The value of x from the figure is 35√2
SOH CAH TOA identityFrom the given figur, we have the following parameters
figure
Opposite = 35
Angle = 45 degrees
Required
Hypotenuse = x
USing the theorem
Sin 45 = 35/x
x = 35/sin45
x = 35√2
Hence the value of x from the figure is 35√2
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The length of the base of a parallelogram is 14 meters. The parallelogram has an area of 308 square meters.
What is the height of the parallelogram?
Answer:
22 m
Step-by-step explanation:
A = bh
308 m² = 14 m × h
h = (308 m²)/(14 m)
h = 22 m
Answer: 22 m
b - 7/4 = - 2/3
Solve for b
Answer:
13/12
Step-by-step explanation:
If I wash 24 dogs and used 4 bottles of shampoo, How many dogs can I wash with only 1 bottle of shampoo?
Answer:
6
Step-by-step explanation:
I hoped it helped!!!
You can just divide both 24 by 4 and 4 by 4 to make it 1.
2 out of every 5 dogs at the dog park are girl dogs. If there are 25 dogs at the dog park how many are girls.
Answer:
10 dogs
Step-by-step explanation:
we make 5 times 5 to get 25
then we make also 2 times 5 to know the number of girl dogs
then the answer will be 10
8. If a=3u-v, b=-u +2v and c=3u +4v. where u and v are two non-parallel vectors (1) express c in terms of a and b; (ii) determine the magnitude of the vector d = 3a + 2b +c given that u and v are unit vectors inclined a 60°
(i) If we can write c as a linear combination of a and b, then there exist scalars k₁ and k₂ such that
[tex]c = k_1a + k_2b[/tex]
Solve for k₁ and k₂ :
[tex]3u + 4v = k_1 (3u - v) + k_2 (-u + 2v)[/tex]
[tex]3u + 4v = (3k_1 - k_2) u + (-k_1 + 2k_2) v[/tex]
Then we must have
[tex]\begin{cases}3k_1 - k_2 = 3 \\ -k_1 + 2k_2 = 4\end{cases} \implies k_1 = 2, k_2 = 3[/tex]
and so
[tex]\boxed{c = 2a + 3b}[/tex]
(ii) Given that u and v form an angle of 60° between them, we have by the dot product identity
[tex]u \cdot v = \|u\| \|v\| \cos(60^\circ)[/tex]
where ||u|| denotes the magnitude of the vector u. Both u and v are unit vectors, so ||u|| = ||v|| = 1, and
[tex]u \cdot v = \dfrac12[/tex]
A special case of the identity with u = v tells us that for any vector u,
[tex]u \cdot u = \|u\|^2 \cos(0^\circ) = \|u\|^2[/tex]
which means
[tex]u \cdot u = v \cdot v = 1[/tex]
This in turn means we have
[tex]a \cdot a = (3u - v) \cdot (3u - v) = 9 (u \cdot u) + (v \cdot v) - 6 (u \cdot v) = 7[/tex]
[tex]a \cdot b = (3u - v) \cdot (-u + 2v) = -3 (u\cdot u) - 2 (v \cdot v) + 7 (u \cdot v) = -\dfrac32[/tex]
[tex]a \cdot c = (3u - v) \cdot (3u + 4v) = 9 (u\cdot u) - 4 (v\cdot v) + 9 (u \cdot v) = \dfrac{19}2[/tex]
[tex]b\cdot b = (-u + 2v) \cdot (-u + 2v) = (u \cdot u) + 4 (v\cdot v) - 4 (u \cdot v) = 3[/tex]
[tex]b\cdot c = (-u + 2v) \cdot (3u + 4v) = -3 (u\cdot u) + 8 (v\cdot v) + 2 (u\cdot v) = 6[/tex]
[tex]c \cdot c = (3u + 4v) \cdot (3u + 4v) = 9 (u\cdot u) + 16 (v\cdot v) + 24 (u\cdot v) = 37[/tex]
and hence
[tex]d \cdot d = (3a + 2b + c) \cdot (3a + 2b + c)[/tex]
[tex]d \cdot d = 9 (a\cdot a) + 4 (b\cdot b) + (c \cdot c) + 12 (a\cdot b) + 6 (a\cdot c) + 4 (b\cdot c)[/tex]
[tex]d\cdot d = 175[/tex]
and so ||d|| = √175 = 5√7.
Can someone please solve this by graphing
XY - X + 2Y -2 =X(Y-1) + 2(Y-1) = 2X(Y-1)
If you are 80% done with a project, and it took you 7 hours, how much longer until you are 100% done?
Assume you are working at the same rate. Show your work.
Step-by-step explanation:
80% = 7
divide by 80
1% = 0.0875
times by 100
100% = 8.75
8.75 - 7 = 1.75/1 hr 45 minutes more minutes till 100%
PLEASE I WILL GIVE BRANILIST pleaseeeeeee
Answer:
12 is 48% of 25
Step-by-step explanation:
One way we can find a percentage of two numbers is to divide, and then multiply our quotient by 100. In this case, the question is: What percent of 25 is 12? We will divide 12 by 25, which gives us 0.48. 0.48 x 100 is 48, which gives us our answer: 12 is 48% of 25.
The exact circumference of a circle is 30tt. What is the diameter?
Step-by-step explanation:
the circumference of a circle is
C = 2 × pi × r
r = radius = diameter / 2
diameter = 2r
in our case
30×pi = 2×pi×r
30 = 2r = diameter
so, the first answer option is correct.
You and your friend go out to dinner the cost of the meal is $45. 22 they want to leave a 20% tip how much should they leave for tip
Answer:
What is 5% of 45.22?
That would be about 2.3
Now times that by 4 then there is your answer :)
use the long division method 1325÷56
Answer:
40
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A. Find the complement of the angle shown.
B. Find the supplement of the angle shown.
Show all your work.
Answer:
Complement is 38
Supplement is 128
Step-by-step explanation:
Ok, so you know a complementary angle is 90 degrees and a supplementary angle is 180. To find the complement of the angle is another way of saying “make it add up to 90” You would show your work by writing “x + 52 = 90” to find the complement and “x + 52 = 180” I am assuming you know how to solve from here and that’s how I got the answer. Let me know if you don’t understand
PLEASE ANSWER THIS ASAP
Insert a monomial so that the derived equality will be an identity.
Answer:
Step-by-step explanation:
(a +b)² = a² + b² + 2ab
a = 3a and b = 2.5b
2ab = 2*3a*2.5b = 15ab
15ab is the monomial that needs to be inserted
How do I solve this with explanation?
Answer:
x=148
Step-by-step explanation:
x it is verticle from and across from 148 which is congruent to x and x=148
Can someone please help me solve this table?
Answer: DOWN BELOW
Step-by-step explanation:
-3 -47
-1 -7
1 -1
3 -47
To fill a pool, Barb uses two hoses. The first hose is rated to fill the pool in 10 hours. The second hose is rated to fill it in 5 hours. If Barb adds a third hose that uses the slower rate, how long will it take to fill the pool ?
Answer: hose Is raled to fill Ihe pool in 10 hours erhe To fill a pool, Barb uses two hosesThe first third hose that uses {ha slower to fill it in 5 hours. If Barb adds second hose is rated "long will it take to fill the pool?
Give Brainliest! Thanks.
It will take 10/3 hours to fill the pool when both the hoses will work together.
The first hose is rated to fill the pool in 10 hours.
This means, In one hour hose will fill 1/10th part of the pool.
The second hose is rated to fill the pool in 5 hours
This means, In one hour hose will fill 1/5th part of the pool.
What will be the total part of the pool to be filled?The total part of the pool to be filled will be 1.
Let us suppose both the hoses working together takes t hours to fill the pool
So, the first hose will fill the t/10th part of the pool.
The second hose will fill the t/5th part of the pool.
So, [tex]\frac{t}{10} +\frac{t}{5} =1[/tex]
15t =50
t=10/3
Therefore, It will take 10/3 hours to fill the pool when both the hoses will work together.
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Answer ASAP
One number is 14 more than another number. If the two numbers have a sum of 40, what
are the numbers?
Answer:
13 and 27
Step-by-step explanation:
y= x+14
x+y=40
x+ x+14=40
2x+14=40
40-14=26
so, 2x=26
26/2
=13
so, x=13 and
and y equal 40-13
y=27
can anyone please help me find the length of X?
Solution:
Note that:
2(Perimeter of smaller triangle) = Perimeter of larger triangleUsing the perimeter of the smaller triangle, solve for x.
2(Perimeter of smaller triangle) = Perimeter of larger triangle=> 2(3.5 + x + h) = 7 + 4 + 2h=> 7 + 2x + 2h = 7 + 4 + 2h=> 2x = 4=> x = 2The length of x is 2 units.
1/4-1/8= /8-1/8=? Can you help we find the answer for this equation?
Answer:
Step-by-step explanation:
LCM of 4 and 8 = 8
[tex]\dfrac{1}{4}=\dfrac{1*2}{4*2}=\dfrac{2}{8}[/tex]
[tex]\dfrac{1}{4}-\dfrac{1}{8}=\dfrac{2}{8}-\dfrac{1}{8}\\[/tex]
[tex]=\dfrac{1}{8}[/tex]
At what point does y = 2x + 3 intercept: a) The y-axis: b) The x-axis:
Answer:
a)(0, 3)
b)(-3/2, 0)
Step-by-step explanation:
a) y-axis : x=0
so instead of x you write 0 : y = 2 * 0 + 3
and you get y = 3
b) x-axis : y=0
so instead of y you write 0 : 0 = 2 * x + 3
2 * x = -3
x = -3/2
Round to the nearest whole number
3.6
3.2 and 3.6 become 4 , but -3.2 and -3.6 become -4 . down - rounds towards zero.
so 4 thanks for the points and you are welcome for the answer.
What is the exact value of the side length of a square with an area of 30 square units?
Answer:
5.48
Step-by-step explanation:
Using the formula
A=a2
Solving for a
a=A=30≈5.47723
Find the M angle BDC
Answer:
60°
Step-by-step explanation:
angle b = 180 - 120
= 60°
angle d = 180 - 60 - 60
= 60°
Please can people help me ( I will be giving brainlyist if 2 people answer)
Answer:
c. 18 feet
Step-by-step explanation:
The area is 180ft². The height is 10ft.
Now, we need to divide 180ft² by 10ft.
180/10 = 18
ft²/ft = ft
The length of the wall is 18ft.
Answer:
The measure of the wall given is square ft., meaning you can divide it by either length or height to get the corresponding side.
We are given a height of 10 ft.
So 180 / 10 = 18ft
L = 18ft
Have a lovely day!
Each student in the class has 100 beads to use on a craft project. Angela used 78% of her beads, Vincent used 3/4 of his beads, Mitchell used 0.8 of his beads, and Caroline used 18/25 of her beads. Who has the least number of beads left?
Answer:
Caroline
Step-by-step explanation:
Angela = 100 × 0.78 = 78
Vincent = 100 × 3/4 = 75
Mitchell = 100 × 0.8 = 80
Caroline = 100 × 18/25 = 72
Who has the LEAST
Answer:
Caroline has the least number of beads. Caroline has 72 beads
For a standard normal distribution, find the approximate value of P (z greater-than-or-equal-to negative 1. 25). Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 1. 00 0. 8413 1. 25 0. 8944 1. 50 0. 9332 1. 75 0. 9599 11% 39% 61% 89%.
Answer:
89%
Step-by-step explanation:
A school needs to buy new notebook and desktop computers for its computer lab. The
notebook computers cost $275 each, and the desktop computers cost $350 each. How
much would it cost to buy 20 notebooks and 15 desktop computers? How much
would it cost to buy n notebooks and d desktop computers?
Answer:
$10750
275n+350d
hope this helps!!
Answer:
notebook computer= $5500
desktop computer= $5250
notebook and desktop computer= $10750
Step-by-step explanation:
First of all, we multiply $275 by 20 which would give you 5500. Next, we multiply 350 by 15 which gives you 5250. now to add the total number of notebook and desktop computers, we add them both, which results to 10750.
If the building is a regular pentagon with each side measuring 23 √149, what’s the perimeter?
Answer:
Step-by-step explanation:
Regular pentagon has 5 equal sides
Perimeter = 5* (23√149)
= 115√149
Select all the expressions that are equivalent.
4 – 2k
4k + 2
-2k + 4
2k - 4
Answer:
A and C:
[tex]4 - 2k \: = - 2k + 4[/tex]
The radius of a circle is 12 in.
Find its circumference in terms of Pie
Answer:
24[tex]\pi \\[/tex]
Step-by-step explanation:
circumference=2rpi
which makes it dpi
12*2=24
so the circumference is 24pi
Answer:
C = 24π inches
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 12 = 24π inches