Answers
Answer:
6
Step-by-step explanation:
4 × 9 = [tex]\sqrt 36[/tex] = [tex]\sqrt{6}[/tex]
The value of y is 6 units obtained by applying pythagoars's theorem in all possible right-angled triangles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
From the figure, we have three unknowns x, y, and z and we have 3 right-angled triangles so three equations can be formed.
x² = 4² + y²...(i)
z² = 9² + y²...(ii)
(4 + 9)² = x² + z²
13² = x² + z²...(iii)
Now, Subtracting eqn(ii) from eqn(iii) we have.
169 = x² + z²
(-) 81 = -(y)² + z²
-------------------------
88 = x² + y²...(iv).
Now adding eqn(i) and eqn(iv) we have,
2x² = 104.
x² = 52.
Putting this value in eqn(i) we have,
52 = 16 + y².
y² = 36.
y = 6.
learn more about Pythagoras' theorem here :
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Related Questions
can somebody help me with this homework?
Answers
Answer:
121.1/1.6%
Step-by-step explanation:
subtarct the given numebrs to get 121.1
Divide 123.06 from 121.1, multiply by 100, and you have 101.6, rate of change take away the hundred value to get 1.6%
Hope this helps and makes sense
20 PTSS !!!
PLEASE HELPP !!
Answers
Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).
So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.
Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.
The area is 150 square units
Divide the product of 22 and 27 =
Answers
3x + 7x - 8 = -19
can someone please help me with this math problem
Answers
3x+7x= 10x
10x-8= -19
+ 8. +8
10x= -11
————
10. 10
x= -1.1
Answer:
x= -1.1
Step-by-step explanation:
first combine like terms
3x+7x=10x
10x-8=-19
+8 on both sides
10x= -11
divide by 10
x= -1.1
check the answer
10(-1.1)-8= -19
-11-8= -19 its true
Identify the missing digit: 5_8x6-3528
Answers
Answer:
The missing digit is 8
Step-by-step explanation:
3528/6 = 588
Answer:
the missing digit is 8
Step-by-step explanation:
3528÷6=588.
^
an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)
Answers
Answer:
The height of the triangle would be
5
√
15
c
m
or
19.36
c
m
Step-by-step explanation:
Find tan e
53
45
8
28
A. B.
Ο Ο
D.
< PREVIOUS
Answers
TAN: 45/28
SIN: 45/53
COS: 28/53
sin(x°) = opposite/hypotenuse
cos(x°) = adjacent/hypotenuse
tan(x°) = opposite/adjacent
x is any degree measure.
Hence option C (45/28) is correct
What are trigonometric rations?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.
How to solve ?
Given θ
∴tan θ=[tex]\frac{Perpendicular}{Base}[/tex]
=45/28
= option c
Hence option C (45/28) is correct
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Find the value of xxx in the triangle shown below
Answers
Question: Find the value of xxx in the triangle shown below
Answer: Pg.21607062
Brainly.com
2-19-21
Answer:
x = 70
Step-by-step explanation:
When converted to speeds, which list is in order from slowest to fastest?
17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes
Answers
1. 5.5miles/ min (33 miles in 6 minutes)
2. 6.5miles/min (26 miles in 4 minutes)
3. 7.5 miles/ min (60 miles in 8 minutes)
4. 8.5miles/min (17 miles in 2mins)
How to do 5x+2=52? ME GIVE BRAIN DO IT NOWWWWW
Answers
Hi there!
52 subtract by 2 is 50 and then dividing by 5 would be 10.
So x would be 10.
Translate the following phrases into mathematical statements.
r ) is less than or equal to ten.
s )is more than negative one
t ) isn't the same as negative
five.
x ) is at most negative three.
y )is never one.
Answers
Answer:
[tex]r \le 10[/tex]
[tex]s > -1[/tex]
[tex]t \ne 5[/tex]
[tex]x \le -3[/tex]
[tex]y \ne 1[/tex]
Step-by-step explanation:
Required
Translate to mathematical statements
a) r is less than or equal to ten.
less than or equal means [tex]\le[/tex]
So, the expression is:
[tex]r \le 10[/tex]
b) s is more than negative one
More than means >
So, the expression is:
[tex]s > -1[/tex]
c) t isn't the same as negative five.
isn't the same means not equal to ([tex]\neq[/tex])
So, the expression is:
[tex]t \ne 5[/tex]
d) x is at most negative three.
At most means [tex]\le[/tex]
So, the expression is:
[tex]x \le -3[/tex]
e) y is never one.
is never means not equal to ([tex]\neq[/tex])
So, the expression is:
[tex]y \ne 1[/tex]
7/3 into a mix number
Answers
Answer: 2 1/3
Step-by-step explanation:
Answer and Step-by-step explanation:
To turn [tex]\frac{7}{3}[/tex] into a mixed number, we see how many times 3 goes into 7.
3 goes into 7 two times, so we put a two on the outside.
[tex]2\frac{1}{3}[/tex]
^ This is your answer, cause when you do 3 times 2, plus the numerator (1), you get 7.
#teamtrees #WAP (Water And Plant)
2. In the figure, is an exterior angle to triangle .
(a) What is the angle measurement of Angle 3. Explain the angle relationship you used.
(b) What is the angle measurement of Angle 4. Explain the angle relationship you used.
(c) What is angle relationship between angles 3 & 4? What is the angle relationship between angles 1, 2, & 3? What do you notice that is similar between the two? What is different?
(d) The combination of which two angles in the triangle equal angle 4? Use your work from Part C to figure out why this is the case, and explain your conclusion.
Answer:
PLZ JUST SHOW YOUR WORK ON A PICE OF PAPER AND PLZ LABLE THEM A, B, C, D IF YOU DO U WILL BR MARKED BRAINLY'S.
Answers
Answer:a
Step-by-step explanation:
⇒ d + e + f = b + a + a + c + b + c
⇒ d +e + f = 2a + 2b + 2c
= 2(a + b + c)
But, according to triangle angle sum theorem,
a + b + c = 180 degrees
Therefore, ⇒ d +e + f = 2(180°)
= 360°
Answer:
I only know a and b so don't hate me...
Step-by-step explanation:
Part A)
Angle 3 is 103° because 77° + ∠3= 180° and ∠3 = 180° - 77° = 103°
Part B)
Angle 4 is 77° because ∠3 + ∠4 = 180° and ∠4 = 180° - 103° = 77°
the area of a rectangle is 18cm square. what coul it dimension be?
Answers
P=a*b
a=P/b
a=18/b
Pairs of the solution (only integer numbers):
b=9, a=2
b=2, a=9
b=6, a=3
b=3, a=6
b=18, a=1
b=1, a=18
Find the value of z in parallelogram CDEF
Answers
Answer:
z = 13
Step-by-step explanation:
Opposite sides of a parallelogram are equal. Therefore:
3z = z + 26
Subtracf z from each side
3z - z = 26
2z = 26
z = 26/2
z = 13
Factor out the greatest common factor from –12a – 8a2.
Question 3 options:
A)
–4a(3 + 2a)
B)
2a(6 – 4a)
C)
–2a(6 + 4a)
D)
4a(3 – 2a)
Answers
Answer:
A -4a(3 + 2a)
Step-by-step explanation:
-12a - 8a^2) factor out a -4
-4(3a + 2a^2) factor out an a
-4a(3 + 2a)
Bags of sugar come in 3 sizes.
Small bag: A 175 g bag costs 55p.
Medium bag: A 525 g bag costs £1.76.
Large bag: A 1.15 kg bag costs £3.51.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Answers
Answer:
The cost per gram for each bag is:
Small bag: 0.00314 £
Medium bag: 0.00335 £
Large bag: 0.00305 £
Step-by-step explanation:
Small bag:
If 175 g cost 0.55 £, 1 g will be:
[tex] \frac{1g*0.55 \£}{175\: g} = 0.00314 \£[/tex]
Medium bag:
If 525 g cost £ 1.76, 1g will be:
[tex] \frac{1g*1.76 \£}{525\: g} = 0.00335 \£[/tex]
Large bag:
If 1150 g cost £ 3.51, 1g will be:
[tex] \frac{1g*3.51 \£}{1150\: g} = 0.00305 \£[/tex]
I hope it helps you!
True or false
what is always true about an isosceles triangle
1.one of the angles is 90 degrees
2.at least two angles are congruent
3.all of its sides are congruent
4.at least two sides are congruent
5.all of its angles are congruent
Answers
Edwin drove at a constant speed and traveled 182.4 miles in 3 hours. What is his rate in miles per hour?
Answers
60.8 miles per hour is your answer.
last year, Nicole biked n miles. This year, she biked 524 miles. Using n, write an expression for the total number of miles she biked.
Answers
Answer:
n+524
Step-by-step explanation:
you add both years worth of biking together!
What is the equation for the line of reflection?
Answers
x=6
hopefully im not wrong^^
You make $8.00 an hour for regular time and time and a half for every hour of overtime.
If you worked 40 hours of regular time and 5 hours of overtime, how much did you
earn?
Answers
Answer:
$380.00
Step-by-step explanation:
Regular time: $8.00 x 40 = $320.00
Overtime: (8 x 1.5) $12.00 x 5 = $60.00
Total: $380.00
A sound wave travels at 330m/s and has a wavelength of 2 m. calculate its frequency and period.
Answers
Answer:
frequency= 165Hz
period= [tex]\frac{1}{165}[/tex]
Step-by-step explanation:
1. To calculate the frequency using the formula:
f = v/λ
where,
f=frequency (what the question asked)
v=speed of wave (given in the question=330m/s)
λ=wavelength (given in the question=2m)
SO,
[tex]f=\frac{330}{2}[/tex]
= 165Hz
2. To calculate the period use the formula:
since [tex]f=\frac{1}{T}[/tex]
therefore, [tex]T=\frac{1}{f}[/tex]
where,
f= frequency (what we solved above=165Hz)
T= period (what the question asked)
SO,
[tex]T=\frac{1}{165}[/tex]
If a restaurant purchases organic food there is a 66% chance it will go bankrupt. If a restaurant does not purchase organic food there is a 64% chance it will go bankrupt. Only 12% of businesses purchase organic food. When a restaurant goes bankrupt what is the probability it purchased organic food
Answers
Answer:
0.1233 = 12.33% probability it purchased organic food
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Goes bankrupt
Event B: Purchase organic food.
Probability it goes bankrupt:
66% of 12%(purchases organic food)
64% of 88%(dont purchase organic food).
So
[tex]P(A) = 0.66*0.12 + 0.64*0.88 = 0.6424[/tex]
Intersection of A and B:
Bankrupt when purchases organic food. So
66% of 12%
[tex]P(A \cap B) = 0.66*0.12 = 0.0792[/tex]
When a restaurant goes bankrupt what is the probability it purchased organic food
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0792}{0.6424} = 0.1233[/tex]
0.1233 = 12.33% probability it purchased organic food
If gasoline costs $3.28 per gallon, how much would 15.5 gallons cost?
Answers
Answer:
$50.84
Step-by-step explanation:
By multiplying $3.28 × 15.5 = $50.84
An art teacher gives a total of 35 pounds of clay to her students. She gives each of her 16 students the same amount of clay. How many pounds of clay does each student get?
Please write it as a fraction.
Answers
Answer:
35/16
Step-by-step explanation:
Answer:
2.1875
Step-by-step explanation:
35/16=2.1875
2.1875 pounds
which equation is equivalent to
y + 2(x + 5) = 4x + 5
a) y = 2x + 20
b) y = -4x + 5
c) y = 2x - 5
d) y = 5x + 2
Answers
Answer:
C
Step-by-step explanation:
y + 2x + 10 = 4x + 5
y = 4x - 2x + 5 - 10
y = 2x - 5
Answer- C
please help me asap!!
Answers
Answer:
1 square unit
Step-by-step explanation:
its easy
1 * 1 = 1
Noah bought 3 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting his house, he divided the additive equally among the 3 cans of paint. How much additive did he put in each can?
Answers
Step-by-step explanation:
Amount of additive in each can
= Total amount of additive / Number of cans
= (1/2 of a pint) / (3)
= 1/6 of a pint.
Noah put 1/6 of a pint of additive in each can.
Find the quotient. Answer as a decimal.
–6 ÷ 1
1
3
3
1
Answers
Answer:
≈ -0.0005
Step-by-step explanation: