Answer:
15°
Step-by-step explanation:
∠GOI=150°
∠HOG=30°
∠HIG=30°/2=15°(Circle angle)
A certain forest covers an area of 1900km^2. Suppose that each year this area decreases by 7.75%. What will the area be after 14 years?
Answer:
Assume that 1900km^2 is 1900.
If that happens, The equation of that will look like...
1900 - (1900 x 7.75% x 14)%.
1900 x 7.75% are 147.25.
and 147.25 x 14 are 2061.5.
so... there will be no forest after 14 years.(harsh)
Hope it helps!
The area of the forest after 14 years would be 614.1617 km².
We have,
Let's denote the initial area of the forest as A₀ = 1900 km².
The decrease in the area each year is 7.75%, which means that the remaining area after each year is 92.25% of the previous year's area.
i.e
[tex]A_i= A_0[/tex] (1 - 0.0775)
where Aᵢ is the area after i years.
To find the area after 14 years.
A₁₄ = 1900 x [tex](1 - 0.0775)^{14}[/tex]
= 1900 x 0.3232430884671
= 614.1617 km²
Therefore,
The area of the forest after 14 years would be 614.1617 km².
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(03.03) Match the number with its opposite.
Answer:
-3.2 is the opposite of 3.2
2.3 is the opposite of -2.3
1.5 is the opposite of -1.5
-5.1 is the opposite of 5.1
Step-by-step explanation:
If your value is a positive, make it a negative
Ex. 3-->-3
If your answer is a negative, make it a positive
Ex. -3-->3
Answer:
-3.2 is the opposite of 3.2
2.3 is the opposite of -2.3
1.5 is the opposite of -1.5
-5.1 is the opposite of 5.1
out of 40 coins, 16 are dimes. half of the remaining coins are quarters and the rest are pennies and nickles. these are 2 nickles for every penny. how many pennies are there?
===========================================
Work Shown:
40 coins total
16 are dimes
40-16 = 24 coins are not dimes
Half of this is 24*(1/2) = 12 which are quarters. The other half (12) are pennies and nickels
n = number of nickels
p = number of pennies
This means n+p = 12 so that we have 12 pennies and nickels combined.
"There are 2 nickels for every penny", so we can write n = 2p. If p = 1, then n = 2. If p = 2, then n = 4, etc. Whatever p is, we double it to get n.
So,
n+p = 12
2p+p = 12
3p = 12
p = 12/3
p = 4, we have 4 pennies
n = 2p
n = 2*4
n = 8 and 8 nickels
-----------------------------------------
Here are all the coin counts
16 dimes12 quarters8 nickels4 pennies16+12+8+4 = 40 coins total
Answer:
Option (B) is correct, 4 pennies.
Image attached: finding geometric mean
Answer:
I think it's A
Write an equation that expresses the relationship. Then solve the equation for u. B varies directly as the cube of t and inversely as u
Answer:
Below
Step-by-step explanation:
B varies directly with the cube of t so:
● B = t^3
B varies inversly as u
● B = 1/u
Let's solve the equation for u:
B= 1/u = t^3
● B= 1/u
Switch u and B
● u = 1/B = 1/t^3
If u is 1 then b and t are also 1.
2/3% as a fraction pls i need to know thx
Answer:
Hey there!
2/3% is basically 2/3's of 1 percent.
Thus, as a fraction we get 2/300.
Hope this helps :)
Answer:
1/150
Step-by-step explanation:
2/3%
We know that 1% = 1/100
2/3% = (2/3)/100
2/3% = 2/(3 × 100)
2/3% = 2/300
2/3% = 1/150
The reflection of a function ƒ(x) across the y-axis is represented as
Answer:
f(-x)
Step-by-step explanation:
which statements are true for the function g(x)=x^2 and h(x)=-x^2? check all tht apply
Answer:
where are the statements...
mention the statements first
We can calculate the depth ddd of snow, in centimeters, that accumulates in Harper's yard during the first hhh hours of a snowstorm using the equation d=5hd=5hd, equals, 5, h. How many hours does it take for 111 centimeter of snow to accumulate in Harper's yard? hours How many centimeters of snow accumulate per hour? centimeters
Answer:
a) Number of hours it takes 1 centimetre of snow to form in Harper's yard = (1/5) hour = 0.20 hour
b) Centimetres of snow that accumulate per hour = 5 cm
Step-by-step explanation:
Complete Question
We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.
a) How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? hours
b) How many centimeters of snow accumulate per hour? centimeters
Solution
The depth of snow, d, in centimetres that accumulates in Harper's yard in h hours is given d = 5h
a) Number of hours it takes 1 centimetre of snow to form in Harper's yard.
d = 5h
d = 1 cm
h = ?
1 = 5h
h = (1/5) = 0.20 hour
b) Centimetres of snow that accumulate per hour.
d = 5h
In 1 hour, h = 1 hour
d = ?
d = 5 × 1 = 5 cm
Hope this Helps!!!
Answer:
1/5 hours
5 centimeters
Step-by-step explanation:
Can someone please help me?
Answer:
1. 25,000+1000x
2. 19,000+1500x
3. 25000+1000x>19000+1500x
Step-by-step explanation:
For the 1st it is 25,000 because that is what he starts off with and there is an x behind 1000 because it depends on how many years he receives the bonus. For example, if he was there for 3 years the equation would look like 25000+1000(3).
For the 2nd one, it is the same concept as the first one.
For the third one, it says that Nicholas will make more money so the greater symbol has to be facing the equation that stands for his amount of money.
Hope this helps!
Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified? It has 3 terms and a degree of 9. It has 3 terms and a degree of 10. It has 4 terms and a degree of 9. It has 4 terms and a degree of 10.
Answer: The polynomial has 3 terms and a degree of 10.
Step-by-step explanation:
The given polynomial: [tex]5s^6t^2 + 6st^9 - 8s^6t^2 - 6t^7[/tex]
Here, two terms [tex]5s^6t^2[/tex] and [tex]8s^6t^2[/tex] have same power for s and t i.e. they are like terms.
Combine like terms , we get
[tex]6st^9 - 3s^6t^2 - 6t^7.[/tex] i.e. there are 3 terms.
Degree of [tex]6st^9[/tex] is 1+9=10;
Degree of [tex]- 3s^6t^2[/tex] is 6+2=8;
Degree of [tex]- 6t^7[/tex] is 7.
Since degree of the polynomial = highest degree i.e. 10
Hence, the polynomial has 3 terms and a degree of 10.
The statement which is true about the polynomial 5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷ is; It has 4 terms and a degree of 10.
Discussion:
By counting the number of terms in the polynomial;
We can conclude that the polynomial has 4 terms and hence can be called a tetranomial.Additionally, the degree of the polynomial is 10.
This is from the term with the highest degree which is; 6st⁹; where s has degree 1 and t has degree 9; total of which is; 10.
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Find the surface area of a square pyramid where the length of a side of the base is 10 cm and the slant height of the pyramid is 16 cm.
Answer:
420
Step-by-step explanation:
First, you multiply the base by the slant height for the area of one triangle (160). Then multiply that by 1/2 to complete the area equation. 80*4 (four triangles equals 320. Then you multiply to find the base area 10*10= 100. Add those numbers together to get 420.
The surface area of the pyramid is 178.9 square centimeter.
We have a pyramid with the base edges (L) = 10 cm and slant height (S) = 16 cm .
We have to find the Surface area of the pyramid.
What is the formula to find the surface area of the pyramid with base edge = L, base width = w and pyramid height = h?The formula is -
[tex]S.A. = L^{2} + L\sqrt{L^{2} + 4h^{2} }[/tex]
Now, firstly find the height of the pyramid - using the Pythagoras theorem-
[tex](S)^{2} =(\frac{L}{2} )^{2} +h^{2} \\h^{2} = (S)^{2} - (\frac{L}{2} )^{2}\\h = \sqrt{(S)^{2} - (\frac{L}{2} )^{2}} \\[/tex]
h = 15.19 cm
Substituting the value of height in the formula of surface area -
S.A. = [tex](5)^{2} +5\sqrt{(5)^{2}+4(15.19)^{2} } \\[/tex] = 25 + 5 x 30.78 = 178.9 square centimeter.
Hence, the surface area of the pyramid is 178.9 square centimeter.
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What is the length of the hypotenuse in the right triangle shown below?
Answer:
A. 6 √2
Step-by-step explanation:
If a triangle is a 45-45-90 triangle then,
Theorem 5-13: If each acute angle of a right triangle has a measure of
45 degrees, then the measure of the hypotenuse is the square root of two times as long as a leg (45, 45, 90 Theorem).
so the hypotenuse is x√2, and x = 6 (side length)
eighty-four hundredths in standard form
Answer:
.84
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
.84
▹ Step-by-Step Explanation
The hundreths place is 2 decimal places so..
.84
Hope this helps!
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Which expression can be used to find the surface area of the following triangular prism?
Answer:
132 cm^2
Step-by-step explanation:
Area of the two triangles + Area of the three triangles
2x1/2x3x4 + 5x10 + 4x10 +3x10 = 132 cm^2
The rules used in my answer are:
Area of the ∆ are Half x Base x HeightArea of the rectangle Length x WidthJohn buys a pizza that has an 8-inch diameter and is cut into 12 congruent slices. What is the length of the outer
edge of any one slice of pizza, in inches?
Answer:
D. 2/3π inch
Step-by-step explanation:
360°/12=30° each slice of pizza is 30°.since they are all congruent:
c= 2πr*30°/360°
c=2(4)π* 1/12
c=8π/12
c=2/3π inch
The length of the outer edge of any one slice of the pizza is 2.09 inches
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
What is Diameter?A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
What is Sector of a circle ?A circular sector, also known as circle sector or disk sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
Given,
Diameter of the pizza = 8 inches
Number of slices =12
We know that,
A circle has a total of 360 degrees all the way around the center
Then angle of each size of pizza = [tex]\frac{360}{12}=30[/tex] degrees
Length of the outer edge of any one slice of pizza = Length of the arc of the sector
Arc length = [tex]2\pi r(\frac{angle}{360})[/tex]=[tex]2\pi (4)(\frac{30}{360})[/tex]
Arc length = 2.09 inches
Hence, the length of the outer edge of any one slice of the pizza is 2.09 inches
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Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?
Answer:
It's not a real solution
Step-by-step explanation:
From the set {20, 30, 35}, use substitution to determine which value of x makes the inequality true. x - 5 > 25 A. 30 B. 20 C. none of these D. 35
Answer:
D. 35
Step-by-step explanation:
20-5>25 = 20>25 incorrect
30-5>25 = 25>25 incorrect
35-5>25 = 20>25 correct
Help Help Help ! Math wiz
Answer:
This is not an exponential function because the variable is in the exponent position.
PLEASE THIS IS REALLY IMPORTANT HELP!!!
Answer:
11) HEJ , 25°
12) JEK , 50°
13) JEF
14) DEF
Step-by-step explanation:
11)
Well angle HEJ by using the protractor has a angle measure of 25°.
12)
Angle JEK has a angle measure of 50°
13)
Angle JEF is a right angle because it has a measure of 90°
14)
Angle DEF is a straight angle because it has a angle measure of 180°
Hope this helps :)
Johns made two 120 mile trips. He made his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours. What was his average rate, in miles per hour, for the second trip?
Answer:
120 miles:4 hours
Step-by-step explanation:
Johns made
two 120 mile tripsthere are a total of 2 120 mile trips
his second trip in one hour less time than his first trip. The total time for the two trips was 9 hours9 hours = 4 hours + 5 hours (5 hours - 4 hours = 1)
What was his average rate, in miles per hour, for the second trip?120 miles:4 hours simplify to 30 miles:1 hour
Answer: this answer is 30 miles per 1hr so it took 4hr for the second trip
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What is the measure of XZ (the minor arc)?
A. 116
B. 290
C. 244
D. 58
Answer:
D
Step-by-step explanation:
The required measure of XZ (the minor arc) is 116. Option A is correct.
In the figure, a circle gave with 3 arc divisions XY, YZ, and XZ. And angle 58 at point y.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by. (x-h)²+(y-k)²=2 where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
Since by the property of the circle the angle subtended by arc to the vertex corresponding to the center is half the measure of the angle subtended by the arc to the center.
so, let the center of the circle is o.
Now,
measure of XZ = 2 * 58
= 116
Thus, the required measure of XZ (the minor arc) is 116.
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Which of the following verifies that AABC is similar to A DEF?
Answer:
D
Step-by-step explanation:
According to the SAS theorem, if the 2 sides of the 2 triangles are multiples of each other by the same scale factor, with the angle in between them being the same for each triangle. The triangles are similar.
The SSS theorem is not appropriate here because we do not know the side lengths of AB or DE in the diagram. For SSS theorem we need to know all of the side lengths.
A is incorrect because the similarity can be determined.
Please help me I have a lot of hw please 11=f-16
Answer:
f = 27
Step-by-step explanation:
11 = f - 16
Add 16 to both sides.
11 + 16 = f - 16 + 16
27 = f
is 12/4 rational or irrational
Answer:
rational
Step-by-step explanation:
The improper fraction 12/4 is a rational number. It is equivalent to the whole number 3, which is an integer.
ASAP!!! ON A TIME LIMIT!!!
Which expression is equivalent to 10k+17-7j-18-11k
-8jk-1
-7j-k-1
-7j+k+1
-8j-k
Answer:
-7j-k-1
Step-by-step explanation:
10k + 17 - 7j -18 -11k
10k-11k
-1k
17-18
-1
-7j-k-1
Letters a, b, c, and d are angle measures.
Which should equal 105° to prove that f // g?
Оа
Oь
n
a
Ос
6
750
d
g
Answer:
d
Step-by-step explanation:
Write an equation of the line that satisfies the given conditions. Give the equation (a) in slope-intercept form and (b) in standard form.
Through (-2,4): perpendicular to x=8
(a) The equation of the line in slope-intercept form is_____.
Answer:
y = 4
Step-by-step explanation:
The line x=8 is a vertical line. The perpendicular line will be horizontal, with a slope of 0. In order for it to go through the given point, the y-intercept must match the y-value of the point. The equation is ...
y = 0x +4 . . . . . slope-intercept form with slope explicitly shown as 0
This simplifies to ...
y = 4
Elena has 32 hair ties. Melanie has 8 hair ties. The ratio of Elena’s hair ties to Melanie’s hair ties is : 1. If, Melanie gets 4 more hair ties, the new ratio of Elena’s hair ties to Melanie’s hair ties is 8 : . Helppppppp me
Answer:
4:1 & 8:2
Step-by-step explanation:
The ratio is 32/8
When simplified it will be 4/1
Since the next ratio is 8/x, make the equation 4x = 8
Because x = 2 the ratio will be 8/2
Whats up with brainly and the answers loading is it only me? someone comment ways to fix or im screwed
Answer: it's not working on my laptop but it seems to be working on the phone right now
Answer:
can somebody help asap !!!
Step-by-step explanation: