Answer:
Angle A- -3, 2
Angle B- 0, 1
Angle C- 0, -2
Find the value of y
Answer:
64-degree ( Alternate angles)
Answer:
y = 64 degree
Step-by-step explanation:
angle y = 64 degree (being alternate interior angles)
y° = 64°
Refer to pictures above real help please
Answer:
38.7°
Step-by-step explanation:
∆ = Tan-1(opposite/ Adjacent)
=Tan-1(8/10)
= 38.66°
= 38.7° to n nearest tenth
4ab (a -b) + b (2b -2a²) for a = 1 and b= -1
simplify it
Answer:
Step-by-step explanation:
4ab(a-b)+b(2b-2a^2)
=4*1*-1[1-(-1)]+(-1){2(-1)-2*1^2}
=-4(1+1)-1{-2-2}
=-4*2-1(-4)
=-8+4
=-4
Answer:
by my calculations the answer is 10
Step-by-step explanation:
4×1(1-1)+1(2×1-4)
4+1(2-4)
5×2
10
cosy/1-siny = 1+siny/cosy
varify using trig identity.
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]
On the left, we can multiply both layers by (1 + sin(y)):
[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]
Multiply:
[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]
From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:
[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]
Cancel:
[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]
Hence proven.
2 QUESTIONS
You don't need to answer both of them, but please include answer + explanation for at least one of them
Answer:
bh + L(S1 + S2 + h)
Step-by-step explanation:
b stands for the bottom edge of the base triangle
h is the height of the base triangle
L is the length of the prism
S1 and S2 are the two edges of the base triangle
bh is the combined area of the two triangular faces
L(S1 + S2 + h) is the area of the three rectangular side faces
What is the general form of the equation for the given circle?
Answer:
a circule
Step-by-step explanation:
A recipe calls for 3 cups of sugar for every 4 pounds of fruit. How many cups of sugar are required for 10 pounds of fruit?
Answer:
7.5 cups
Step-by-step explanation:
For this you'd need to set up a ratio of 4lbs : 3 cups = 10lbs : x cups
You can turn this into an equation by turning it into a fraction, so 3/4 = x/10
Then you would solve this like a regular equation
1. 3/4 = x/10
2. 10(3/4 = x/10)
3. 10 * 3/4 = x
4. 7.5 = x
The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to the volume of sand is 5 : 1 Work out the number of litres of water in the tank.
The tank contains approximately 26.67 liters of water.
Use the concept of ratio defined as:
A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.
Where x and y are individual amounts of two quantities.
And, the Total quantity is given after combining as x + y.
Given that,
Dimensions of the tank: 50 cm by 32 cm by 20 cm
The ratio of water to sand: 5: 1
The volume of the tank: 32,000 cm³
Calculate the volume of the tank first:
Since the ratio of water to sand is 5:1,
Calculate the volume of water.
Assign the variable "x" to represent the volume of water.
According to the ratio,
The volume of sand would be 1/5th of the volume of water,
So the volume of sand would be (1/5)x.
Since the tank is full,
The combined volume of water and sand is equal to the volume of the tank.
Therefore, we have the equation
x + (1/5)x = 32,000 cm³.
Simplifying the equation,
we get (6/5)x = 32,000 cm³.
To find the volume of water (x),
Solve for x by multiplying both sides of the equation by (5/6):
x = (32,000 cm³)(5/6).
Calculating this, we get the volume of water as 26,666.67 cm³.
Now, to convert this to liters,
Divide by 1000:
26,666.67 cm³ ÷ 1000 = 26.67 liters.
Hence, there are approximately 26.67 liters of water in the tank.
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What does the transformation f(x) --> -f(x) do to the graph of f(x)
Answer: D) Reflect over x-axis
=======================================================
Explanation:
When we do this type of reflection, a point like (1,2) moves to (1,-2).
As another example, something like (5,-7) moves to (5,7)
The x coordinate stays the same but the y coordinate flips in sign from positive to negative, or vice versa.
We can say that [tex](x,y) \to (x,-y)[/tex] as a general way to represent the transformation. Note how y = f(x), so when we make f(x) negative, then we're really making y negative.
If we apply this transformation to every point on f(x), then it will flip the f(x) curve over the horizontal x axis.
There's an example below in the graph. The point A(2,8) moves to B(2,-8) after applying that reflection rule.
Solve the following equation for x: 2x^2 - 3 = 47
With explanation plz ion wanna go summer school
Answer:
Step-by-step explanation:
2x²-3=47
2x²=47+3
x²=50/2=25
x=±√25=±5
Answer:
x = ±5
Step-by-step explanation:
2x^2 - 3 = 47
Add 3 to each side
2x^2 - 3+3 = 47+3
2x^2 = 50
Divide each side by 2
2x^2 = 50/2
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = ±5
Please someone help me please
Answer:
x = 21.46
Step-by-step explanation:
[tex]cos 56 = \frac{adjacent}{hypotenuse} = \frac{12}{x}\\\\x = \frac{12}{cos 56} = 21.46[/tex]
Answer:
Step-by-step explanation:
take 56 degree as reference angle
using cos rule
cos 56=adjacent/hypotenuse
0.55=12/x
x=12/0.55
x=21.81
x=21.8
HELP PLEASE
Find 33/4 x 21/3. All answers must be in lowest terms
[tex] \frac{231}{4} [/tex] ✅
Step-by-step explanation:
[tex] \frac{33}{4} \times \frac{21}{3} \\ = \frac{11 \times 21}{4} \\ = \frac{231}{4} [/tex]
Note:-
A fraction is said to be written in its lowest form if its numerator and denominator are prime, that is, they have no common factors other than 1.[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
if a 30 foot wire is attached to the top of a 12 foot pole and stretched to the ground, find the angle the wire makes with the ground
Answer:
52 degrees
Step-by-step explanation:
Answer:
52 degrees sorry if that's wrong
a quadratic function g(x) passes through the points (-8,33) (2,1) and (8,1). which statement correctly describes g(x) ?
Answer:
Step-by-step explanation:
We don't have any statements from which to choose, but I did ind a couple of things that might be useful to you. Solving the system simultaneously for a, b, and c gives back a quadratic that is [tex].2x^2-2x+4.2=y[/tex] and it has a vertex of (5, -.8). It opens upwards and is very wide open, which means that its vertex is a minimum. It has real zeros of x = 7 and x = 3, and a y-intercept of (0, 4.2). Not sure what else there is to tell you so hopefully I covered something of importance!
three dimensions
A Pentagon has
A. zero measurements
b. two measurement's
c. three measurements
d. one measurements
Answer:
one measurement
Step-by-step explanation:
hope it's helpful for you ☺️
Charles is cooking enough lentils for lentil barley soup and lentil salad. The soup recipe calls for 3/4 cup of dried lentils. The salad recipe calls for 1 1/ 2 cups of dried lentils. Jon has a 1/8 -cup scoop. How many scoops of dried lentils will Charles need to have enough for the soup and the salad?
Answer:
18 scoops is the correct answer
Step-by-step explanation:
3/4 can also be written as 6/8 (multiply both 3 and 4 by 2)
and 1 1/2 is actually 3/2 which can be written as 12/8 (multiply both 3 and 2 by 4)
thus total lentils required is 6/8 + 12/8 = 18/8 cups.
with scoop size 1/8 cup you'll need 18 scoops .
Answer:
18 1/8 scoops
Step-by-step explanation:
Soup:
6 scoops from a 1/8 cup can make a 3/4 cup
Salad:
4 scoops from a 1/8 cup can make a 1/2 cup
If 1/8 means one portion is divided into eight portions, then 8 scoops from a 1/8 cup can make 1 cup.
A tire has a radius of 20 inches. What is the Circumference of the tire?
Answer:
Step-by-step explanation:
circumference=2πr
=2*3.14*20
=125.6 inches
The circumference of the tire is 125.6 inches.
We have given that,
A tire has a radius of 20 inches.
We have to determine the circumference of the circle
What is the formula for the circumference of the circle?
C=2πr
C=circumference
r=radius of the circle
Use this value in the circumference of the circle
Therefore we get,
=2*3.14*20
=125.6 inches
Therefore the circumference of the tire is 125.6 inches.
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in 824,795 what digit is in the ten thousand place
Answer:
2 is in the ten thousanths place
Step-by-step explanation:
This is because 2 in 824,795 has the value of 20,000.
If c+di is a point on the circle, then
|c + dil=
2x + (-x) + 5 + (-5) =
Answer:
X
Step-by-step explanation:
2x-x=x
5-5=0
Answer:
[tex]2x + (-x) + 5 + (-5) = x[/tex]
Step-by-step explanation :
Remove Parenthesis :
[tex]2x - x + 5 - 5[/tex]
Add similar elements :
[tex]x + 5 - 5[/tex]
Add them up :
[tex]5 - 5 - 0 = x[/tex]
You burn a log on a fire. You use the fire to warm yourself and to light up the
room to read a book. Which energy transformation is taking place?
O A. Thermal energy is transformed to light energy and chemical
energy
B. Chemical energy is transformed to nuclear energy and thermal
energy
C. Nuclear energy is transformed to potential energy and thermal
energy.
D. Chemical energy is transformed to light energy and thermal
energy.
: D. Chemical energy is transformed to light and thermal energy
help asap pls
The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is the width of the rectangle. Can the perimeter of the rectangle be 64 units when its width is 11 units and its length is 20 units?
a. No. If the length is 20 and the width is 11, the perimeter is P = 20 + 22 = 42, not 64.
b.No. If the length is 20 and the width is 11, the perimeter is P = 40 + 22 = 62, not 64.
c. Yes. If the perimeter is 64 units and the width is 11 units, then P + W is greater than 40.
d. Yes. If the perimeter is 64 units and the width is 11 units, then P + W is less than 40.
Answer:
B No if the length is 20 and the width is 11 , the perimeter is p=40+22=62 not 64
what is meant ratation of the earth and draw
Answer:
Earth's Rotation
Earth spins around its axis, just as a top spins around its spindle. This spinning movement is called Earth's rotation. At the same time that the Earth spins on its axis, it also orbits, or revolves around the Sun. This movement is called revolution.
Hurry fasttt fastttt
A vehicle was purchased for $64,000 when exponential depreciation is appeals at the rate of 18% per year, how much will the vehicle be worth 54 month after the purchased date?
Answer:
Step-by-step explanation:
The standard form of an exponential function is
[tex]y=a(b)^x[/tex] where y is the value of the car after x years have gone by, a is the initial value of the car and b is the rate of depreciation. For us, that looks like this:
[tex]y=64000(.18)^{4.5[/tex] where 64000 is the initial value of the car, .18 is the depreciation rate, and 4.5 is 54 months in years. Doing the math on that gives us that the value of the car will be $51,840 4.5 years after it's purchased new.
Try answer the following:
-299= -3×n+1
n=
Answer:
[tex]n = 100[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
The Earth rotates every 24 hr and as diameter of 7, 926 mi. If you're standing on the equator, how fast are you traveling in miles per hour (mph)?
The more accurate value is 1037.51097384802
Round that however you need to.
=======================================
Explanation:
We need the circumference of the equator. Think of the equator as the largest possible circle (or belt) to fit around the earth.
C = pi*d
C = pi*7926
C = 7926pi
C = 24,900.2633723527
In 24 hours, a person at the equator travels roughly 24,900.2633723527 miles since the earth does a full rotation in this timespan.
Divide the two quantities distance over time to get the speed
rate = distance/time
rate = (24,900.2633723527 miles)/(24 hours)
rate = ( (24,900.2633723527)/(24) ) miles per hour
rate = 1,037.51097384802
rate = 1038 mph
I'm rounding to 4 sig figs since the diameter is given to be in four sig figs.
This speed of roughly 1038 mph is a linear speed and not an angular speed.
-----------------------------
Extra info (optional section)
Upon further research, I found an article from NASA JPL (jet propulsion laboratory) which states quote:
"To make one complete rotation in 24 hours, a point near the equator of the Earth must move at close to 1000 miles per hour (1600 km/hr)"
Their figure of 1000 mph seems to be a rough estimate, more or less. It's fairly close to the 1038 figure we got earlier.
f(x)=(41)x
Exponential growth or Exponential decay
Answer:
growth
Step-by-step explanation:
A clothing store purchases T-shirts for
$4.00 each and then marks up the price
of each by 55%. What is the markup and
new price of each T-shirt?
Answer:
The mark up is $2.20 and the new price of each T-shirt is $6.20.
Step-by-step explanation:
Before we find the new price of each T-shirt we must find the markup (by how much were raising the price).
The problem states each T-shirt costs $4.00, but then marks up the price of each by 55%.
Step 1 would be to find 55% of $4.00.
0.55 * 4 = 2.2
So that is the mark up, the price is going up by $2.20. To find the new price of each T-shirt, you take that $2.20 and add it to the original $4.00.
$4.00 + $2.20 = $6.20
So the mark up is $2.20 and the new price of each T-shirt is $6.20.
4x=3y+23
4y+3x=-19
solve by substitution. No files pls
Answer:
x = ⁷/₅
y = ⁻²⁹/₅
Step-by-step explanation:
4x = 3y + 23 (×3)
12x = 9y + 69
4y + 3x = -19
3x = -4y - 19 (×4)
12x = -16y - 76
∴ 9y + 69 = -16y - 76
25y = -145
y = ⁻²⁹/₅
12x = 9(⁻²⁹/₅) + 69
12x = 69 - ²⁶¹/₅
12x = ⁸⁴/₅
x = ⁷/₅