Answer:
The flagpole is
4
meters tall.
Explanation:
The wire, the flagpole, and the ground make up the three sides of a triangle.
One angle of this triangle is given as
45
o
.
The angle of the flagpole with the ground must be
90
o
.
So the last angle must be
45
o
.
Because of the right angle
(
90
o
)
of the flagpole and the ground, this is a
right triangle
. The wire forms the hypotenuse.
Because both of the other angles are the same (both are
45
o
), this is an
isosceles
right triangle (the legs are equal.)
This particular kind of right triangle is called a
45
−
45
−
90
triangle, named for the degrees in its angles.
...
...
...
...
...
...
...
.
. . . . . . . . . . . . . . .
The measurements of these triangles are known by memorization:
The
45
−
45
−
90
isosceles right triangle has these properties:
It forms half a square, cut in half along the diagonal, so it is a
right triangle
.
This diagonal line forms the
hypotenuse
of the triangle.
The sides
s
(the legs) are the same as each other, so
it is an
isosceles right triangle.
The length of the hypotenuse is always
s
√
2
Here is a diagram of the
45
−
45
−
90
isosceles right triangle:
Step-by-step explanation:
12.
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = 5/2x – 10; (–6, –29)
A. y = 5/2x – 14
B. y = -2/5x + 14
C. y = 2/5x – 14
D. y = 5/2x + 133/2
Answer:
A. y = 5/2x – 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to y = 5 /2 x − 10 .
y = 5 /2 x − 14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = 5 /2 x − 10 .
y = − 2 /5 x − 157 /5 PERPENDICULAR
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
x + y = 6
x - y = 4
A. (6,0)
B. (5, 1)
C. (2,4)
D. (3,3)
the following table represents a linear function. use the values in the table below to find the slope of the line
5x + 2(x = 1) simplify
Answer:
7x-2
Step-by-step explanation:
5x+2(x-1)
2*x and 2*-1
2x-2
Add 2x-2 with 5x to get
7x-2
Laura has 3.85 pounds of bananas. She goes to the store to buy 2.75 more pounds of bananas to make banana bread. Each loaf requires 0.30 pounds of bananas. How many loaves of bread can she make?
Answer:
22
Step-by-step explanation:
3.85+2.75= 6.6
6.6÷0.30= 22
Answer:
The answer is 22 loaves of bread.
Step-by-step explanation:
You add 3.85 pounds + 2.75 pounds to get the total number of pounds she bought, which is 6.6 pounds of bananas.
Then you divide your total answer of 6.6 pounds by 0.30 pounds for each loaf, to get 22 loaves of bread.
pls help or I'll cry i don't know how to do any
Answer:
¹/₄ hr or 0.25 hrs
⁷/₆ hr or 70 mins
He will make it in time (justification below)
4.
a. False
b. True
c. False
Step-by-step explanation:
The questions are all in relation to the equation:
speed (km/hr) = distance (km)/time (hr)
It may be worth learning about how formula triangles work because I think you would find them helpful, there are videos online on this
The first question is asking about times;
Rearranging the equation/formula above, time = distance/speed;
So, we just plug in the information for each distance travelled;
The first 30 km is covered at 120 km/hr;
So, the time taken will be:
t = ³⁰/₁₂₀
This simplifies to:
t = ¹/₄ = 0.25
So, it will take ¹/₄ hr or 0.25 hrs to cover 30 km at 120 km/hr;
¹/₄ hr is the same as 15 mins
The next 56 km is covered at 48 km/hr;
So:
t = ⁵⁶/₄₈
This simplifies to:
t = ⁷/₆
So, it will take ⁷/₆ hr or 70 mins
The second question requires us to know the time taken to cover 16 km at 100 km/hr;
t = ¹⁶/₁₀₀
This simplifies to:
t = ⁴/₂₅ = 0.16
So, ⁴/₂₅ hr or 9.6 mins
If he has 15 mins to make it to school and we've just calculated it will taken 9.6 mins, then he will make it in time
4.
a.
False
Jason runs 5 km in 30 mins, which means he could run 10 km in 60 mins;
Donna runs 9 km in 60 mins, so Jason runs at a faster speed since he would cover 10 km in 60 mins
b.
True
Rachel covers 10 km in 10 mins;
Speed will be:
10/10 = 1
So, her speed is 1 km/min
An hour is 60 mins so, her speed in km/hr will be:
60 × 1 = 60
60 km/hr
This is greater than the limit 50 km/hr
c.
False
The 2 runners run the same track, this means they run the same distance;
If James takes longer, then this is because he is running slower or, in other words, Paula is running faster
d.
Can't see the full question
Given f(x)=2x and g(x)=x^2+8 find the following expressions.
(a)(f*g)(4)
Step-by-step explanation:
f(x) = 2x
g(x) = x² + 8
(f × g)(x) = f(x) × g(x)
= 2x(x² + 8)
= 2x.x² + 2x. 8
= 2x³ + 16x
(f×g)(x) = 2x³ + 16x
A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches. What is the scale of inches in the drawing to inches in the actual room?
Ice cream is alwasy teh answer
 Which transformations are congruent? Check all that apply.
Answer:
Step-by-step explanation:
please help asap!! What is the measure of angle A?
Hint: Angle A and the 65° angle are vertical angles.
Answer:
65
Step-by-step explanation:
because it is vertically opposite angles
find the value of x
(x+5)+(5-x)+(x+2)=10
Answer:
x = -2
Step-by-step explanation:
1) Rewrite the equation to remove unnecessary parenthesis: x + 5 + 5 - x + x + 2 = 10
2) Remove the opposite variables: 5 + 5 + x + 2 = 10
3) Calculate the sum of the numbers on the lefthand side: 12 + x = 10
4) Subtract 12 from both sides so that x is by itself: x = 10 - 12
5) Solve the equation on the right, and you get your answer: x = -2
Step-by-step explanation:
★Given Term,
[tex]{ \sf{ \green{ { \underline{ (x+5)+(5-x)+(x+2)=10}}}}}[/tex]
★Solution
☼︎Arrange Terms
[tex]...{ \sf{ \longmapsto{(x+5)+(5−x)+(x + 2)=10}}}[/tex]
[tex]...{ \sf{ \longmapsto{(x+5)+(−x+5)+(x+2)=10}}}[/tex]
☼︎Here We Will Eliminate redundant
[tex]...{ \sf{ \longmapsto{x+5)x+5+x+2=10}}}[/tex]
☼︎Add
[tex]...{ \sf{ \longmapsto{x+12−x+x=10}}}[/tex]
☼︎Combine
[tex]...{ \sf{ \longmapsto{1x+12=10}}}[/tex]
☼︎Multiply By 1
[tex]{ \sf {\longmapsto \: {x + 12=10}}}[/tex]
☼︎Subtract 12 from both sides
[tex]{ \sf {\longmapsto \: {x+12−12=10−12}}}[/tex]
☼︎So After Simplifing It We Get,
[tex]{ \underline {\bf {\longmapsto {\boxed{ \sf {\green{x = - 2}}}}}}}[/tex]
How do you solve this problem number 11
Which table represents a linear function? A two column table with four rows. The first column, x, has the entries, 1, 2, 3, 4. The second column, y, has the entries, 3, 7, 11, 15. A two column table with four rows. The first column, x, has the entries, 1, 2, 3, 4. The second column, y, has the entries, 3, 8, 15, 21. A two column table with four rows. The first column, x, has the entries, 1, 2, 3, 4. The second column, y, has the entries, 3, 9, 3, 9. A two column table with four rows. The first column, x, has the entries, 1, 2, 3, 4. The second column, y, has the entries, 3, 9, 27, 81.
Answer:
the the first one
Step-by-step explanation:
whats (3x + 2) to the second power
Answer:
the correct answer is explained in the picture attached
(3x + 2)²
= (3x)² + 2(3x)(2) + 2²
= 9x² + 12x + 4
Use the algebraic identity :- (a + b)² = a² + 2ab + b².
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Suppose that a friend missed class and never learned what 25 1/2 means.
Use exponent rules your friend would already know to calculate 25 1/2 X 251/2 .
Explain why this means 25 1/2=5 .
[tex]25^{\frac{1}{2} }[/tex] = 5 because [tex]25^{\frac{1}{2} }[/tex] = √25 and √25 = 5.
Using exponent rule,
[tex]25^{\frac{1}{2} }[/tex] = √25
Any number raised to the power of half (1 / 2), is the same as the square
root of that number. It is represented mathematically as follows:
[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex]
Therefore,
To find that [tex]25^{\frac{1}{2} }[/tex] = 5 can be resolved as follows:
Since [tex]25^{\frac{1}{2} }[/tex] = √25
√25 = 5
Therefore,
[tex]25^{\frac{1}{2} }[/tex] = 5
read more: https://brainly.com/question/14407567?referrer=searchResults
Can someone help me with this please
Answer:
Its (C). :3
Step-by-step explanation:
I know math :3.
Calculate the rise and run to find the slope of the line
Answer:
4/6
Step-by-step explanation:
List from greatest to least
0.4
4.58
0.45
45.8
0.458
Answer:
0.4,0.45,0.458,4.58,45.8
The hypotenuse of a right triangle measures 13cm and one of its legs
measures 11cm. Find the measure of the other leg. If necessary, round to the
nearest tenth
Answer:
6.9
Step-by-step explanation:
Use the Pythagorean theorem :
a^2 + b^2 = c^2
so,
11^2 + b^2 = 13^2
121 + b^2 = 169
b^2= 48
b = 6.928
Round to the tenth : 6.9
PLEASE HELP ASAP IM ON A TIME LIMIT
Answer:
A and C
Step-by-step explanation:
A. Like terms have the same variable like -6y and 7y. If it was -6y squared and 7y, they would NOT be like terms.
B. 6 is a coefficient (number), not a variable.
C. 5 is the coeffecient (it 's being multiplied by x)
D. A constant term is a number.
Item 4
Evan is 75 inches tall. If his brother Logan was 5 inches shorter, he would be exactly half Evan's height.
How tall is Logan?
Enter your answer as a decimal in the box.
in.
Answer:
42.5 in
Step-by-step explanation:
75/2= 37.5
then add 5
37.5+5= 42.5
problem referred below
Answer:
C- (1, -3),(-1,6),(2,-4)
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
5x + 13
36
Q
Р
30
6x-2
R
find x
so what is 36 Q P 30 and R for? or is the question 5x+13×36QP×30×6x-2×R?
Which number line represents the solution of
5x + 3 ≥ -7 ?
Answer:
try D
Step-by-step explanation:
plz help hurry i need to turn this in today and i don't have time to waste
Answer:
Part One: $187
Part Two: 11a + 5.5k
Step-by-step explanation:
Part One:
a = 9 (how many adult tickets)
k = 16 (how many kid tickets)
($11 × a) + ($5.50 × k) = total cost
($11 × 9) + ($5.50 × 16)
($99) + ($88) = $187 = total cost
Part Two:
11a + 5.5k
11 is how much the adult ticket costs, you multiply a or the amount of adult tickets in order to get the total cost for adults.
5.5 is how much the kid ticket costs, you multiply k or the amount of kid tickets in order to get the total cost for kids.
you add 11a + 5.5k or the total cost for adults and the total cost for kids to get the total cost.
How do I get the motivation to work on homework and study?
Answer:
Hurry and do it before the marking period ends. You could really use good grades to get in a good college so you should get some sleep then drink some water and try and do your work.
Step-by-step explanation:
Answer:
Honestly, depending on who you are, different th8ngs have different effects. Music, Podcasts, etc
Jenny has $55 in her checking account. She bought 7 equally priced DVDs and paid
with a check. Her new account balance is –$22. How much was each DVD?
Answer:
Each DVD was 11 dollars
Step-by-step explanation:
First let's make our equation
Lets read our equation and take the most important parts of it
Most important parts put into a equation
Let d represent DVD's
[tex]55-7d=-22[/tex]
Subtract both sides by [tex]55[/tex]
[tex]-7d=-77[/tex]
Divide both sides by [tex]-7[/tex]
[tex]d=11[/tex]
Each DVD was 11 dollars
List all subset of{5,6}
The subsets of {5, 6} are
• { } (empty set)
• {5}
• {6}
• {5, 6}
Which expression is the simplest form −11√54?
−99√6
−33√6
−20√6
−14√6
Answer:
[tex]-33\sqrt{6}[/tex]
Step-by-step explanation:
We have to simplify [tex]\sqrt{54}[/tex] to [tex]3\sqrt{6}[/tex]
Then rewrite that as
[tex]-11*3\sqrt{6}[/tex]
Then simplify by multiplying only -11 and 3
[tex]-33\sqrt{6}[/tex]
Witch linear relation below has the largest slope? What is the slope?
Answer:
the graph has the largest slope. the slope is 5/2
Step-by-step explanation:
the slope of y=2x+4 is 2.
to get the slope of the table, see how much x increases and how much y increases. in this case, as x increases by 1, y also increases by 1, so the slope is 1.
to get the slope of the graph, find two or three points with whole numbers as both the x and y values. we can use (0, 2) and (2, 7). we can either make another table to see how the x and y values increase or look at the line and see how the line rises and runs. in this case, as x increases by 2, y increases by 5. the y value shows rise and the x value shows run, so we can write the slope as 5/2. we can see how the line rises by 5 and goes 2 units to the right. this gets the same slope as before.
1<2<5/2, so the graph has the largest slope.
