Answers
Answer:
don't know
.....................
Answer:
x = 12
Step-by-step explanation:
Consider three orthogonal triangles (see picture)
1. The smallest triangle
2. The medium triangle
3. The big triangle that holds both triangles.
All are orthogonal (or right triangles) so you can use Pythagoras Theorem:
"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
Use Pythagoras theorem on triangle 1.
[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]
Now user Pythagoras on triangle 2.
[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]
Now use Pythagoras on triangle 3 (the big triangle).
[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]
Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:
[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]
The two [tex]x^{2}[/tex] get cancelled out, so:
[tex]6x + 9 = 45 + 36\\x = 12[/tex]
TA DA!
Related Questions
Find the values of x and y.
2x 28 4y 28
Answers
Answer:
y=7
x°=15°
Step-by-step explanation:
First we see that there is a equilateral triangle (all angles and also sides should be equal to each other) meaning that 4y=28, which simplifies to y=7
Additionally, we can see that one of the acute angles of the equilateral triange is complementary with the 2x° angle, so 2x°+(the acute angle)=90°
Since the triangle is equilateral each angle must be equivalent and since there is only 180° in a triangle each angle is 180°/3=60°
so 2x°+(60°)=90°
simplify for x°
2x°=30°
x°=15°
n +8<-2 or 8+ n > 5
I’m supposed to solve and graph this compound which I did but I’m not sure if it’s correct or not it’s after school hours and I’m not allowed to contact my teacher
I got n<-10 Or n>-3
I just want to know if I did this correct please? Sorry for the messy handwriting in the picture
Answers
Answer:
the first one n + 8 < -2 is correct, the second one is correct too, but its just the graph that is wrong. n > -3, since its greater, it should increase in number, so the line would go toward the right, the opposite direction you drew down.
Step-by-step explanation:
Hope this helps
Suppose that the functions s and t are defined for all real numbers x as follows.
s(x)=2x-2
t(x)=3x
Write the expressions for (s-t)(x) and (s+t)(x) and evaluate (s⋅t)(-1)
Can't seem to figure it out
Answers
Answer:
Step-by-step explanation:
Given functions are,
s(x) = 2x - 2
t(x) = 3x
(s - t)(x) = (2x - 2) - 3x
= -x - 2
= -(x + 2)
(s + t)(x) = (2x - 2) + 3x
= 5x - 2
(s . t)(x) = (2x - 2)(3x)
= 6x² - 6x
(s . t)(-1) = 6(-1)² - 6(-1)
= 6 + 6
= 12
After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?
Answers
Answer:
I think its 90
Step-by-step explanation:
3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45
you need 90 more analysts to have a 1 to 1 ratio
I will give brainiest to whoever answers correctly !!
Answers
Answer:
The number of units decreased by [tex]8.7\%[/tex].
Step-by-step explanation:
Initially, 470 units were sold. The following 429 units were sold, meaning this was [tex]470-429=41[/tex] less units than last year. Thus, the number of units sold decreased and the percent of decrease is:
[tex]\frac{41}{470}\approx 8.7\%[/tex]
The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $90. How much is each allowance?
you [][][][][]
friend[][][][]
Answers
Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.
From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 5+4=9
Now, your monthly allowance = 5/9 × 90
= 50
So, your friend's monthly allowance = 90-50 = 40
Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.
To learn more about the ratio visit:
brainly.com/question/13419413.
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What is 3x-6+7y-4y plsssssssssss helpppppppp meeere
Answers
Answer:
3
+
3
−
6
Step-by-step explanation:
(3x + 4) (1 - 1)
Evaluate the limit lim
a.-3
b. 3
c. 1
d limit does not exist
Answers
Please help me! I’m begging you I’ll mark you brainly!
Answers
Answer:
A = 2x^2 + 11x + 15
B = 3x^2 - x - 2
A-B = -x^2 +12x +17
Pls help extra points and mark brainlist easy reading
Answers
Answer:
A should be the answer pls brainliest
Step-by-step explanation:
Find each difference.
A: (−5)−6
B: 35−(−8)
C: −438−(−114)
Answers
Answer:
A = -11
B = 43
C = -324
Step-by-step explanation:
-5 - 6 = -11
35 + 8 = 43
-438 + 114 = -324
Brenda purchased a new watch in 2012. The value of her watch, t years after she bought
it, can be modeled by the function A(t) = 117(0.93)
Drag and drop the correct number or phrase to left of each sentence to make the
sentence true for the function
Answers
Answer:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
Step-by-step explanation:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
The following information should be considered:
Since the function A(t) = 117(0.93)So it means that the rate of change should be modeled by 0.93.There is the reduction in the value. Also it is 7% change per year.learn more: https://brainly.com/question/834969?referrer=searchResults
PLZ NEED HELP QUICK PLZ
Answers
Answer:
Slope = 3
Step-by-step explanation:
For a proportional relationship, the slope of the line is simply y/x.
So using any given pair of values from the table, say (1, 3), the slope is:
y/x = 3/1
Slope = 3
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!
Answers
Answer: y ≥ − 2
Step-by-step explanation : hope it helps :)
aight man can someone help me lol
Answers
Answer: 11/24
Step-by-step explanation:
whenever u see this — (
it means the opposite of. so the opposite of -5/8 is +5/8.
-1/6 + 5/8 = 11/24
3(x + 3) − 2 < 4
does anyone know this?
Answers
Answer:3 + ? = 7, 3 + n = 7, 3 + x = 1
Step-by-step explanation:
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
Answer:
Inequality Form: x < −1
Interval Notation: (−∞, −1)
Step-by-step explanation:
3 (x + 3) −2 < 4
Simplify 3 (x + 3) − 2.
Apply the distributive property.
3x + 3 ⋅ 3 − 2 < 4
Multiply 3 by 3.
3x + 9 − 2 < 4
Subtract 2 from 9.
3x + 7 < 4
Move all terms not containing x to the right side of the inequality.
Subtract 7 from both sides of the inequality.
3x < 4 − 7
Subtract 7 from 4.
3x < −3
Divide each term by 3 and simplify.
x < −1
The result can be shown in multiple forms.
Inequality Form: x < −1
Interval Notation: (−∞, −1)
Find area of shaded. Exact answer of pi
Answers
Area right triangle = 1/2(6)(6) = 18
Area shaded = 36pi - 18
Each day a company used 2 / 8 of a box of paper. How many would they have used after 5 days?
Answers
Answer:
Now to secrtly stalk this man
Step-by-step explanation:
They have used after 5 days, 1 full box and 1/4 of another box.
What is fraction?Fractions are used to represent smaller pieces of a whole.
Given that, Each day, a company used 2 / 8 of a box of paper.
They are using 1/4 box of paper each day,
So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4
Hence, They have used after 5 days, 1 full box and 1/4 of another box.
For more references on fraction, click;
https://brainly.com/question/10354322
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A soccer team is saving money to buy new uniforms. The total cost for the uniforms is $88.74. There are 9 players on the team, and each player needs to save the same amount.
How much money does each player need to save?
A
$9.86
B
$98.60
C
$798.66
D
$788.66
Answers
Answer: A
Step-by-step explanation: $88.74÷9=$9.86
$88.74 is the total amount
9 players, and each player has to pay the same amount
we have to divide it evenly in 9 pieces, so we divide $88.74 into 9 groups which then equals $9.86
Hope this helps!
Homework help ???????????
Answers
Answer:
15
Step-by-step explanation:
The calculation is:
endamount - startamount divided by number of days.
(237-27) / 14 = 15
Answer:
237 - 27 = 210 (she already had 27 to start, so subtract that from the total)
210 ÷ 14 = 15 (divide by 14 because there are 14 days in two weeks)
so she bought 15 stickers each day
Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a C, and 2 earned a D on the last science test. If she randomly surveys one more student from the class, what is the experimental probability that the student would have earned an A on the test.
Answers
Answer:
0.4 or 2/5
Step-by-step explanation:
Dana surveyed 20 students in total and out of those 20 only 8 got an A
so:
[tex]\frac{8}{20}[/tex] now if you simplify it [tex]\frac{4}{10}[/tex] and if you simplify it again:
[tex]\frac{2}{5}[/tex] or 0.4 in decimal
A countertop is 11 feet long and 8 feet wide.
Part 1 out of 2
What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.
The countertop is
square meters.
Part 2 out of 2
Tile costs $28 per square meter. How much will it cost to cover the countertop with new tile?
It will cost $
to cover the countertop with new til
PLZZZZZ
HELPPPPPP
MEEEEEE
PLZZZZZ
Answers
11 * .305 = 3.355
8 * .305 = 2.44
3.354 + 2.44 = 8.19
it will cost $252 to cover it
you need 9 square meters to cover 8.19 meters of area
so 9 * 28 = 252
I will give brainiest to whoever answers correctly !!
Answers
50 years would be 11487
Solve the equation. w/5 =3 w=
Answers
Answer:
15
Step-by-step explanation:
[tex]\frac{w}{5}[/tex] = [tex]3[/tex] (multiply both sides by 5)
w= 15
Answer:
w= 15
Step-by-step explanation:
1. Multiply all terms by the same value to eliminate fraction denominators
2. Then simplify
A ski lift makes a 35° angle of elevation with the ground and takes passengers on a 6,550-foot ride up a mountain. Charlotte needs to figure out the elevation of the lift. Which equation and diagram can be used to model this problem?
Answers
Answer:
Top right one is the answer
Step-by-step explanation:
B :)
The elevation of the lift is equivalent to 11293.1 ft.
What is the angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
Given is that a ski lift makes a 35° angle of elevation with the ground and takes passengers on a 6,550 foot ride up a mountain.
Assume the elevation to be [x] ft. We can find the elevation as -
sin (35°) = (6550/x)
x = {6550/sin(35°)}
x = (6550/0.58)
x = 11293.1 ft
Therefore, the elevation of the lift is equivalent to 11293.1 ft.
To solve more questions on Angle of elevation, visit the link below-
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what is the answer 2x5-5=
Answers
Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.
Which equation shows the relationship in the table between the time, t, and the depth, d?
Answers
Answer:d
Step-by-step explanation:
Does Mario Kart have a secret agenda? Is it promoting capitalism, socialism, or communism?
Answers
Help me out to get this math problem solve
Answers
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
PLZ HELP ASAP! WILL GIVE 30 POINTS AND BRAINLIEST! which sequence of transformations will generate the same image as translating a figure 8 units to the left?
a) a reflection over the line x= -1 followed by a reflection over the line x= -9.
b) a reflection over the line x= -3 followed by a reflection over the line x= -5.
c) a reflection over the line x= -7 followed by a reflection over the line x= -3.
d) a reflection over the line x= -9 followed by a reflection over the line x= -13.
