Given:
An isosceles triangle has an angle that measures 40°.
To find:
The other possible angles of the triangle.
Solution:
Case 1: 40° is the measure of base angle of isosceles triangle.
Then, the other base angle is 40°.
Let x be the measure of third angle.
The sum of all interior angles of a triangle is 180 degrees. So,
[tex]x+40^\circ+40^\circ=180^\circ[/tex]
[tex]x=180^\circ-40^\circ-40^\circ[/tex]
[tex]x=100^\circ[/tex]
So, the possible angles are 40° and 100°.
Case 2: 40° is the measure of vertical angle of isosceles triangle.
Let y be the measure of base angles, then
[tex]y+y+40^\circ=180^\circ[/tex]
[tex]2y=180^\circ -40^\circ[/tex]
[tex]y=\dfrac{140^\circ}{2}[/tex]
[tex]y=70^\circ [/tex]
So, the possible angles are 40° and 70°.
Therefore, the correct options are A, B and D.
After a shipwreck, Florence is stranded on a desert island. She needs to build a shelter, so she makes an axe using materials from the wreckage and starts cutting down trees.
There is a proportional relationship between the number of days Florence is stranded on the island, x, and the total number of trees she cuts down, y.
Answer:
6x
Step-by-step explanation:
each day she cuts 6 trees so the equation would be y=6x
how do i find the unit rate?
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
First year :
9450 + 9450 × ( 6 / 100 ) =
9450 + ( 9450 × 6 / 100 ) =
9450 + ( 56700 / 100 ) =
9450 + 567 =
Rs 10,017
_____________________________
Second year :
10,017 + 10,017 × ( 6 / 100 ) =
10,017 + ( 10,017 × 6 / 100 ) =
10,017 + ( 60,102 / 100 ) =
10,017 + 601.02 =
Rs 10,618.02
______________________________
Third year :
10,618.02 + 10,618.02 × ( 6 / 100 ) =
10,618.02 + ( 10,618.02 × 6 / 100 ) =
10,618.02 + ( 63,708.12 / 100 ) =
10,618.02 + 637.0812 =
Rs 11,255.1012
_______________________________
4th year :
11,255.1012 + 11,255.1012 × ( 6 / 100 ) =
11,255.1012 + ( 11,255.1012 × 6 / 100 ) =
11,255.1012 + ( 67,530.6072 / 100 ) =
11,255.1012 + 675.306072 =
Rs 11,930.407272
_______________________________
5th year :
11,930.407272 + 11,930.407272 × ( 6 / 100 )
=11,930.407272 +( 11,930.407272 × 6 / 100)
= 11,930.407272 + ( 71,582.443632 / 100 )
= 11,930.407272 + 715.82443632
= Rs 12,646.23170832
_______________________________
Thus Mike have to pay approximately Rs 12,646 after 5 years.
A =?
P= 9456
r = 6% = 0.06
t = 5 yrs
Formula
A= P(1+r)^t
A= 9456×1.06⁵
A = 12646.23
the total amount that he had to pay was 12646 rs
I will give brainliest pls help
Answer:
6) x = 11; y = 11[tex]\sqrt{2}[/tex]
7) x = 9; y = 9
Step-by-step explanation:
Find the fraction which is exactly halfway between 1/12 and 1/3
Answer:
2/12
Step-by-step explanation:
fraction 1 = 1/3
fraction 2 = 1/12
Half-way of both fraction = (1/3 + 1/12)/2 = 15/72 = 5/24
hey! i’ll give brainliest please help
The radii of the two spheres are 2cm and 5cm.
The ratio of their volumes and surface areas are?
Answer:
1
Step-by-step explanation:
Use distributive property to rewrite 6m(3n+1) in its equivalent form
Step-by-step explanation:
Use distributive property to rewrite 6m(3n+1) in its equivalent form
Answer:
Sate why the measure of angle d is 120 degrees
HELP WITH GEOMETRY SURFACE AREA, PAT ATTENTION TO THE DOUBLE SIDED RADIUS!!
Answer:
Half of 3 is 1.5(new radius)
1.5^2 = 2.25
2.25 x 3.14 = 7.065
7.065 x 2 = 14.13(area of two circles)
2 x 3.14 x 1.5 = 9.42
9.42(circumference) x 4(height) = 37.68(area of lateral)
Add the given areas:
37.68 + 14.13 = 51.81 cm2 is your answer.
if f(x) =2x-1 and g(x) =3x+2 find the fof(x)
=================================================
Explanation:
We won't involve the g(x) function at all.
We're composing the f(x) function with itself, which means we're replacing every x with f(x) and then simplifying.
See the attached image below for the steps.
What is the volume. Round to the nearest hundredth if necessary.
Answer: 360
Step-by-step explanation:
Answer:
120 cubic feet
Three vertices of a rectangle are shown on the grid. I NEED HELP PLEASE
Answer:
(6,7)
Step-by-step explanation:
The great thing about rectangles is that they are super simple. For the top right point, it is going to share an x-value with the bottom right vertex and and y-value with the top left. This maintains the parallel lines that define a rectangle. So just find the x coordinate of the bottom right vertex (6) and the y coordinate of the top left (7) and put them together: (6,7)
pls help im so bad at math
Angle E and D are supplementary and need to equal 170 when added together.
Angle D = 180-35 = 145
Angle D is split into two with part of it being 44
The missing angle is 145-44 = 101 degrees
The answer is 101
I really need some help!
Answer:
84 in.
Step-by-step explanation:
6*6=36/2=18
6*11=66
18+66=84
f the relationship between the independent and dependent variables is discovered to be false after another (third) variable is considered, that relationship between the independent and dependent variables is called
Answer:
Spurious relationship
Step-by-step explanation:
A spurious relationship is a relationship between a dependent and independent variable that seems to be causal (have a cause and effect relationship) but is actually not, which is made evident by a third factor or variable which was not initially apparent at the point of comparison or examination of the dependent or independent variables
Look at picture included helpp aghhh, lots of points will be given!!!
Answer:
a) 677,040 b) 17,160
Step-by-step explanation:
a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:
there are 65 objects (colors) taken 4 at a time
(see photo)
there are 677,040 possible ways to arrange the boxes.
b) unlike question a, this is a permutation. the order matters.
since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)
13*12*11*10 = 17,160 possiblities
Please help me
Find the those two numbers!
Answer:
vsbhsgshahhwgwgwgaggsgsgsgsggdhehdhhdhdhshjxjxjxjxjjxjx
A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?
Answer:
508.69
Step-by-step explanation:
...
A survey showed that 56% of car owners prefer four-door cars, 31% prefer two-door cars, and 13% have no preference. You ask 300 people. How many do you think will prefer four-door cars?
Answer:
168
Step-by-step explanation:
number that prefer four-door cars = percentage of car owners that prefer four-door cars x total number of people surveyed
56% x 300
0.56 x 300 = 168
help please its math i really need help
Answer:
m<D = 26
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(5) - 4
30 - 4
26
What should be done first to simplify 22/2 • 3/9 • 4
Answer:
44/3
Step-by-step explanation:
Reduce 22/2 to 11, 3/9 to 1/3:
11(1/3)(4)
Working from left to right:
11(4)
------ = 44/3
3
Answer:
Step-by-step explanation:
simplify 22/2 then multiply it by 3/9
then multiply that answer by 4 and your total will be 14.6
0)
What is the volume of this cube?
1 cubic foot
)) 4 cubic feet
1 ft
3 cubic feet
1 ft
1 ft
6 cubic feet
Answer:
6
Step-by-step explanation:
pls help me , i need this
Aline read a report saying 39% of teachers in the United State were members of a labor union. She wants to test whether this holds true for teachers in her state, so she is going to take a random sample of teachers and see what percent of them are members of a union. Let p represent the proportion of teachers in her state that are members of a union. Write an appropriate set of hypotheses for her significance test.
Answer:
H0: p= 0.39 vs Ha: p ≠ 0.39
Step-by-step explanation:
She wants to test whether this holds true for teachers in her state.
The test is the formulated into the hypotheses.
The null hypothesis would be
H0: p= 0.39 against the claim Ha: p ≠ 0.39
The null hypothesis tells that the the proportion of teachers in her state that are members of a union is equal to the proportion of teachers in the US that are members of the labor union.
against the claim
That the the proportion of teachers in her state that are members of a union is not equal to the proportion of teachers in the US that are members of the labor union.
solve the equation for all real solutions
4q^2-4q+1=0
Answer:
q= 1/2 or 0.5 depending
Step-by-step explanation:
Help me please it’s not a or b btw
Answer:
from what I'm seeing the answer is C
There are 7 buses, and each of these buses is taking 37 people to a game. Another bus is taking 8 people. How many people are these buses taking to the game?
Answer:
267
Step-by-step explanation:
First, take 37 and multiply it by 7, which gives you 259. Next, add 8 to get your answer, 267.
Find the length of the arc.
Answer:
1st option
Step-by-step explanation:
The length of the arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{210}{360}[/tex]
= 2π × 13 × [tex]\frac{21}{36}[/tex]
= 26π × [tex]\frac{7}{12}[/tex]
= [tex]\frac{26\pi (7)}{12}[/tex]
= [tex]\frac{182\pi }{12}[/tex]
= [tex]\frac{91\pi }{6}[/tex]
A sphere has the radius of 5 meters. Find the volume . Use 3.14 for pi
The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5 meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question
Answer = 523.6meters^3
The volume of the given sphere with radius 5 meters is given by 523.33 m³.
What is Volume?Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.
As per the given data:
Radius of the sphere = 5 meters
Value of π as given in the question = 3.14
{always use the same value of π as given in the question}
For finding the volume of a sphere with a given radius:
[tex]V = \frac43 \pi r^3[/tex] {where r is the radius}
[tex]V = \frac43 \times 3.14 \times 5^3[/tex]
V = 523.33 m³
Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.
Learn more about Volume here:
brainly.com/question/13338592
#SPJ3
Evan wants to make a kneeling pad cushion for when he gardens for long periods of time. It will have the dimensions shown. How much fabric should he buy to cover the cushion?
Question
Even wants to make a kneeling pad cushion for when he gardens for long periods of time. How much fabric should he buy to cover the cushion?
Answer:
Surface area, 440 in 3
Step-by-step explanation:
I just did this question on my assignment on Edge 2021
Step-by-step explanation:
surface area, 440 in.2