what is 358.21 rounded to the nearest hundreth?
Answer:
358.2
Step-by-step explanation:
thats the answer because .21=.2
After some snacks at McDonalds at Lower Bonifacio Street, Kristina drove 145 meters towards the three-way junction and turns right to reach a nearby church around Rimando Road. If the displacement between the church and McDonalds is 191.442 meters, how far did Kristina travel from the three-way junction to the church?
Answer:
125 m
Step-by-step explanation:
The path of Kristina is in the shape of a right triangle where, the perpendicular is the path from the McDonalds to the three-way junction which is 145 m and the shortest distance between the McDonalds and the church is 191.442 m.
By Pythagoras theorem
[tex]145^2+x^2=191.442^2\\\Rightarrow x=\sqrt{191.442^2-145^2}\\\Rightarrow x=125\ \text{m}[/tex]
Christina had to travel 125 m from the three-way junction to the church.
The distance Kristina travelled from the three-way junction to the church is; x = 125 meters
We are told that she drove 145 meters towards the three way junction. She now turned right to reach a nearby church around rimando road.
This means that if the distance at which she turned right is x, then x is perpendicular to 145 m.
Now, we are told that the displacement between the church and McDonalds is 191.442 meters.
The displacement means the distance from the final position to the initial position. Thus, there will form a right angled triangle with 191.442 as the hypotenuse.
Using Pythagoras theorem, we have;
x² + 145² = 191.442²
x² = 191.442² - 145²
x² = 15625.039364
x = √15625.039364
x = 125 meters
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Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.
Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.
What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
Answer:
(0,0.5)
Step-by-step explanation:
Trust me, it's from Khan Academy
In order to add or subtract matrices, what requirement must the matrices have?
Answer:
The must have the same dimension
Step-by-step explanation:
Two matrice may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns.
When we add 2 matrices the matrices should be of the same size and same dimension
A matrix is referred to as the collection of numbers or variables arranged in a set of rows and columns, where each number or variable is referred to as an "element".
In order to perform addition or subtraction on matrices, they must be of the same size and dimension ie. two matrices must have an equal number of rows and columns. Simply add or subtract the numbers in each corresponding position of the first matrix with the number in the same position of the second matrix. The sum of two matrices A and B will be a matrix that has the same number of rows and columns as A and B. The sum of A and B denoted A + B, is computed by adding corresponding elements of A and B
A=[tex]\left[\begin{array}{ccc}a1&a2\\a3&a4\end{array}\right][/tex] B=[tex]\left[\begin{array}{ccc}b1&b2\\b3&b4\end{array}\right][/tex]
A+B=[tex]\left[\begin{array}{ccc}a1+b1&a2+b2\\a3+b3&a4+a5\end{array}\right][/tex]
To learn more about Matrices
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Solve the literal equation
X= (a+b+c)/(ab)
for a.
Answer:
a = (b + c)/(bx - 1)Step-by-step explanation:
Given
x= (a+b+c)/(ab)Solving for a
x = (a + b+ c)/(ab)abx = a + b+ cabx - a = b + ca(bx - 1) = b + ca = (b + c)/(bx - 1)Determine o valor do termo representado pela incógnita nas proporções a seguir.
a) x6= 32
b) 15= 4y
c) 2x+39= 57
Me ajudem pelo amor de deus
Answer:
a. x6= 32
x = 32/6
x = 5.33
b. 15 = 4y
4y = 15
y = 15/4
y = 3.75
c. 2x+39= 57
2x = 57 - 39
x = (57 - 39)/2
x = 9
2. If mZ1 = 71 degrees, find the measure of the other 7 angles.
The measure of the other 7 angles are;
m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8 = 71°; m∠6 = m∠7 = 109°
We are given;
m∠1 = 71°
Thus;
m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°
Thus; m∠1 + m∠2 = 180°
71 + m∠2 = 180°
m∠2 = 180 - 71
m∠2 = 109°
Now, m∠2 and m∠3 are alternate angles and as such;
m∠2 = m∠3
Thus; m∠3 = 109°
Similarly,
m∠1 and m∠4 are alternate angles and as such;
m∠1 = m∠4
Thus;
m∠4 = 71°
m∠1 and m∠5 are corresponding angles and as such;
m∠1 = m∠5
Thus;
m∠5 = 71°
m∠2 and m∠6 are corresponding angles and as such;
m∠2 = m∠6
Thus;
m∠6 = 109°
Similar to how angles were gotten earlier, we can say that;
m∠5 = m∠8 = 71°
and m∠6 = m∠7 = 109°
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The temperature at midnight was −11°C. By midday, the temperature was 5°C.
What was the temperature during the morning?
Explain what method you used to find the temperature change.
Answer:
-3 celcius
Step-by-step explanation:
Answer:
6 ℃
Step-by-step explanation:
by substacring u will see it
please answer quick and no the answer isn’t 15
Answer:
107
Step-by-step explanation:
The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.
This allows us to do 180 - 73 = 107
x would be 107.
The shadow of an object varies directly with its height.The shadow of a 25 ft trees is 6 ft.How long is the shadow of an 18 ft tree
Answer:
Well i got 4.32 but im not completely sure
Step-by-step explanation:
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed, while only 12% of the 525 boys were left handed. Which is closest to the number of left-hander girls at mason Junior high school?
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:
= 32% × 475
= 32/100 × 475
= 0.32 × 475
= 152 left handed girls
u+(−5)=−15 What do do to the negative 5 if its ib parentheses
Answer:
u = -10
Step-by-step explanation:
u + (−5) = −15
u − 5 = −15 distributive multiplication, think of it like 1 * -5 = -5
u = -10 add 5 to both sides of equality
A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-
bedroom condo. The total rent she receives is $1240. She needs to make repairs on the
condos, and it costs 10% of the 1-bedroom condo's rent for its repairs, 20% of the 2-
bedroom for its repairs, and 30% of the 3-bedroom condo's rent for its repairs. The total
repair bill was $276. The 3-bedroom condo's rent is twice the 1-bedroom condo's rent.
How much is the rent for all three condos? Define your variables then write and solve a
system of equations.
Answer:
1 bedroom = $280
2 bedroom = $400
3 bedroom = $560
Step-by-step explanation:
Given that :
Total rent received = 1240
Rent amount of 3 bedroom = 2 times rent of 1 bedroom
Let 1 bedroom = x
2 bedroom = y
3 bedroom = 2x
x + y + 2x = 1240
3x + y = 1240 ---(1)
Repair cost :
10% of x = 0.1x
20% of y = 0.2y
30% of 2x = 0.6x
0.1x + 0.2y + 0.6x = 276
0.7x + 0.2y = 276 - - - (2)
From (1)
y = 1240 - 3x
0.7x + 0.2(1240 - 3x) = 276
0.7x + 248 - 0.6x = 276
0.1x + 248 = 276
0.1x = 28
x = $280
1 bedroom = $280
3 bedroom = $280 * 2 = $560
2 bedroom = $1240 - $840 = $400
It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
Write numerical answer only (no sentences, no units) i need help ASAPPP!! I'll give brainliest
work it out
Step-by-step explanation:
Choose the correct answer below for the following problem:
(‒489) + (‒764) =
A.
‒1,253
B.
275
C.
1,253
D.
‒275
Step-by-step explanation Answer:
A -1253
-489-764 = -1253
Explain how can you use place value to compare 1.679 and 1.697.
Thanks!
Answer:
Well, you look at each individual place value.
1.679 and 1.697
Compare 1 to 1. They are the same. Move on.
Compare 0.6 to 0.6. They are the same. Move on
Compare 0.07 and 0.09. They are not the same. 0.07 is less than 0.09
Therefore 1.679 < 1.697
Hope this helps :)
Please consider Brainliest :)
There were 5 boys for every 8 girls at Foster High School last year. If there were 390 students at the school, how many were girls and how many were boys?
Answer:
it would be 150 boys and 240 girls
Step-by-step explanation:
Dee spends $0.25, $0.30, $0.10 and $0.04.
How much $ does she spend in all?
Answer:
$0.69
Step-by-step explanation:
Add them all up.
Answer:
$0.64
Step-by-step explanation:
hope this helped :-)
3y + 2 = -6x
in slope-intercept form : y=mx+b
oh and please show work! Thank youuu
Answer:
y= -2x- [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
3y+2=-6x
3y=-6x-2
y= [tex]\frac{-6}{3}[/tex]x - [tex]\frac{2}{3}[/tex]
y= -2x - [tex]\frac{2}{3}[/tex]
You isolate for y in this example by moving the 2 to the other side and then dividing the -6x and -2 by 3 to get the y by itself.
1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.
Answer:
y=2x
Step-by-step explanation:
HELP
1.75^-0.5
(3/2)^2.4
Answer:
first off i just want to say i hate aleks but ill still give the answer
Step-by-step explanation:
1.75^-0.5 = 0.75592894
3/2^2.4 = 2.6461778
Use square roots to solve the equation x^2 = −25 over the complex numbers. Enter your answers in numerical order.
Answer:
Step-by-step explanation:
x^2= -25
x=5i and -5i
Answer:
The answer is 5
Step-by-step explanation:
x^2= -25
x=√-25
x=5
Rearrange the formula
Help pls !!
Destiny paid $9.60 for a dozen donuts. What is the unit cost for each donut?
Answer:
$0.8
Step-by-step explanation:
dozen=12
$3.60=12 donuts
$3.60/12= 0.8
$0.8
What is the value of x?
Answer:
x = 18
These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.
Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180
10x + 0 = 180
10x = 180
x = 180/10
x = 18
y = 4x + 2 :) help please
Answer:
This equation is already complete to its maximum stage.
Step-by-step explanation:
If you want other possibilities of this equation here:
y - 2 = 4x
4x = y - 2
x = [tex]\frac{y - 2}{4}[/tex]
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer: Not enough info
Step-by-step explanation:
He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.
Answer:
Adjacent = x = length = 6.46 inches
Step-by-step explanation:
Given the width and diagonal of a rectangular postcard,
Find the length using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse = 7.6 inches
Opposite = 4 inches
Adjacent = x
Hypotenuse ² = opposite ² + adjacent ²
7.6² = 4² + x²
57.76 = 16 + x²
subtract 16 from both sides
57.76 - 16 = x²
41.76 = x²
Find the square root of both sides
x = √ 41.76
= 6.46
x = 6.46 inches
Adjacent = x = length = 6.46 inches
It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
Answer: The temperature was 1 8/10º at the end of the day after Mother's Day
Step-by-step explanation:
5 8/10º-14 7/10º=-9 1/10º at the end of Mother’s Day
-9 1/10º+10 9/10º=1 8/10º at the end of the next day after Mother’s Day
What is 3x-4y=10 on a graph
Answer:
Step-by-step explanation:
please I need help I will mark brainiest
Answer:
sorry i looked and i tried, but i dont know the answer.
Step-by-step explanation: