Answer:
y = 4
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 45
Hypothenus = 4√2
Adjacent = y =?
The value of y can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 45 = y / 4√2
Cross multiply
y = 4√2 × Cos 45
Recall
Cos 45 = 1 / √2
Therefore,
y = 4√2 × 1/√2
y = 4
Whats 782,835 divided by 5?
Answer:
156,567
Step-by-step explanation:
782,835 ÷ 5 = 156,567
Answer:
it is 165,567
Step-by-step explanation:
u divide
What is the volume?
9 ft
4 ft
2 ft
HELPPPP
Answer:
72?
Step-by-step explanation:
V=whl=4 x 2 x9=72
Find the missing side lengths
Answer:
Download gauthmath it will help
Jesus loves u
Số nghiệm của pt | 2x-3| - | 3x+2|=0 là?
Answer:
2 solutions
Step-by-step explanat
ion:|2x-3|-|3x-2|=0
<=>|2x-3|=|3x-2|
<=>2x-3=3x-2
Or 2x-3=-3x+2
<=>2x-3x=-2+3
or 2x+3x=2+3
<=>x=-1
Or x=1
help pllsssssssssssss
Answer:
abcd is a quadrilateral
so , d is ( -1,4 )
c is ( 0,-4 )
b is ( 0,-2)
and
a is ( 2,-2 )
Find the surface area of the cube shown below.
units?
2 1/2
Answer:
SA = 37.5 units^2
Step-by-step explanation:
2 1/2 = 2.5
the Surface Area of the cube
SA = 6a^2
SA = 6(2.5)^2
SA = 6(6.25)
SA = 37.5 units^2
Find the value of 3w-10 given that -11w-4=7.
Simplify your answer as much as possible.
Answer:
-13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-11w - 4 = 7
3w - 10
Step 2: Solve for w
[Addition Property of Equality] Add 4 on both sides: -11w = 11[Division Property of Equality] Divide -11 on both sides: w = -1Step 3: Evaluate
Substitute in w: 3(-1) - 10Multiply: -3 - 10Subtract: -13Solve Each of the following equations:
|5x|=3
Answer:
|5x|=3
5x=3 or 5x=-3
divide both side by 5
x=3/5 or -3/5
Step-by-step explanation:
Answer: X = -3/5
X = 3/5
Step-by-step explanation:
-3=5X=3
5X= -3
X= -3/5
5X = 3
X = 3/5
18. PLEASE HELP ME
Solve the equation using square roots.
x2 – 14 = –10
A. ±2
B. 2
C. no real number solutions
D. ±4
9514 1404 393
Answer:
A. x = ±2
Step-by-step explanation:
Add 14, then take the square root.
x^2 -14 +14 = -10 +14
x^2 = 4
x = ±√4
x = ±2
Answer:
A
Step-by-step explanation:
X^2-14=-10
X^2=14-10
X^2=4
√X2=√4
X=±2
Find the value of b. Round
the nearest tenth.
Answer:
b= sin(43°) * 8 / sin(55°) ≈ 6.7
Step-by-step explanation:
Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that
sin A / a = sinB/b = sin C / C
= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get
sin(55°)/8 = sinB/b
If we know sinB, we can multiply both sides by 8 to remove a denominator to get
sin(55°) * b / 8 = sinB
multiply both sides by 8 to remove the other denominator to get
sin(55°) * b = sinB * 8
divide both sides by sin(55°) to isolate the b
b = sinB * 8/sin(55°).
Therefore, if we know sinB, we can figure out the length of b.
Because the angles of a triangle add up to 180 degrees, we can say that
180 = 82 + 55 + angle B
180 = 137 + B
subtract both sides by 137 to isolate B
43 = B
b= sin(43°) * 8 / sin(55°) ≈ 6.7
There are 38 chocolates in a box, all identically shaped. There are 8 filled with nuts, 16 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it and then select a second piece. Find the probability of selecting 2 solid chocolate in a row
Answer:
0.1294
Step-by-step explanation:
Number of chocolates in box = 38
Number of nuts = 8
Number of caramel = 16
Number of solid chocolate = 14
Since 2 are selected in a row and not replaced, then;
Probability of first being solid chocolate = 14/38
Probability of second being solid chocolate after first one = 13/37
Thus;
P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294
Guys please help me solve this I’m struggling
Answer:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
Step-by-step explanation:
Given
[tex]z = 4x + 5y[/tex]
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
Required
The maximum and minimum of z
To do this, we make use of the graphical method
See attachment for graphs of
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
The corner points of the function are:
[tex](x,y) = (-1,1)[/tex]
[tex](x,y) = (-1,0)[/tex]
[tex](x,y) = (-1,-1)[/tex]
We have:
[tex]z = 4x + 5y[/tex]
Calculate z with the above values
[tex]z = 4(-1) + 5(1) = 1[/tex]
[tex]z = 4(-1) + 5(0) = -4[/tex]
[tex]z = 4(-1) + 5(-1) = -9[/tex]
So, we have:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
determine the dimension of cube when the volume is 1.468mcube
Answer:
1.137 m
Step-by-step explanation:
The volume of a cube is given as the cube of the side. A cube is a 3 dimensional shape with equal sides and 6 faces. If the volume is V and the side is s then
V = s * s * s
Given that the volume is 1.468mcube then
s^3 = 1.468
s = cube root of 1.468
= 1.137 m
There is 10% salt solution and a 30% salt solution. How much of each is needed to make 10L mixture that is 25% salt solution?
Answer:
2.5L of 10% salt solution and 7.5L of the 30% salt solution
Step-by-step explanation:
let the amount of L in the 10% solution be 'x'
let the amount of L in the 30% solution be '10-x'
* because they add up to a total of 10L
10%(x) + 30%(10-x) = 25%(10)
0.1x + 3 - 0.3x = 2.5
-0.2x = -0.5
x = 2.5
x =2.5
10-x = 7.5
2.5 of 10% solution and 7.5% of 30% solution
Good Afternoon I am really stuck on this question whoever solves it I will give them brainliest with no unacceptable question thank you so much!
Answer:
Card picked=2
P(factors of 28)={1,2,4,7,14,28}
total cards=4
in percentage=4 x 20 + 20
80+20=100
Therefore 2 in percentage will be
2 x 20 + 20
=40+20=60%
Sal washed 5 cars in 50 minutes. What is the unit rate?
Answer:
since Sal washed 5 cars in 50 minutes, we can express his time as follow:
[tex] \frac{5 \: cars}{50 \: minutes} [/tex]
simplifying it by diving by 5, we get:
[tex] \frac{1 \: car}{10 \: minutes} [/tex]
Thus the rate will be 10 minutes per car (10 min/car)
Answer:
10 mins / car
Step-by-step explanation:
50 / 5 = 10
Which expression(s) represent(s) the perimeter of the following figure? Select all that apply. (answers are in units)
Perimeter = the sum of the outer sides
#1. P = (2x + 3) + (2x + 3) + (5x - 1) + (5x - 1) + (x - 7)
#2. P = 2(2x + 3) + 2(5x - 1) + (x - 7)
#3. P = 4x + 6 + 10x - 2 + x - 7
#4. P = 15x - 3
A. Correct - equivalent to #2
B. Incorrect - does not include all of the sides
C. Correct - equivalent to #1
D. Incorrect
E. Incorrect
F. Correct - equivalent to #4
Hope this helps!
Answer:
A, C, F.
Step-by-step explanation:
Answers A, C, and F are all equal and represent the perimeter of the shape.
There are 2 sides that are (2x+3) and (5x-1) in size and 1 side that is (x-7) in size.
Enter the repeating digit:
[tex] \frac{2 }{3} = 0. \frac{?}{?} [/tex]
Answer:0.6666...
Step-by-step explanation:
Dividing
Please help me solve this short problem today is my last day to complete these
Answer:
shift of 1 unit to the right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Given the parent function is y = x² , then
y = (x - 1)² is a shift to the left of 1 unit of the parent function
6. Alex and Brian park their bikes side-by-side. Alex leaves to visit friends, and Brian leaves 30 minutes later,
headed for the same destination. Alex pedals 5 miles per hour slower than Brian. After 1 hour, Brian passes Alex. At
what speed are they each pedaling?
Answer:
See below.
Step-by-step explanation:
When Brian passes Alex they both have travelled the same distance.
Call this distance d.
Let the speed that Brian passes = x miles/hour.
Distance = speed * time so:
For Alex:
d = (x - 5) * 1.5 ( Alex cycles for 1 + 30 minutes = 1.5 hours)
For Brian:
d = x * 1
So substituting d = x in Alex's equation:
x = 1.5(x - 5)
x = 1.5x - 7.5
7.5 = 0.5x
7/5 / 0.5 = x
15 = x.
ANSWER:
Brian's speed is 15 miles/hour.
Alex's speed is 15 - 5 = 10 miles/hour.
How can you use what you know about 5(2) to find 5(-2)?
Please help
Answer:
-10
Step-by-step explanation:
5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)
A game involves correctly choosing the 5 correct numbers from 1 through 18 that are randomly drawn. What is the probability that a person wins the game, if they enter a) once? b) 7 times with a different choice each time?
Answer:
[tex]=\frac{1}{8568}\ = .00011\\\ =\frac{7}{8568} = .00081[/tex]
Step-by-step explanation:
[tex]5/18\cdot \:4/17\cdot \:3/16\cdot \:2/15\cdot \:1/14=\frac{1}{8568}[/tex]
What is (0,6] n (6,8]?
Answer:
(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket
Pls help me ! L need help here
Answer:
H. 40 inches
Step-by-step explanation:
On Wednesday, he is 40 inches taller. ... That would make 5 days of growth, for 100 inches. But this is only 3 days therefore he would grow 40 inches taller
7. In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7
Answer:
17
Step-by-step explanation:
8+2+(3×3-2)=8+2+(9-2)=8+2+7=17
mistake in the first step
firstly we do × and ÷
then + and -
The weight of an object on the moon is
1/6 of its weight on Earth. If a moon rock
weighs 20.5 lb on Earth, how much did
the moon rock weigh on the moon?
Answer:
1/6 = 0.16 = 16%
restate the question: 16% of 20.5 is what? multiply: 20.5*.16 = 3.28 now, to find the weight of the object on the moon, subtract 16% from 20.5. 16% of 20.5 is 3.28 20.5-3.28 = 17.22 = 17 22/100 = 17 11/50
the weight of the object is 17 11/50 pounds on the moon.
Prove that angle ABD is congruent to angle CBE
with solution!
ANSWER:
the conditions are the angle a is equal to angle c and ab = bc . Hence we need to prove that the triangles is congruent to the triangle cbe. ... angle A =angle C and AB=BC.
-2 (x+5):4
Pliss es para hoy
I don't know how you want it solved but, I am giving u -2 I hope this helps
Which classification describes the following system of equations?
(12x+5y-32= 36
x-2y + 4z = 3
9x-10y + 5z = 27
Answer:
(12x+5y-32=36
12x-x+5y-2y-32=36
Maddie guessed that there were
1,905 candies in the jar.
What is the value of the 9?
Answer:
hundreths the 9 represents 900
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
1,905
Expand the number
1000 + 900 + 5
900 is the value of the 9