Answer:
a) A triangle which the angles ratio is 1 : 2 : 3 is a 30º - 60º - 90º right triangle.
b) The shortest side is opposite to the shortest angle. So, we can calculate it using sin 30º.
[tex]$\text{sin}(30\º)=\frac{\text{Opposite side to x}}{19} $[/tex]
[tex]$\frac{1}{2} =\frac{\text{Opposite side to x}}{19} $[/tex]
[tex]$\text{Opposite side to x}= 9.5$[/tex]
Answer:
see explanation
Step-by-step explanation:
(a)
Sum the parts of the ratio, 1 + 2 + 3 = 6 parts
Divide 180° ( sum of angles in a triangle ) by 6 to find the value of one part of the ratio.
180° ÷ 6 = 30° ← value of 1 part of the ratio, thus
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
Thus the triangle is right
-----------------------------------------
(b)
The sides of a 90°- 60°- 30° triangle are in the ratio
2 - [tex]\sqrt{3}[/tex] - 1 ( where 2 represents the hypotenuse )
Thus the other 2 sides of the triangle are
19 ÷ 2 = 9.5 , and
9.5 × [tex]\sqrt{3}[/tex] ≈ 16.45
The shortest side is 9.5
A manager that owns 3 local area Car Maintenance Garages was researching certifications of mechanics that worked for her company. Consider the following Venn diagram.
What is the probability that a randomly selected mechanic from her 3 garages is ASE certified to work on Brakes? A.3/5. B. 1/2. C. 2/9. D. 4/15
Answer:
B. 1/2
Step-by-step explanation:
In the picture attached, the Venn diagram is shown
amount of ASE certified brakes mechanics: 4+2+2+1 = 9
amount of mechanics: 4+2+2+1+3+3+3 = 18
The probability that a randomly selected mechanic is ASE certified to work on brakes: 9/18 = 1/2
Answer:
B. 1/2
Step-by-step explanation:
Today, the price of a new cell phone is $229. In 2000, the price of a similar cellphone was $345. What is the percent of change in the price of a cell phone from 2000 to today? Round your answer to the nearest whole number
Answer: decrease of 33.62%
Step-by-step explanation:
(345-229) / 345 * 100
Answer:
Cost of cell phone in 2000 = $229
Cost of cell phone in 2020 = $345
% Change in price = 229/345x 100
Answer =66%
Step-by-step explanation:
Consider the following expression 3(4+1)(2y+5). Select all of the true statements below.
Answer: 15
Step-by-step explanation:
What number do you plug in for PV (present value) in the amortization formula?
Answer:
The formula for Amortization is written in my attached picture
An agriculture researcher wants to test the effect of nine soil additives by adding four at a time to different rows of the
same plant. How many different combinations can be tested?
756
126
63
Answer:
126
Step-by-step explanation:
Hope it helped :)
Triangle ABC is transformed to create triangle MNL. 2 triangles have identical side lengths and measures. The second triangle is shifted down and slightly to the right. Which statement is true? The transformation is rigid because corresponding side lengths and angles are congruent. The transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent. The transformation is nonrigid because the two triangles have different names. The transformation is nonrigid because the three sides and the three angles in each triangle have different measures.
9514 1404 393
Answer:
The transformation is rigid because corresponding side lengths and angles are congruent
Step-by-step explanation:
The problem statement tells you angles and side lengths are unchanged, so any answer choice contradicting that can be rejected.
Whether a transformation is rigid or not has nothing to do with naming, so you can reject the "different names" answer choice.
The true statement is ...
The transformation is rigid because corresponding side lengths and angles are congruent
Answer:
The transformation is rigid because corresponding side lengths and angles are congruentA circle with a 12 inch diameter is folded in half and then folded in half again. What is the area of the resulting shape?
Round your answer to the nearest whole number.
Use 3.14 for pi. Do not include units (in2) in your answer.
A sphere with center A is shown. Which represents a radius?
B
С
A.
B. BC
C. DG
D.
FE
Answer:
Segment AD
Step-by-step explanation:
Radius is a line that goes half way. In other words, it starts anywhere, and ends at the center of the circle.
Answer:
AD
Step-by-step explanation:
The radius goes from the center of the circle to the outer edge
AD and AG are radii
-3(x-4) + 7 = 4x - 9
Help me please!!
Answer:x=4
Step-by-step explanation:
Do your distribution rules to get -3x+12+7=4x-9. Then combine like variables to get -3x+19=4x-9. Add the 9 to 19 and get 28 then add the 3 to 4 to get 7. Should look like 28=7x. Divide the 7 to 28 and get the answer of 4
Answer:
X=4
Step-by-step explanation:
-3(x-4)+7=4x-9
-3x(12)+7=4x-9
+3x +3x
12+7=7x-9
+9 +9
12+16=7x
28=7x
28/7
4=x
evaluate the function f(x) = 5x-3
Answer:
x = 3/5 = 0.600
Step-by-step explanation:
I need help...please and thank you :,)
On her first stroke, Maya hit a golf ball 146 yards, 2 feet, 11 inches. On her second stroke, she hit it 163 yards, 1 foot, 2
inches. How far did the ball go altogether? Convert the answer to larger units whenever possible.
A. 311 yards 11 inches
B. 310 yards, 1 foot, 1 inch
C. 309 yards, 3 feet, 13 inches
D. 309 yards, 1 foot, 1 inch
Answer:
A
Step-by-step explanation:
1 yard = 36 inches
1 feet = 2 foots = 24 inches
First time, she's got 5315 inches, second time is 5868 inches
5315 + 5868 = 11183 inches
11183 : 36 = 310.638888889 inches
Change it and we have answer A, 311 yards 11 inches
Find the zeros of the function f(x)=x2+2x-3
Answer:
x = -1 and x = 3
Step-by-step explanation:
f(x)= x^2-2x-3
f(x) = (x + 1) (x - 3)
Therefore, x = -1 and x = 3
The zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
f(x) = x² + 2x - 3
Then the factor of the quadratic equation will be
f(x) = x² + 2x - 3
f(x) = x² + 3x - x - 3
f(x) = x(x + 3) - 1(x + 3)
f(x) = (x + 3)(x - 1)
The zeroes of the function will be
f(x) = 0
(x + 3)(x - 1) = 0
x = 1, -3
Then the zeroes of the quadratic function f(x) = x² + 2x - 3 will be 1 and negative 3.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ5
What is the supplementary angle of
45°?
A. 35º B. 45° C. 135° D. 225° E. 315°
So the right answer is 135 degree.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
c. 135
Step-by-step explanation:
a supplementary angle is an angle that adds up to 180.
so 180-45=135
Please help me with answer I need help now
Answer:
2 + 3
Step-by-step explanation:
The sum of three times a number and three less than the number is thirteen.
(As an equation)
Answer:
3+5x5-3=13
Step-by-step explanation:
You have a total of 32 coins, dimes and quarters, that are worth $2.55. How many of each do you have? (work is what is needed)
Answer:
I think you just need to add those hope this helps. Sorry if it foose noy
Step-by-step explanation:
A number cube has sides that are labeled 1 to 6. Jamal rolls the number cube. What is the probability that he will roll a 2?
Answer:
1/6
Step-by-step explanation:
summer break is almost around the corner. You and your family call an uber and need to know how many miles you can be driven. Uber charges a service fee of $1 and charges $0.52 per mile. Your parents are willing to spend no more than $15. How many miles can be driven?
Answer:
You can go 26 miles
Step-by-step explanation:
15 - 1 = 14
14 ÷ 0.52 = 26.92
Choose the graph of the solution to the inequality x <-12.
20
-10
0
10
20
20
-10
0
10
20
20
--10
0
10
20
20
-10
0
10
20
DONE
Answer:
The graph of the inequality x < -12 would look like the graph I attached
What is the value of the expression below?
16.86 x 103
Answer:
1736.58
Step-by-step explanation:
Answer:
1736.58
Step-by-step explanation:
i multiplied
Please answer correctly !!!! Will mark brainliest !!!!!!!!
Answer:
A
Step-by-step explanation:
Notice how it points it out for the x coordinate, and the closed circle means that point is included, So it's the range of the smallest x coordinate to the greatest x coordinate.
A sample of a mysterious chemical substance
naturally gains mass over time.
The relationship between the elapsed time t, in
years, since the mass of the sample, M(t), in
grams, was initially measured is modeled by
the following function:
4t+3
M(t) = (1.16)
Complete the following sentence about the
yearly percent change in the mass of the
sample.
Round your answer to the nearest percent.
Every year, there is a
%
addition to/ removal from v
the mass of the
sample.
Answer: every year there is an 81% addition to the mass of the sample
Step-by-step explanation:
Khan academy told me
The yearly percent change in the mass of the sample will be 81.06%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
A sample of a mysterious chemical substance naturally gains mass over time.
The relationship between the elapsed time t, in years, since the mass of the sample, M(t), in grams, was initially measured is modeled by the following function:
[tex]\rm M(t) = (1.16)^{4t+3}[/tex]
The yearly percent change in the mass of the sample will be
At t = 0, we have
M(0) = (1.16)³ = 1.561
At t = 1, we have
M(1) = (1.16)⁷ = 2.826
Then the percentage will be
P = [(2.826 – 1.561) / 1.561] x 100
P = 0.8106 x 100
P = 81.06%
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ5
What is the volume of the cone.
Answer:
see below
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 5 and the height is 8
V = 1/3 pi ( 5)^2 (8)
V =200/3 pi ft^3
We can approximate by by 3.14
V =209.33333 ft^3
Or by using the pi button
V =209.4395102 ft^3
Find the missing side, x of the triangle using the appropriate formula.
1 unit
16 units
8 units
2 units
Answer:
x=2
Step-by-step explanation:
triangle area is 1/2BH
1/2(4x)=4
2x=4
x=2 units
Answer:
Missing side = 2
X= 2
Have given details if x was only base of the side triangle
This is in order to find a completely new triangle with just the height and in order to find and combine 1 given area say if just the right side in your diagram was 4 and we had to find the other triangle. This is only done on scale or 1 given measure or angle for the right side triangle. We was not given this but proved a 0.3 scale.
Area of other triangle =2.66^2
2.66+4 combined = 6.66^2
Step-by-step explanation:
We find a square height is also 4
We also know a right angle triangles height can be found using either 1/2 base or 1/2 height.
So this can mean the height is and stays 4 and the base is 2.
As 1/2 4 height = 2 height
2 unit height x 2 unit base = 4
Therefore, the first triangle slant is the same.
4sq +2sq = c^2
√16+√4 = √20
c^2 = √20 = 4.47 = 4.472135955
c = 4.47 slant
Given a=4 and c=4.47,
b = 1.99522
∠α = 63.49° = 63°29'23"
∠β = 26.51° = 26°30'37"
h = 1.78543
We cna tell now that the triangle is 0.333 smaller so the measurements
Show 2/3 of 2 = 1.333 being the base across
using this as Area we find 1.333 x 2 = 2.666
(1/2 h^b of 4) =2
We can prove with the angles
63 +27 degree or
a^2+b^2 = c^2
1.333^2 + 4^2
= √1.776889+√ 16 = √ 17.776889
c^2 = 4.21626481616
c= 4.22 slant left side (nb right side on attachment)
Angle ∠ A = α = 71.478° = 71°28'39″
Angle ∠ B = β = 63.53° = 63°31'48″
Angle ∠ C = γ = 44.992° = 44°59'33″
We see 63 angle on right lower side of attachment picture in reflection and can prove x = 3.333
But on your diagram base x = 2
What i have done is enlarged x by 0.3 and proven how to find x if x was just one side of the triangle's height.
The triangles even though reflected are identical.
Other info is proven through finding ha and hb heights.
We confirm 4.001 is the hc height of your diagram.
Height: ha = 2.984
Height: hb = 3.16
Height: hc = 4.001
20
y
-12
14
-2 21
8
28
What is the y-intercept of the line?
Answer:
-2 21
Step-by-step explanation:
Answer:
y-intercept : (0, -223042)
Step-by-step explanation:
Simplify: 20y-1214-221828
Subtract the numbers: -1214-221828=-223042
= =20y-223042
y-intercept : (0, -223042)
Hope this helps.
Which function represents the graph below?
Answer:
The inequalities all need to be of the form a < x ≤ b. i think that is it
if f(x) = 0.5(2 - x), what is the value of f(-2)?
Answer:
2
Step-by-step explanation:
f(-2)=0.5(2-(-2))=
0.5(2+2)=
0.5(4)=
2
Hope this helps!
ACION
A student claims that if you dilate the net for a cube using a scale factor of 2, the surface
area of the resulting cube is multiplied by 4 and the volume is multiplied by 8. Does this
claim make sense?
(select)
make sense.
Answer:Yes
Step-by-step explanation:
Given
Suppose side length of cube is a
If we dilate the cube using a scale factor of 2
Side length becomes 2a
and the surface area becomes [tex]=6(\text{side length})^2[/tex]
Surface area[tex]=6(2a)^2[/tex]
Surface area[tex]=4\times 6(a)^2[/tex]
Thus surface area multiplied by a factor of 4
Now for volume
[tex]V=(\text{side length })^3[/tex]
[tex]V=(2a)^3[/tex]
[tex]V=8(a^3)[/tex]
Therefore volume is multiplied by a factor of 8
Therefore the above statements make sense
Colin spends
3
4
of his wages on rent and
1
8
on food. If he makes £192 per week, how much money does he have left?
Answer:
he has 1/8 left
which is 48
Step-by-step explanation:
Answer:
$24 hope it helps
Step-by-step explanation:
Peter piper picked 135 pickled peppers.
He ate 3 pickled peppers during lunch.
He made 11 small batched of hot sauce from the rest.
Enter the number of pickled peppers that are in each small batches of hot sauce.
Enter an equation that can be solved to find out how many pickled peppers, f, he used for each small batch of hot sauce.
Answer:
There are 12 pickled peppers in each small batch of hot sauce. We can use the equation f = (135-3)/11 to find this answer.