the diameter of circle is 32 units so you have to find radius by dividing it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 32 \div 2[/tex]
[tex]radius = 16 \: units[/tex]
Next, we have to apply circumference formula, C = 2×π×r where r represents radius which is 16 units :
[tex]c = 2 \times \pi \times r[/tex]
Let π = 22/7,
Let r = 16,
[tex]c = 2 \times \frac{22}{7} \times 16[/tex]
[tex]c = 32 \times \frac{22}{7} [/tex]
[tex]c = \frac{704}{7} [/tex]
[tex]c = 101 \: units \: (3s.f)[/tex]
__________________________________
Hey!!
Solution,
Diameter=32
Radius=32/2=16
Circumference of circle=?
Now,
Circumference of circle=2 pi r
=2*22/7*16
=100.57
hope it helps...
Good luck on your assignment
_________________________________
simplify 6^7/6^5 leaving you answer in index form
Answer:
6²
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , thus
[tex]\frac{6^{7} }{6^{5} }[/tex] = [tex]6^{(7-5)}[/tex] = 6²
The answer is 6^2.
What is division?
Division is the process of splitting a number or an amount into equal parts.
here, we have,
6^7/6^5
we know,
a^m/a^n
=a^(m-n)
so, we get,
6^7/6^5
=6^2
hence, The answer is 6^2.
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Mark is making concrete. Concrete is made by mixing cement, sand and gravel in the ratio 1:2:3. Mark wants to make 600kg of concrete. How much sand does Mark need
Answer:
200 kg
Step-by-step explanation:
To satisfy the ratio 1:2:3, Mark must use 100 kg cement, 200 kg sand, and 300 kg gravel
Answer:
6 kg
Step-by-step explanation:
(help)Name the intersection of the two planes in the image below.
Answer:
XZ
Step-by-step explanation:
The intersection of the 2 planes is along the line XZ
The intersection of the two planes in the image below is along the line XZ.
What is a plane coordinate system?The intersection of the x-axis, the horizontal line, and the y-axis, the vertical line, creates a coordinate plane, which is a two-dimensional plane. The origin is the point at which these parallel lines cross one another.
A coordinate plane is a framework for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis.
In the given image there are two planes one is horizontal and the second is vertical they are intersecting at line XZ. The intersection of the 2 planes is along the line XZ.
Therefore, the intersection of the two planes in the image below is along the line XZ.
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What is the area of a rectangles with the side lengths 7/6 inches and 6/7 inches?
Answer:
1 in^2
Step-by-step explanation:
area of a rectangle=l*w
l=7/6
w=6/7
7/6 * 6/7 = 1
Find the distance between the points.
(5,-2),(-6,-2)
Please answer correctly !! Will mark brainliest !!!!!!!!!
Answer:
6 seconds
Step-by-step explanation:
h(x) = 0 m , when the ball is on the ground.
h(x) = - (x-2)² + 16
0 = - (x-2)² + 16
(x-2)² = 16
√(x-2)² = +/- √16
(x-2) = 4 , (x-2) = - 4
x - 2 = 4 , x = -2
x = 6
We can use only positive solution.
Which of the follow best represents the slip of the line?
A - 3
B -1/3
C 1/3
D 3
Answer:
B
Step-by-step explanation:
The slope is negative since the line decreases from left to right. This means that the slope is -1/3.
what is the greatest common factor of 8x*3-6x*2y*2+4x*2y and 2x*2
Answer:
Step-by-step explanation:
Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.
To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:
1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.
The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.
The prime factorization for each of the coefficients is as follows.
8: 2³
6: 2 · 3
4: 2²
We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.
Now, we look at our x variables and y variables.
For x, we have x³ and x². So, our GCF is x².
Our GCF is now 2x². Now, let's look at our y-variables.
We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².
EASY question for y’all mathy people. Easy points! Question in photo!
Answer:
B 1/7^2
D 7^-10 / 7^-8
Step-by-step explanation:
7^-2
We know that a^-2 = 1/a^2
1/7^2 = 1/49
We also know that anything with a power of 2 in the denominator is good
7^-8 / 7^-10 = 7^2
7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69 that is the second answer
Answer:
Step-by-step explanation:
Answers C and D are correct.
Note that in C we have 7^(-8)
---------- ,
7^(-10)
which is equivalent to 7^(-8 + 10), or 7^2, or 49.
what is the area of the circle?
Answer:
Area =28.27
Step-by-step explanation:
Answer:
The area of circle:
[tex]A \approx 28.27[/tex] [tex]m^2[/tex]
Step-by-step explanation:
To find the area of circle, you need this formula:
[tex]A = \pi r^2[/tex]
-After have the formula set up, use the given radius for the formula:
[tex]A = \pi 3^2[/tex]
-Then, you solve:
[tex]A = \pi \times 3^2[/tex]
[tex]A = \pi \times 9[/tex]
[tex]A = 9\pi \approx 28.27[/tex] [tex]m^2[/tex]
-So, the area of a circle is [tex]28.27[/tex] [tex]m^2[/tex] .
what is the slope of this line graphed below?
Answer:
The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Step-by-step explanation:
make sure you mark me as briliest
Answer:
D. 2
Step-by-step explanation:
point on the graph:
(0, -5) and (3, 1)slope is
m= (y2-y1)/(x2-x1)= (1+5)/(3-0)= 6/3= 2slope is D. 2
Find the equation of the line shown.
Answer:
see below
Step-by-step explanation:
From the graph the slope is -1 and the y-intercept is 9. Therefore we can use slope-intercept form (y = mx + b) which will be y = -x + 9.
AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP
Answer:
Question (8). m∠1 = 142°
m∠2 = 300°
Question (9). m∠1 = 73°
m∠2 = 82°
Step-by-step explanation:
Question (8). m∠1 + 38° = 180° [Supplementary angles]
m∠1 = 180 - 38
m∠1 = 142°
m∠x = 38° [Alternate interior angles]
m∠y = 22° [Alternate interior angles]
Now, m∠2 = 360° - (m∠x + m∠y)
= 360° - (38 + 22)°
m∠2 = 300°
Question (9). m∠RMN + 98° = 180°
m∠RMN = 180 -98
= 82°
m∠RMN = m∠ARM = 82°
m∠2 = 82°
m∠SNM = 73° [Vertical angles]
m∠SNM = m∠OSR = 73°[Corresponding angles]
m∠1 = 73°
What is the solution to the system of equations graphed below?
y= 3/2x+2
y=-6x+ 32
Answer:
(4,8)
Step-by-step explanation:
The solution is where the two lines intersect.
The graphs intersect at x=4 and y = 8
(4,8)
Answer: B: (4,8)
Step-by-step explanation:
y = 3x +2 you will go to positive to on the graph and go up 3 and to the right two because it is positive until you can't no more.
y = -6x + 32
you will go to +32 on the graph and then go down six and since there is no number under -6 you will replace it with one so it will look like this -6x/1
The average of 2, 3, and what number is 10?
Answer:
the average number of 2 and 3 is 2.5 and 10 is an integer
Step-by-step explanation:
Which is the equation in slope-intercept form of a line that contains points D and E?
Answer:
y=1x
Step-by-step explanation:
theirs no b because it goes through (0,0)
to find slope you do 2-4 over 2-4 and it equals 1
hope this helps:)
i need help quick please help me thnak you
Answer:
28 numbers
Step-by-step explanation:
There is a distance of 81 between -0.5 and 80.5. Divide this number by 3, since you are only counting every third number and you will get 27, but you need to count the first number, which has been excluded. Add one more to get the answer, 28.
Using the following image, solve for x x .
Answer: x= 6
Step-by-step explanation:
2 +x + 1 = 2x -3
1x + 3 = 2x -3
+3 +3
1x + 6 =2x
-1x -1x
6= 1x
x= 6
a car drives at 45 km for 3 hours . how far does the car travel
Answer:
135 km
Step-by-step explanation:
I assume by 45 km you mean 45 km/h so all you have to do is 45x 3 since the car was driving for 3 hrs.
Answer:
The car traveled 135 kilometres!
Step-by-step explanation:
Here you have to do the speed (45km/h) multiplied by the time (3 hours)
45 x 3 = 135
So the car has traveled 135 kilometres!
HOPE THIS HELPS!!
Mark me brainlest!
Ix
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-8)
6+(-8)
6 + 8
Answer:
6 + 8
Step-by-step explanation:
6-(-8)= 6+8
3. If A = {2, 4, 6, 8}, B = {1, 3, 5, 7), find A UB.
A U B={ 1,2,3,4,5,6,7,8}
Solution,
A={2,4,6,8}
B={1,3,5,7}
A U B={ 2,4,6,8} U{1,3,5,7}
={1,2,3,4,5,6,7,8}
Hope it helps
Good luck on your assignment
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?
Answer:
Large box = 31/2 = 15.5 kgs
Small box = 27/2 = 13.5 kgs.
Step-by-step explanation:
Let x be large box
Let y be small box
5x + 3y = 118
5x = 118 - 3y
x = 118/5 - 3/5y
2x + 12y = 193
2(118/5 - 3/5y) +12y = 193
y = 27/2 = small box
Large box
5x + 3(27/2)=118
x = 31/2 = large box
