Answer:
Euler's formula, Either of two important mathematical theorems of Leonhard Euler. ... It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges. A cube, for example, has 6 faces, 8 vertices, and 12 edges, and satisfies this formula.
Answer:
e^{ix}=\cos x+i\sin x
e = base of the natural logarithm
i = imaginary unit
x = the angle in radians
Step-by-step explanation:
Hellooo can someone help me :)
Step-by-step explanation:
You will need the hypotnuse. to find that use a squared plus b squared is c squared
classify the following triangle as acute obtuse or right
Unit 8 homework 4 Trigonometry: Ratios & Finding Missing Sides
Answer:
Step-by-step explanation:
2. Tan 48=x/17
X=17 tan 48
X=18.9
3. Sin 67=x/29
29 sin 67=x
X=26.7
4. Sin29= 12/x
Xsin29/sin29 =12/sin29
X=24.8
5. Cos16 =x/37
X=37cos16
X=35.6
6. Tan 58 =22/x
X=22/tan58
X=13.7
7. Tan 51= X/15
15 tan 51=x
X=18.5
8. Cos37=48/x
X=48/ cos37
X=60.1
9. Sin24=x/9
9sin 24=x
X=3.7
Answer:
Step-by-step explanation:
2. Tan 48=x/17
X=17 tan 48
X=18.9
3. Sin 67=x/29
29 sin 67=x
X=26.7
4. Sin29= 12/x
Xsin29/sin29 =12/sin29
X=24.8
5. Cos16 =x/37
X=37cos16
X=35.6
6. Tan 58 =22/x
X=22/tan58
X=13.7
7. Tan 51= X/15
15 tan 51=x
X=18.5
8. Cos37=48/x
X=48/ cos37
X=60.1
9. Sin24=x/9
9sin 24=x
X=3.7
please help i need the answer asap :) !!
Answer:
6^(2/3)
Step-by-step explanation:
exponent fraction rule
Answer:
the first one, 6^2/3
Step-by-step explanation:
PLEASE HELP Vance is buying a new car for $23,084. If he is
trading in his old car for $9,567 to go towards
his new car, how much will he need to pay
for his new car?
Answer:
23,084-9,567= 13,517 so he will have to pay $13,517
Does anyone know this ? Thank you in advance
Answer:
D. W corresponds to E
find the area of the figure. please help my teacher is waiting.......
Answer:
The area of the shape is 89m²
Step-by-step explanation:
You need to subtract the area of the empty triangle from the area of the rectangle.
The rectangle's area is 13m × 8m = 104m²
The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²
Subtract the triangle's area from the rectangle:
104m² - 15m²
= 89m²
add 4 1/7+5 3/7+2/7.
Answer:
9 6/7 is the answer
find the number such that three times the sum of two and a number is three less than four times the number
Answer:
9
Step-by-step explanation:
let the number be n then 3 times the sum of 2 and the number is
3(n + 2) = 4n - 3 ( 3 less than 4 times the number )
3n + 6 = 4n - 3 ( subtract 3n from both sides )
6 = n - 3 ( add 3 to both sides )
9 = n
That is the number is 9
Find the value of x. Please help :(
Answer:
x = 65
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
80+30+70=180, so 70+x = 90 so x =20
The graph shows the locations of point C and point D. Point E is graphed at (n, 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.
Answer:
4,n=4
Step-by-step explanation:
D=(n,-2) and E=(n,2)
the distance from D to E ,
√{(n-n)^2+(-2-2)^2}=√16=4
the co-ordinate of point C=(0,-2)
given,DC=DE
→√{(n-0)^2+(-2+2)^2}=√16
→n^2=16
therefore,n=4
Is x=10 a solution to this equation? 3x2 = 900
all expressions equivalent to 6x+1-(3x-1)
What value from the set { 1/2, 1/4, 6/4, 10/3 } is a value of x that will make the equation 3/5 ÷ x = 12/5 true?
Answer:
1/4
Step-by-step explanation:
[tex] \frac{3}5 \div x = \frac{12}{5} \\ \\ \frac{3}{5 } \times \frac{1}{x} = \frac{12}{5} \\ \\ \frac{3}{5x} = \frac{12}{5} \\ \\ x = \frac{3 \times 5}{12 \times 5} \\ \\ x = \frac{1}{4} [/tex]
Evaluate the expression for
b = -6.
3b =
Answer:
-18
Step-by-step explanation:
Hope that helps
You do 3(-6) to get neg 18
Answer:
-18
Step-by-step explanation:
-6 x 3 = - 18.
Calculate the PERIODIC interest rate for a $10,000 loan
compounded semi-annually at a rate of 14%.
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
55 lbs of $0.40 and 45 lbs of $1.40
Step-by-step explanation:
Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.
There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:
0.4 * x + 1.4 (100-x) = 0.85 * 100
Solve!
0.4x + 140 - 1.4x = 85
-x + 140 = 85
-x = -55
x = 55
From this we get that 100 - x = 45.
So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40
The price of an Item has risen to $108 today. Yesterday it was $80. Find the percentage increase.
Answer:
74%
Step-by-step explanation:
For the rhombus below, find the measure of 1, 2, 3, and 4.
Answer:
Angle 1 is 51, Angle 2 is 51, Angle 3 equal 39, Angle 4 is 51
Step-by-step explanation:
A rhombus diagonals are perpendicular so all the angles in the middle of the rhombus measure is 90 degrees. So this means we are dealing with 4 right congruent triangles.
Since a rhombus is a paralleogram, it opposite sides are parallel. Since there is a line that it cuts through the parallel line, Angle 3 and 39 are alternate interior angles.
Alt. interior angles are congruent so Angle 3=39.
In the upper left triangle, angle 3 ,angle 4, and the middle angle form 180 degrees since it a triangle. The middle angle measure 90 degrees. so we can find angle 4.
[tex]39 + 90 + x = 180[/tex]
[tex]129 + x = 180[/tex]
[tex]x = 51[/tex]
so angle 4=51.
Angle 4 and Angle 1 are alt. interior angles so that means Angle 1 also equal 51.
Rhombus also has angle bisectors to angle 1=angle 2.
Angle 2=51.
What can you tell me about the vertex and line of symmetry? Where are they? How do you calculate them?
Answer:
Formula Of Vertex and Line of symmetry
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex"
Part D
Write an expression for the area of square 5 by combining the areas of the four
triangles and the one square.
IM CONFUSED PLEASE HELP
Answer:
the area would be 10 i
Step-by-step explanation:
reason being the base is 4 and the height is 5 the answer was right for me
what i has highlighted in the picture is the answer
Katy and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 1 hour and 45 minutes. What time was it when Katy and her sister finished playing soccer?
Reward:Brainliest
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer:
15:00 PM and 3:00 PM ,they mean the same exact thing
Step-by-step explanation:
Enter the equation of the circle described below.
Center (3, -2), radius = 5
Answer:
[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]
Step-by-step explanation:
The equation of the circle with center A=(a,b) and radius = r are:
[tex](x-a)^{2}+(y-b)^{2} =r^{2}[/tex]
When A=(3,-2) and radius=r=-5
[tex](x-3)^{2} +(y+2)^{2} =5^{2}[/tex]
A smoothie recipe calls for 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup. Create a ratio table that lists the ingredients for 1, 2, 4 & 10 smoothies.
Please help I will give brainliest
Answer:
The ratio of milk to chocolate syrup is 3 to 1.
There are 2 tablespoons of chocolate syrup to 6 cups of milk.
There are 4 tablespoons of chocolate syrup to 8 frozen bananas to 12 cups of milk
Step-by-step explanation:
Answer:
3 cups of milk =2 frozen banana and 1 tablespoon of chocolate syrup
1 cups of milk =2:3frozen banana and 1:3 tablespoon of chocolate syrup
2cups of milk =2*2/3=4:3 frozen banana and 1*2/3=2:3 tablespoon of chocolate syrup
4cups of milk =2*4/3=8:3 frozen banana and 1*4/3=4:3tablespoon of chocolate syrup
10cups of milk =10*2/3=5:3frozen banana and 1*10/3=10:3tablespoon of chocolate syrup
Help me please will mark
Answer:
1. A = 64 cm²
2. A = 240 yd²
3. A = 220.5 cm²
4. A = 193.4 m²
Step-by-step explanation:
1. We want to split this figure into two rectangles. We know the top figure is a rectangle because a rectangle has four right angles. For the bottom rectangle, because the sides are all perpendicular, all of the angles are also right angles.
Because they're rectangles, opposite sides are congruent. So now you can find the measures of the sides.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
2. We want to split this figure into a triangle and a rectangle.
Because the bottom figure has four right angles, we know that it's a rectangle. Therefore, its side measures are 24, 24, 8, and 8 because opposite sides of a rectangle are congruent.
For the triangle, because the sum of the triangle's base and two other segments is 24, we can use 24 - (6 + 6) = base. So the triangle base is 12.
Do this same thing to find the height of the triangle.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
3. We want to split this figure into a triangle and semicircle.
We're already given that the height is 15 and part of the base is 8, but there is no way to assume that the other part of the base is also 8. Remember, it's not to scale.
We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent, so the two radii present are both 8.
Because of Reflexive Property, the other part of the triangle base is now proven to also be 8.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
4. We want to split this figure into a rectangle and semicircle.
For the rectangle, because the sides are all perpendicular, all of the angles are also right angles. So we can prove that it is a rectangle.
Because this is a rectangle, opposite sides are congruent. So we have the sides of 15, 7, 15, and 7.
We know that this is a semicircle because there is a diameter present (a segment that intersects the center of the circle). This means that all radii of the circle are congruent.
Because of Reflexive Property, we know that the diameter of the circle is 15. The radius is half the diameter, meaning all radii are 1/2 (15), or 7.5.
Refer to the image below for the rest.
Don't forget to add up the two areas for the total area of the whole figure.
The cost of levelling a rectangular field at
50 per square metre is 30,000. If its length
and breadth are in the ratio of 3: 2, then find
its perimeter. pls help
Answer:
The perimeter of a rectangular field is 100 meters
Step-by-step explanation:
The given data of the rectangular field are;
The unit cost of levelling the rectangular field, U[tex]_c[/tex] = 50/m²
The total cost of levelling the field, T[tex]_c[/tex] = 30,000
The length to breadth ratio of the field, L:B = 3:2
Where;
L = The length of the field
B= The breadth of the field
From the given data of the field, we have;
The area of the field, A = T[tex]_c[/tex]/U[tex]_c[/tex]
∴ A = 30,000/(50/m²) = 600 m²
The area of the field, A = 600 m²
The formula for the area of a rectangle, A = Length, L × Breadth, B
A = L × B
We are given that the length to breadth ratio of the field, L:B = 3:2
∴ L/B = 3/2
L = (3/2) × B
The area of the rectangular field, A = L × B
∴ The area of the rectangular field, A = (3/2) × B × B = (3/2) × B²
A = (3/2) × B²
From the calculation for the cost of levelling the field, we have, A = 600 m²
∴ A = (3/2) × B²
A = 600 m²
By transitive property, we have;
(3/2) × B² = 600 m²
B² = (2/3) × 600 m² = 400 m²
B = √(400 m²) = 20 m
The breadth of the field, B = 20 m
From L = (3/2) × B, we have;
L = (3/2) × B
∴ L = (3/2) × 20 m = 30 m
∴ The length of the field, L = 30 m
The perimeter, 'P', of a rectangle given the length, 'L' and breadth, 'B', is given as follows;
The perimeter of a rectangle, P = 2·L + 2·B
Therefore, for the rectangular field, we have;
P = 2 × 30 m + 2 × 20 m = 60 m + 40 m = 100 m
The perimeter of a rectangular field, P = 100 m.
The number of students enrolled at a college is 14,000and grows 4%each year
Answer:
so what exactly is the question? it's not complete yet, I guess..what do you want me to find?
Bob earns $2900 per month. 15% of his salary is deducted for his car loan. Which operation do I use?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Bob earns $2900 per month. 15% of his salary is deducted for his car loan.
First, we need to calculate the deduction for the car:
Deduction= 2,900*0.15
Deduction= $435
Now, the monthly salary that remains for Bob:
Montlhy salary= 2,900 - 435
Monthly salary= $2,465
Item 9 Find the surface area of the cone with diameter d and slant height l. Round to the nearest tenth. d=12 cm l=85mm
Answer: [tex]160.28\ cm^2[/tex]
Step-by-step explanation:
Given
diameter of cone [tex]d=12\ cm[/tex]
radius is [tex]r=\frac{d}{2}=6\ cm[/tex]
The slant height of the cone [tex]l=85\ mm\approx 8.5\ cm[/tex]
The surface area of a cone is
[tex]\Rightarrow A=\pi rl[/tex]
Substitute the value
[tex]\Rightarrow A=\frac{22}{7}\times 6\times 8.5=160.28\ cm^2[/tex]
.
Simplify the expression. (–5g5h6)2(g4h2)4
A. 25g26h20
B. –25g26h20
C. 25g15h14
Answer:
Step-by-step explanation:
(–5g^5 h^6)^2 × (g^4 h^2)^4 the ^ carot symbol means raised to power X
(25 g^10 h^12) × (g^16 h^8) exponents raised to powers MULTIPLY
-5² = 25 g^5² = g^10 h^6² = h^12 do the same thing with (g^4 h^2)^4
25 g^(10+16) h^(12+8) collecting terms powers ADD
25 g^26 h^20 Which letter is the answer?
Did you follow my explaination?
Answer:
B. –25g26h20
Step-by-step explanation: