Step-by-step explanation:
it's an Equilateral triangle
the base angels are equal
A=100°
B=40°
C=40°
The required vertex angle will be 100° in the given figure.
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
The triangle given in the figure is an Isosceles triangle.
It is given that side AB is equal to side AC.
So ∠B = ∠C = 40°
Now we know that the sum of angles of a triangle is equal to 180°. So here in this triangle ABC. These are the sum of these three angles will be equal to 180.
As per the given figure,
∠A + ∠B +∠C = 180°
∵ ∠B = ∠C = 40°
∠A + 40° +40° = 180°
∠A + 80° = 180°
∠A = 180° - 80°
∠A = 100°
Therefore, the required vertex angle will be 100° in the given figure.
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express 20cm as a percentage of 3m
Answer: [tex]\frac{20}{3} %[/tex]%
Step-by-step explanation:
Convert 3m to cm:
[tex](3m)(\frac{100cm}{1m} )=300cm[/tex]
Now divide 20cm by 300cm:
20cm/300cm=1/15
Multiply (1/15) by 100% to convert the fraction to a decimal:
(1/15)(100%)=[tex]\frac{20}{3} %[/tex]%
In Jamie's closet the ratio of pairs of boots to pairs of sneakers is 3:6. If she has 6 more pairs of sneakers
than boots, how many pairs of boots does she have?
In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Find the length of s, to the nearest centimeter.
Answer:
3315
Step-by-step explanation:
delta math
In ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°. Then the length of s is 3425.8 cm
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
ΔSTU, u = 900 cm, ∠T=49° and ∠U=14°.
We need to find length of S
From angle sum property the sum of three angles is 180 degrees.
∠S+∠T+∠U=180 degrees
∠S+49°+14°=180°
∠S+63°=180°
∠S=117°
Now use Sine rule
SinU/U=SinS/S
Sin14/900=sin117/S
S=900×Sin 117/sin 14
S=3425.8 cm
Hence, the length of s is 3425.8 cm
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What is the value of y when x = 0? first person to answer I will mark brainiest
Answer:
The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept. The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).
Step-by-step explanation:
Hope this helped! Have a nice day!
How many ways can the letters of the word snow be arranged horizontally so that the letters n and o are always immediately next to each other
Answer:
6 times
Step-by-step explanation:
nosw
swno
wsno
nows
snow
wnos
SOMEONE PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!
Answer:
5.8
Step-by-step explanation:
c=(square root of 5^2 + 3^2)
write an equivalent expression 3c + 7 + 12d - 6d + 4c + 5 = ?c + ?d + ?
Answer:7c +6d +12
Step-by-step explanation:3c + 7 + 12d - 6d + 4c + 5 = ?c + ?d + ?
3c + 4c +12d - 6d +7 +5
= 7c +6d +12
You combine like terms which are 3c and 4c which gives you 7c .Next you combine 12d and 6d but this time u need to subtract since it has subtact sign in between 12d and 6d which gives you 6d.After that you combine 7 and 5 which u get 12 .Lastly you put all of the tersm together which are 7c and 6d and 12 which get you 7c +6d +12 as your equivalent expression.
Please give brainliest if it helps :)
The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1300 voters in the town and found that 45% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim?
Answer:
We reject H₀ , we found enough evidence to support the claim
Step-by-step explanation:
Sample size n = 1300
Sample proportion p = 45 % p = 0,45 and q = 0,55
Proportion of population p₀ = 42 % p₀ = 0,42
Hypothesis Test
Null Hypothesis H₀ p = 0,42
Alternative Hypothesis Hₐ P > 0,42
A one-tail test to the right is needed to evaluate the claim
Sample size big enough to consider binomial distribution can approximate to normal distribution
1300*p > 10 1300*q > 10
Significance level α = 0,02
z(c) fom z-table is z(c) = 2,05
To compute
z(s) = ( p - p₀ ) /√ (p*q)/n
z(s) = ( 0,45 - 0,42 ) /√ (0,45*0,55)1300
z(s) = 0,03 / 0,014
z(s) = 2,14
Comparing z(c) and z(s) z(s) > z(c) then z(s) s in the rejection region we must reject H₀ we found enough evidence to spport the claim
f(a) = 2a
gla) = 4a - 3
Find f(g(-1))
Answer:
first deal with g(-1)
y=4a - 3
a=4y -3 and now make y the subject again
a+3/4...now put it into f(a)
2(a +3/4) simplyifying
a+3/2 as yo final ans
plz help!!!
Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer:
[tex]k = 8.35[/tex]
Step-by-step explanation:
Given
[tex]Gallons = 4[/tex]
[tex]Weight = 33.4lb[/tex]
Required
Determine the constant of variation (k)
This is calculated by dividing the weight of gallons by the number of gallon.
[tex]k = \frac{Weight}{Gallons}[/tex]
Substitute values for Gallons and Weight
[tex]k = \frac{33.4}{4}[/tex]
[tex]k = 8.35[/tex]
This means that 1 gallon weighs 8.35lb
Help, please. I'm in math class right now and I only have a few mins left of the course.
Answer:
60
Step-by-step explanation:
180-(100+20)=x
x=60
Simplify the equation
B^-7/b^4
Step-by-step explanation:
[tex] = \frac{ {b}^{7} }{ {b}^{4} } [/tex]
[tex] = {b}^{(7 - 4)} [/tex]
[tex] = {b}^{3} [/tex]
HELP
Write an equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
(-8, 6)
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is:
y = -4 + 38
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
We have given that,
An equation of a line passing through (-8, 6) and parallel to the line y=-4x - 1
(-8, 6)
What is the slope-intercept form?
y=mx+b
Where m is the slope
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is y = -4 + 38.
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in a college biology class, only half of the class earned a passing grade. Out of all the students, 25% studied and passes. What is the probability of someone having studied, give that they passed?
Answer:
17.5%
Step-by-step explanation:
take 25% x 1/2..............
[tex]x \: \: is \: half \: of \: y[/tex]
Answer:
x is half of y[tex] \huge \boxed{x = \frac{y}{2} }[/tex]
Answer:
2x=y
Step-by-step explanation:
Since x is half of y, 2x=y
Hope this helps :D
the rate for the following: 6-pound bag of apples for \$4.00 .
Given that,
Cost of 6 pounds apples = $4.00
To find,
Unit rate.
Solution,
We have,
6 pounds apples = $4.00
We can find the cost of 1 pound of apples as follows :
1 pound apples =$ (4/6)
= $0.67
So, the cost of 1 pound apples is $0.67.
330% of what number is 92.4?
Answer:
92.4/3.3 = 28
Therefore, the number that 92.4 is 330 percent of, is 28.
Step-by-step explanation:
Please help!! It’s due soon
Solve the problem
Find the break-even cost and revenue equations. Round to the nearest whole unit.
C = 15n + 269,000
R = 95n
a. 80
b. 2445
c. 3363
d. 110
Answer:
C. 3363
Step-by-step explanation:
I calculated logically
Answer:
C
Step-by-step explanation:
Tina is tossing bean bags at a target. She hit the target on 3 out of her last 15 tries. Considering this data, how many hits would you expect Tina to get during her next 10 tosses?
Answer:
2
Step-by-step explanation:
Because 1 in 5 throws she get 1 in
Answer: We are given 3 out of 15, the best is to convert into a percent, [tex]\frac{3}{15}[/tex] is our fraction, now divide the numerator by the denominator 3÷15=.0.20. Now bump it up two digits, 20%. Now 20% of 15 is 3, we need to find 20% of 10, if 20% is 20 from 100, then 2 must be 20% of 10.
And your answer is 2 out of 10 tosses.
Hope I helped! If you like my answer, please consider marking me as brainliest! Thanks :D
Find the Measure of angle O
(see image)
Only real answers, please
Answer:
From the given figure we can see that :---
MN||PO, MN=PO and MP=NO
Therefore, angle M=angle N (adjacent sides of the trapezoid)
[tex](8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}[/tex]
angle M=angle N= (6×18)+20=108+20 =128°
angle O =(180°-128°)=52°
Hence, angle O is 52°.A2 + B2 = C2:
13 squared plus b2 equals 18 squared. What is the answer? Please show the work.
Answer:
Solving [tex](13)^2+(b)^2=(18)^2[/tex] we get [tex]\mathbf{b=\sqrt{155},b=-\sqrt{155}}[/tex]
Step-by-step explanation:
13 squared plus b2 equals 18 squared. What is the answer?
We can write it as:
[tex](13)^2+(b)^2=(18)^2[/tex]
Now, solving and find value of b
We know that 13² = 169
and 18² = 324
Putting values:
[tex](13)^2+(b)^2=(18)^2\\169+b^2=324[/tex]
Subtract 169 on both sides
[tex]169+b^2-169=324-169\\b^2=155[/tex]
Now, taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{155}\\b=\pm\sqrt{155}\\b=\sqrt{155},b=-\sqrt{155}[/tex]
So, solving [tex](13)^2+(b)^2=(18)^2[/tex] we get [tex]\mathbf{b=\sqrt{155},b=-\sqrt{155}}[/tex]
Suppose that many large samples are taken from a population and that the
sample proportions are normally distributed, with a mean of 0.22 and a
standard deviation of 0.029.99.7% of the sample proportions will fall within
which of the following intervals?
Answer:
99.7% of the sample proportions will fall between 0.133 and 0.307.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 0.22
Standard deviation = 0.029
99.7% of the sample proportions will fall within which of the following intervals?
Within 3 standard deviations of the mean.
Lower end: 0.22 - 3*0.029 = 0.133
Upper end: 0.22 + 3*0.029 = 0.307
99.7% of the sample proportions will fall between 0.133 and 0.307.
Tell if it’s linear or not, plz help it has a timer :(
Answer:
Only B is linear
Step-by-step explanation:
- Write the fact family for 2, 3, and 6.
Answer:
2 times 3=6
Step-by-step explanation:
PLS HELP ASAP GIVING BRAINLIEST
Plot 1 2/5, −12, and −2 1/10 on the number line.
Answer:
Here is the answer.
Step-by-step explanation:
The brown could plant 1/2,tomatoes 1/4,1/4 lettuce
Answer: huh?? Need more info.
Step-by-step explanation:
Work out the area of a circle with a radius 7.5cm take pie to be 3.142. Give your answer 2 decimal places
Answer:
176.74 cm^2
Step-by-step explanation:
Area of a circle is πr^2
r= 7.5
π= 3.142
Area=3.142× 7.5^2
= 3.142 × 56.25
= 176.74 cm^2
Hence the area if the circle is 176.74cm^2
Chuck made $13.90 per hour, gets a 12% raise, and works 40 hours per week. Will he now earn at least $600 per week?
A: No, he will earn $556 each week.
B: No, he will only earn $66.72.
C: No, he will earn $489.28 each week.
D: Yes, he will earn $622.72 each week.
I might be wrong but I'm gonna go with
D is my answer
16. Solve for C: 6c - 1 - 4c = -49
Answer:
c = -24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Step-by-step explanation:
Step 1: Define
6c - 1 - 4c = -49
Step 2: Solve for c
Combine like terms: 2c - 1 = -49Isolate c term: 2c = -48Isolate c: c = -24