Step-by-step explanation:
Pythagoras formula for the relation of the side lengths in a right-angled triangle :
c² = a² + b²
c is the Hypotenuse, the side opposite of the 90 degree angle.
a and b are the "legs".
3.
c² = 10² + 21² = 100 + 441 = 541
c = sqrt(541) = 23.2594066...in
so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be
c² = 10² + sqrt(21)² = 100 + 21 = 121
c = 11in
4.
10² = a² + 6²
100 = a² + 36
64 = a²
a = 8 m
5.
again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.
given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?
also interesting that it says "attitudes" - plural. what do you mean by that ?
because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?
with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".
6.
similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.
so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.
what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.
going from the small to the large triangle we have to transform 4ft into 60ft.
what do I have to multiply 4 with to get 60 ?
4 × x = 60
x = 60/4 = 15
so, the flag pole is
15×1 = 15ft tall.
The Temperature decreased from 71.50 F to 56.80 F overnight. How much did the temperature drop? Find the difference.
Answer:
Temperature difference: 14.70°F
Step-by-step explanation:
Since the temperature decreased from 71.50°F to 56.80°F, we could determine the temeprature difference by subtracting the given temperatures:
71.50°F - 56.80°F = 14.70°F
Therefore, the temperature decreased by 14.70°F overnight.
When surrounded by smaller circles, a center circle will appear ________ than if surrounded by larger circles.
When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.
PerceptionPerception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.
Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.
Learn more about perception in https://brainly.com/question/7337201
The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle?
length=22m
breadth=14.67
How to find Y intercept of the line passing through the points
Answer:
Y-intercept: (0, -3)
Step-by-step explanation:
Given the two points, (6, 5) and (3, 1):
We can find the y-intercept by using the slope-intercept form, y = mx + b. However, the first step that we must do is to solve for the slope.
SlopeWe must first solve for the slope of the line using the following formula:
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (3, 1)
(x₂, y₂) = (6, 5)
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{Slope\:(m) =\:\frac{5 - 1}{6 - 3}\:=\:\frac{4}{3}}[/tex]
Hence, the slope of the line is: [tex]\sf{m\:=\frac{4}{3}}[/tex] .
Y-intercept:Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ).
In order to find the y-intercept, use one of the given points, (6, 5), and the slope, [tex]\sf{m\:=\frac{4}{3}}[/tex], and substitute these values into the slope-intercept form and solve for the value of b:
y = mx + b
[tex]\displaystyle\mathsf{5\:=\:\frac{4}{3}(6)\:+\:b }[/tex]
5 = 8 + b
Subtract 8 from both sides to isolate b:
5 - 8 = 8 - 8 + b
-3 = b
Therefore, the y-intercept is (0, -3), where b = -3.
What numbers could be at each letter?
A=
B=
C=
D=
E=
Answer:
A= 1
B= 2
C = 3
D = 4
E = 5
And so on going on for the 26 letters. But no clue since you said "could"
Matilda and Nancy are miles apart, bicycling toward each other on the same road. Matilda rides miles per hour and Nancy rides at miles per hour. In how many hours will they meet
Answer:
it will take 3 hours For them to cover 60 miles and meet
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
There was a sample of 350 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 7.3% each year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .
Answer:
y = 350*0.927^tStep-by-step explanation:
Initial amount = 350 mgDecay = 7.3% per year or 0.073Time = t yearsFinal mass = yThe equation:
y = 350*(1 - 0.073)^t = 350*0.927^twhat multiples to -36 but adds to 16
Answer:
answer in the link below
mathhelp.mhlp
Step-by-step explanation:
school x and school y play each other in a competition
school x has eight more than school y
school x has three times as many points as school y.
how many points does each school have ?
Answer:
x=12 y=4
Step-by-step explanation:
x=y+8
x=3y
x=y+8 times 3
3x=3y+24
x=3y
3x=3y+24 - x=3y
2x=24
x=24
24-8=4
4 times 3 =12
Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).
Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:
Answer:
[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.
[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]
At this point we have everything, let's replace and write down the line in a better looking form
[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]
Jenny drove 335 miles in 5 hours at the same rate how long would it take her to drive 871 miles?
Answer: x = 13 hours
Step-by-step explanation:
335 miles/5 hours = 67 mi/hr
(67 mi/hr)x = 871 miles
x = 13 hours
help with these sum please it is math
Answer:
Step-by-step explanation:
24 ) Before, so -5 sec
25) after. So, + 5 sec
26) + 50 c
27) -50 c
28) - 1 min
29) + $ 50
30) - $ 5
31) +5
32) - 5
I need help I’m really bad at math but the photo thing is not working
someone please help me ASAP!!!
Answer:
14.1372 m
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT IM SO CONFUSED!!!! ):
Answer:
you do y2-y1/x2-x1 for each ordered pair and if you get the same its parrallel, if the answers are opposite then they are perpendicular, and otherwise they are neitherStep-by-step explanation:
6 times 8 = ? times 6
6 * 8 = 48
6 • 8 = 48
6(8) = 48
48 * 6
= 288
Answer:288
Step-by-step explanation:
6×8=46 and
46×6=288
#16 i
MODELING REAL LIFE A public university charged $9200 for tuition and fees in the 2014-2015 academic year. This cost
increased at a constant rate and reached $10,900 in the 2019-2020 academic year. Estimate the cost of tuition and fees in the
2023-2024 academic year.
The tuition is an illustration of a linear function.
The cost of tuition and fees in the academic year 2023-2024, is $12260
Let the number of academic years after 2014-2015 academic year be x.
So, we have:
[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]
A linear function is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)
So, we have:
[tex]\mathbf{10900 = 5m + 9200}[/tex]
Subtract 9200 from both sides
[tex]\mathbf{1700 = 5m}[/tex]
Divide both sides by 5
[tex]\mathbf{340 = m}[/tex]
So, we have:
[tex]\mathbf{m =340 }[/tex]
The function becomes
[tex]\mathbf{y = mx + b}[/tex]
[tex]\mathbf{y = 340x + 9200}[/tex]
In the academic year 2023-2024, x = 9.
So, we have:
[tex]\mathbf{y = 340x + 9200}[/tex]
[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]
[tex]\mathbf{y = 3060 + 9200}[/tex]
[tex]\mathbf{y = 12260}[/tex]
Hence, the cost of tuition and fees is $12260
Read more about linear functions a:
https://brainly.com/question/21107621
Kate had 50 thousands-blocks in her package of base-ten blocks. How many ten thousands-blocks does that equal?
5
50
500
5000
Step-by-step explanation:
50000÷10
=5000
MARK ME BRAINLIESTAnswer number eleven and thirteen please
Answer:
Both are right trianglesStep-by-step explanation:
Use Pythagorean to decide
#11Sides 12, 16, 20
12² + 16² = 20²400 = 400Right triangle#13Sides 2.4, 4.5, 5.1
2.4² + 4.5² = 5.1²26.01 = 26.01Right triangle-28- 15 + 3
_________
8-(-2)
Answer:
-4
Step-by-step explanation:
First, you want to solve each equation.
-28-15+3
-43+3
-40
8-(-2)
8+2
10
Then divide.
-40÷10=-4
Find the perimeter. Simplify your answer.
Answer:
wild guess, 50
Step-by-step explanation:
10s+3+10s+3+3s+9+3s+9= 50
1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
(a) Write down an expression for the perimeter of the rectangle, giving your
answer in its simplest form.
The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
Step-by-step explanation:
perimeter=2(l+b)
check the picture for more clarification
SOMEONE PLEASE HELP IM FAILING HS
2-20. Evaluate each expression for x=-2 and y=-5.
a. 1-2x + 3y
b. -|x-y|
c. √x^2 + ^3√x^3
d. 1/2x+1/3y
Answer:
a. 1-2(-2) + 3(-5) = 1-4 -15 = -18
b. -|-2--5| = |3| = -3
d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3
Hope it works
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 31 minutes of calls is $20.97, and the remaining credit after 50 minutes of calls is $18.50. What is the remaining credit after 54 minutes of calls?
Answer:
The credit remaining on a phone card (in dollars) is a linear function of the
total calling time made with the card (in minutes), as shown in the figure below.
The remaining credit after 45 minutes of calls is $22.80 , and the remaining
credit after 64 minutes of calls is $19.76.
Step-by-step explanation:
What is the remaining credit after 73 minutes of calls?
;
Not sure what figure you are referring to, write an equation from the given values:
Assign the values as follows
x1 = 45; y1 = 22.80
x2 = 64; y2 = 19.76
:
Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29
m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29
m = -.16
:
x-3y=-14
x-y=-2
substution method
Answer:
(4, 6 )
Step-by-step explanation:
x - 3y = - 14 ( add 3y to both sides )
x = - 14 + 3y → (1)
x - y = - 2 → (2)
Substitute x = - 14 + 3y into (2)
- 14 + 3y - y = - 2
- 14 + 2y = - 2 ( add 14 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
Substitute y = 6 into (1)
x = - 14 + 3(6) = - 14 + 18 = 4
solution is (4, 6 )
PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS
Answer:
1.the first one is the distance from home
2. is 91
3.increases by 91 i belive tht should be correct
Step-by-step explanation:
Evaluate 1/5 of 175 please
Answer:
35
Step-by-step explanation:
1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.
[tex]\frac{1}{5}*175[/tex] [tex]\frac{175}{5}}[/tex] [tex]35[/tex]Therefore, the answer is 35.
the total surface area of an cube is 294cm2 work out the volume of the cube
Answer:
343 cm³
Step-by-step explanation:
V = 343 cm³
Surface A = 294 cm²
A recipe for 2 dozen cookies uses 300 grams of flour, 250 grams of butter,
and 150 grams of sugar. How much of each ingredient would be required to make 120 cookies?
Flour:
grams
Butter:
grams
Sugar:
grams
Elena and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,510. This year, the cost is $1,208. What was the percent of decrease in the cost of season tickets?
Answer:6
Step-by-step explanation: