Answer:
If they are similar, the ratio of 10/3 should be the same as the 3/x
then solve
10/3 = 3/x
cross multiply
10x=8
x = 9/10
so C. is the right answer
The missing value in the smaller cone is 0.9 units.
What is similarity?Similarity in math is a concept that relates to the shape and size of figures. Two figures are similar if they have the same shape, but not necessarily the same size.
Given that, two similar cones, we need to find the value of x in the smaller cone,
Since, the cones are similar, then according to the definition of similarity,
we know that the dimensions will be in equal proportion,
Let the dimensions of the big cone be H (height) and R (radius) and that of smaller cone be h (height) and r (radius)
So,
H / R = h / r
10 / 3 = 3 / x
x = 9/10
x = 0.9
Hence, the missing value in the smaller cone is 0.9 units.
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Without plotting these numbers, decide which inequalities are true. Check all that apply.
Square root of 7 > 2
Square root of 7 <7
Square root of 7< square root of 8
Square root of 8<2
Square root of 8<8
Answer:
1st,2nd,3rd, and 5th option
Step-by-step explanation:
Let convert the intergers into radical numbers
[tex] \sqrt{7} > \sqrt{4} [/tex]
[tex] \sqrt{7} < \sqrt{49} [/tex]
[tex] \sqrt{7} < \sqrt{8} [/tex]
[tex] \sqrt{8 } < \sqrt{4} [/tex]
[tex] \sqrt{8} < \sqrt{64} [/tex]
As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,
The first option, Second Option, Third Option, and Fifth Option are true.
Answer:
A, B, C, E
Step-by-step explanation:
Did on edg. its right
Tiffany drove from New York to California over the course of 8 days. Each day, she took a one- hour lunch break and a two-hour dinner break. What fraction of the total number of hours in these eight days did she spend breaking for lunch and dinner?
A. 1/8
B. 1/6
C. 1/4
D. 3/8
What is the value of s?
____units
Answer:
[tex]\huge\boxed{s=17}[/tex]
Step-by-step explanation:
ΔADB is the right triangle with a right angle in vertex B. We can use the Pythagorean theorem.
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=15\\leg=8\\hypotenuse=s[/tex]
Substitute:
[tex]s^2=15^2+8^2\\\\s^2=225+64\\\\s^2=289\Rightarrow s=\sqrt{289}\\\\s=17[/tex]
Question 2 of 5
Which two ratios represent quantities that are proportional?
Answer: A
Step-by-step explanation:
(22)(21)=(14)(33)
Write an expression equivalent to 6(x+y)-5 and state which property you used to write
Answer:
6x+6y-5 distributive property
Step-by-step explanation:
6(x+y)-5
Distribute using the distributive property
6x+6y-5
hey can someone help me? thanks
Select the correct answer.
Function ris a continuous rational function with a horizontal asymptote at y = -8.
Which statement describes the key features of s(t) = (x +2) – 12
A. Function s is continuous and has a horizontal asymptote at y = -1.
В. Function shas a point of discontinuity at I = -2 and a horizontal asymptote at y= -9.
C. Function s has a point of discontinuity at r = -2 and a horizontal asymptote at y = -1.
D. Function sis continuous and has a horizontal asymptote at y = -9.
s(x) is continuous and has a horizontal asymptote at y = -9
We know that we have a function r(x) that has a horizontal asymptote at y = -8
Then, what can we say about the function s(x) = r(x + 2) - 1 ?
Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.
So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.
So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.
Then is easy to conclude that:
r(x + 2) also has a horizontal asymptote at y = -8
And our function is:
s(x) = r(x + 2) - 1
So we are subtracting one, then that horizontal asymptote will be at:
y = -8 - 1 = -9
The function s(x) has a horizontal asymptote at y = -9
And because r(x) is continuous, then:
s(x) = r(x + 2) - 1
is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)
Then the correct option is D.
"s(x) is continuous and has a horizontal asymptote at y = -9"
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Can you answer this math homework? Please!
Answer:
The system has one solution,
Both lines have the same y-intercept,
The solution is the intersection of the 2 lines.
Step-by-step explanation:
please help I will give 10 points
Answer:
x = 13.75
Step-by-step explanation:
a right-angled triangle.
so, we use Pythagoras
c² = a² + b²
where c is the Hypotenuse (the side opposite of the 90 degree angle).
so, in our case
17² = 10² + x²
289 = 100 + x²
189 = x²
x = 13.75
cos(30 +x) =5/3 find x
Answer:
no solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
I get no solution also (the answer is imaginary).
please help me with this
Answer:
false
Step-by-step explanation:
If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"
Answer: False
Step-by-step explanation: When x is at least 2, x would be greater than or equal to 2. X cannot be less than 2. So, it should be x >= 2.
Hope this helped.
the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.
Let n be the smallest of the three numbers. Then
n + (n + 1) + (n + 2) = 5 ((n + 1) - 22)
Solve for n :
3n + 3 = 5 (n - 21)
3n + 3 = 5n - 105
2n = 108
n = 54
Then the three numbers are 54, 55, and 56.
what is -1/4 as a decimal? help me!!
Answer:
- 0.25
Step-by-step explanation:
Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.
Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?
Answer:
12 miles
Step-by-step explanation:
1/3 of an hour = 20 minutes = 4 miles
1 minute = 4/20 miles
60 minutes = 4/20 x 60 miles
= 4 x 3 miles
= 12 miles
60 minutes = 1 hour
=> 1 hour = 12 miles
Jacks unit rate is 12 miles/hr
Answer:
12
Step-by-step explanation:
There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round
4/0.333333333 = 12.000000001
The answer is obviously meant to be 12.
The other way is more sophisticated, but more accurate.
4/1 // 1/3 This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.
4/1 * 3/1 = 12
The first method is easier to understand. The second is more accurate and more useful for physics.
Write the greatest 4 digit number and express in prime numbers.
Answer:
9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.
Step-by-step explanation:
Find the range of f(x) = 5x - 4 for the domain = {2, 4, 6}]
Answer:
Step-by-step explanation:
For this question they are asking you to find y when x is {2, 4, and 6}
That means you need to plug 2,4, and 6 into the equation and solve.
For example:
f(x) = 5x - 4
f(2) = 5(2) - 4
f(2) = 10 - 4
f(2) = 6
f(x) = 5x - 4
f(4) = 5(4) -4
f(4) = 20 - 4
f(4) = 16
f(x) = 5x - 4
f(6) = 5(6) - 4
f(6) = 30 - 4
f(6) = 26
Answer:
6,16,26 is the answer
Step-by-step explanation:
what is the value of g(2)?
Answer:
g(2)=1
Step-by-step explanation:
We need to use the second definition of the function since x=2
g(2) = 2^3 -9(2)^2 +27(2) -25
= 8-9(4) +54 -25
= 8-36+54-25
= 1
SOMEONEEEEE PLEASEEEEEE HELPPPPP MEEEEEEEEE ASAPPPP!!
Answer:
8/15
Step-by-step explanation:
Since this is a right triangle
tan C = opp side / adjacent side
tan C = 8/15
A number is equal to three times a smaller number also the sum of the smaller number and four is the larger number the situation is right on the corner playing below where X represents the smaller number and why represents the larger number
Answer:
I'm assuming that "why" is not part of this problem so this too is not answerable
similar right triangles, i need help with this please
Answer:
Step-by-step explanation:
the answer is a)
Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and garden together make a rectangle with length 3 1/2 and width 3m
Find the area of just the trench.
Answer:
Area of the rectangular trench = 1 square meter
Step-by-step explanation:
length of the garden = 2 1/2 m width of the garden = 2 m
length of both garden and trench = 3 1/2 m
width of both garden and trench = 3m
Length of the trench = Difference in length
= 3 1/2 m - 2 1/2 m
= 7/2 - 5/2
= (7 - 5) / 2
= 2/2
= 1 m
Length of the trench = 1 m
Width of the trench = difference in width
= 3 m - 2 m
= 1 m
Width of the trench = 1 m
Area of the rectangular trench = length × width
= 1 m × 1 m
= 1 m²
Or
1 square meter
Area of the rectangular trench = 1 square meter
In this figure BAE = DEA. Which statement is true by CPCTC?
BEA=BEC
GAE=GFA
DGE=FGA
FGB=FGE
Answer:
Step-by-step explanation:
You buy tomato sauce for $0.37 per ounce. One portion of potato gnocchi requires 3.5 ounces of tomato sauce. How much does the sauce for one portion cost? Round to the nearest cent.
Select one:
a. $1.30
b. $1.31
c. $1.28
d. $1.29
The cost of the tomato sauce for one potion given the cost per ounce is $1.30.
What is multiplication?Multiplication is the process of determining the production of more than one number. It is an example of a mathematical operation.
What is the cost of one portion of the sauce?In order to determine the answer, multiply the cost per ounce by the total ounces needed for one portion.
$0.37 x 3.5 = $1.30
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A) 78.5 cm
B) 4.7cm
C) 5.8cm
D) 23.0 cm
Answer:
The answer to this would be B.) 4.7 cm
Step-by-step explanation:
Arch = (Angle/360)(2[tex]\pi[/tex]r)
= (45/360)(2[tex]\pi[/tex]6)
= (0.125)(12[tex]\pi[/tex])
=1.5[tex]\pi[/tex]
≈4.71cm (assuming [tex]\pi[/tex] = 3.14)
Since an arch of a circle is just part of the circumference, you just need to multiply the circumference by the measure of the arch's angle divided by 360 (the angle measure of a circle).
SMART PPL PLEASE LOOK AT THIS I BEG YOU AND I WILL DO ANYTHING U WANT!!
Answer:
the real answer is
2X/19
Use the graph below for this question:
what is the average rate of change from x = 0 to x = 2?
a) 3
b) -1
c) 2
d) -2
The average rate of change is the same as the slope. Even though this graph is a parabola, we still use the slope formula with the corresponding points. Had the question asked for the instantaneous rate of change, we would have needed to find a derivative.
Slope formula: (y2 - y1) / (x2 - x1)
Point 1: (0,4)
Point 2: (2,8)
(8 - 4) / (2 - 0)
4 / 2
2
The average rate of change from x = 0 to x = 2 is 2.
Hope this helps!
Point P is the incenter of DEF. Point P is the point of concurrency of the angle bisector. Find AP.
Answer:
5
Step-by-step explanation:
because line PF DIVIDED LINE BPA INTO TWO EQUAL HALF THEREFORE LINE BP IS EQUAL TO LINE AB WHICH IS EQUAL TO 5
The required value of the PV is 12 in the triangle DEF where p is the incenter.
Given; Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.
What is incenter?The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle.
In expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.
Since in the triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.
From image given,
PW = 12
So by the property of the incenter, perpendicular distance from this point to any of the sides of triangle is the same.
PW = PV
PV = 12
Therefore, the required value of the PV is 12 in triangle DEF where p is the incenter.
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(iii) 3mn x 4m
what is this simplified
Answer:
12m²n
Step-by-step explanation:
→ Collect the m and n terms together
12m²n
Find the least number when divided by 75,125 and 225 Leaves a remainder 6 in each case.
Answer:
676,131
Step-by-step explanation:
L.C.M of 75,125 and 225,
=>676,125
Leaves a remainder 6 means,
=>676,125 + 6
=>676,131
That means,
When you divide 676,131 by 75,125 or 225,
You get remainder 6 .
That is why we add 6 to the L.C.M
What is the slope of the line that contains these points? x- 31, 36,41,46 y- 10,8,6,4
[tex] - \frac{2}{5} [/tex]
Find questions attached.
Show workings.
You can skip question (a)
The value of x is 40°
Answer:
Solution given:
In triangle BCE
<C+<B+<E=180°[sum of interior angle of a triangle]
<C+60°+x°=180°
<C=180°-60°-x°
<C=120°-x°
again
<A=<C[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]
2x=120-x
2x+x=120°
3x°=120°
x°=120°/3°
x°=40°
Now we have to,
find the required value of x.
Then in ∆ BCE,
By sum of interior angle of a triangle.
→ <C+<B+<E = 180°
→ <C+60°+x = 180°
→ <C = 180-60-x
→ <C = 120-x
Now by the exterior angle of,
A cyclic quadrilateral is equal to the opposite interior angle.
→ <A = <C
→ 2x = 120-x
→ 2x+x = 120
→ 3x = 120
→ x = 120/3
→ x = 40°
Hence, 40° is the value of x.
