1.
AB:
a² + b² = c²
'a' and 'b' are legs, while 'c' is the hypotenuse
3.6² + 5.2² = 12.96 + 27.04
c² = 40
c = √40
c ≈ 6.3
m∠A:
sine, cosine, tangent
soh - [tex]\frac{opposite}{hypotenuse}[/tex]
cah - [tex]\frac{adjacent}{hypotenuse}[/tex]
toa - [tex]\frac{opposite}{adjacent}[/tex]
∠a:
5.2 = opposite
6.3 = hypotenuse
[tex]\frac{5.2}{6.3}[/tex] = 0.825396...
x = sin^-1(0.825396)
x = 55.6 ≈ 56º
∠b:
90º + 56º = 146
180 - 146 = 34º
repeat for the rest of the problems
Determine if the triangles, APQT and AQRS, are similar. If so, identify the similarity criterion
A)
AA similarity
Gaping
Calc
B)
SAS similarity
09
SSS similarity
Formulas
D)
not similar
Answer:
see explanation
Step-by-step explanation:
Consider the ratios of corresponding sides
[tex]\frac{PQ}{QR}[/tex] = [tex]\frac{30}{15}[/tex] = 2
[tex]\frac{PT}{QS}[/tex] = [tex]\frac{20}{10}[/tex] = 2
[tex]\frac{QT}{RS}[/tex] = [tex]\frac{28}{14}[/tex] = 2
Since the ratios of corresponding sides are equal, then
Δ PQT and Δ QRS are similar by the SSS postulate
100 points if you want it. Puppy b weighs 8 pounds, which is about 75% of its adult weight. what will be the adult weight of puppy B.
Answer:
10.(6) pouds
Step-by-step explanation:
8 pouds .......... 75%
x pouds ...........100%
x = 8×100/75 = 800/75 = 10.(6) pouds
Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.
Answer:
A score of -16 represents the lowest of points for these four turns.
The number for Aisha's highest score will be turn 2 on the number line.
That number is 10.
Step-by-step explanation:
Since the options of the drop down menu are not included, you should choose any option similar to lowest.
Aisha's highest score was obtained in turn 2 and that is 10.
Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.
What is the value of x?
Enter your answer in the box. Round only your final answer to the nearest hundredth
Answer:
x = 12.5 yd
Step-by-step explanation:
To find the value of x, use the equation below
cos 37 = [tex]\frac{10}{x}[/tex]
0.80 = [tex]\frac{10}{x}[/tex] Take 10 divided by 0.80 to find x
x = 12.5
If this answer is correct, please make me Brainliest!
I really need help with this
Answer:
Step-by-step explanation:
In the first case the function could become undefined as x approaches -3 or 3 from either direction. The vertical asymptotes are x = -3 and x = +3.
In the second case, there's only one vertical asymptote, because the denominator can be zero (0) only at x = 0.
What is the experimental probability of rolling a number less than 3?
Answer:
The probability of rolling a number less than 3 (so, 1 or 2) is 2 out of 6, or 1/3. The odds are 4 to 2 against, or 2 to 1 against.
Step-by-step explanation:
If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333
please help me out! i have a few more of these questions, about 3
Step-by-step explanation:
The y-intercept will be (0, 1). From that point, go 4 units to the right and 1 unit down. That is your next point. Keep doing that and then connect the points to make a line. Hope this helps!
find the value of x. (3x-4) (7x+4)
Answer:
[tex]3x - 4 + 7x + 4 = 180 \\ 3x + 7x = 180 \\ 10x = 180 \\ \frac{10x}{10} = \frac{180}{10} \\ x = 18 \: \: degrees[/tex]
Answer:
x=18
Step-by-step explanation:
The 2 angles are on a straight line, and are therefore supplementary. This means that they add to 180 degrees.
So,
3x-4+7x+4=180
First, combine like terms
(3x+7x)+(-4+4)=180
10x+0=180
10x=180
Now, we need to solve for x. To do this, we must get x by itself. Since x and 10 are being multiplied, divide both sides by 10. We divide because division is the opposite of multiplication.
10x/10=180/10
The 10s on the left cancel, so we are left with:
x=180/10
x=18
what is the answer for the picture.
Answer:
4
Step-by-step explanation:
40-36=4
Answer:
She won by 4 seconds.
Step-by-step explanation:
If Bailey ran the race in approximately 36 seconds and Elena ran it in approximately 40 seconds, Bailey would've completed the race 4 seconds faster than Elena.
6 cm
4 cm
3 cm
12 cm
What’s the purple? Areas
Answer:
36 cm
Step-by-step explanation:
A = b1 + b2 x h / 1/2
A = 12 + 6 x 4 / 1/2
4) (3√2+4)(√2−1)=_____+√2
Response: __________
Answer:
[tex]2+\sqrt{2}[/tex]
Step-by-step explanation:
[tex](3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4[/tex]
[tex]= 6-4+\sqrt{2}[/tex]
[tex]= 2+\sqrt{2}[/tex]
Answer:
Step-by-step explanation:
Use FOIL method
(3√2 + 4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1
=3*√(2*2) - 3√2 + 4√2 - 4
= 3*2 - 3√2 + 4√2 - 4
= 6 - 3√2 + 4√2 - 4 {add the like terms}
= 6 - 4 - 3√2 + 4√2
= 2 + √2
Will give brainliest answer
Answer:
d = 13 cm
r = 6.5 cm
Step-by-step explanation:
The diameter is the distance from side to side going through the center
d = 13
The radius is 1/2 of the diameter
r = d/2 = 13/2 = 6.5 cm
What is the sample space for a 5 sided number cube?
Answer:
{1, 2, 3, 4, 5}
Step-by-step explanation:
Sample space is the set of all possible outcomes. Supposing that the 5 sided number cube has numbers one to five on its sides, the possible outcomes are the numbers that can be rolled, then its sample space is: {1, 2, 3, 4, 5}
9x-y=-3
18x-7y=-21
A 0,3
B no solution
C 0,1
D -1,0
answer with work pls!!
A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate
Answer:
D
Step-by-step explanation:
D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.
hematics for College Readiness - Sem 2 - 1200700
"ET
Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
Left-most x-intercept:
0)
Right-most x-intercept:
0)
Step-by-step explanation:
the x-intercept of this function is (-1,0)
Can somebody please help me :(
Steps:
Boys: 30+40+50+60+60+70+70+70+80+80+80+90+90+100 = 970
Girls: 10+20+50+50+60+70+70+80+80+80+90+100 = 760
THEN Divide the sum of boys and girls but how many numbers you added
970 ÷ 14 = 69.2
910 ÷ 12 = 63.3
What is the solution to the equation?
2/3a - 1/6 = 1/3
Answer:
a in this equation would be 3/4 because...
Step-by-step explanation:
2/3a−1/6=1/3
2/3a+−1/6=1/3
2/3a+−1/6+1/6=1/3+1/6
2/3a=1/2
Multiply both sides by 3/2.
(3/2)*(2/3a)=(3/2)*(1/2)
a=3/4
Hope this helps!
Please help question is in image
Answer:
The equation log x = 100 is another way of writing 10x = 100.
Step-by-step explanation:
This makes it possible to take away logarithms from an equation. If the equation contains more than one logarithm, they must have the same base for this to work.
PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
What is the range of the data?
How to solve
3x+y=9
5x+4y=22
Answer:
(2, 3) x=2, y=3
Step-by-step explanation:
There are two ways to solve this: substitution & elimination:
Using substitution for this equation:
[tex]\left \{ {{3x+y=9} \atop {5x+4y=22}} \right.[/tex]
3x + y =9
y = 9-3x
Substitute for y:
5x + 4(9 - 3x) = 22
5x + 36 - 12x = 22
-7x = -14
x = 2
Solve for y:
3(2) + y = 9
6 + y = 9
y = 3
What is the surface area of a cone with a radius of 3 meters and a slant of 4
Answer:
A≈65.97m²
Step-by-step explanation:
A=πrl+πr2=π·3·4+π·32≈65.97345m
The surface areas of two similar figures are 81 m2 and 121 m2. The volume of the
smaller figure is 2187 m². What is the volume of the larger figure?
Answer:
20201
Step-by-step explanation:
Find the answer for this brain teaser, please!!!!
Answer:
6
Step-by-step explanation:
There are five inside the box and when you include the large rectangle that is the box, it's 6
Please help!
Identify whether the graph displays a linear or nonlinear function. Explain why.
Graph B
On a coordinate plane, Graph B curves up into quadrant 1.
Graph B displays a
Answer:
its d i just did it
Step-by-step explanation:
\
The graph is a linear and straight line so option (B) will be correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
Given graph is ;
y = 2x - 3
The slope of any function is given by;
dy/dx
So,
d(2x - 3)/dx = -2
Since the slope is constant that it will be a straight line and the straight line curve is a linear function because it has a degree of 1.
Hence "The graph is a linear and straight line".
For more about the linear function,
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Given question is incorrect correct question is attached in form of the image below;
Find the median of the following data set: 95, 92, 96, 93, 94, 95, 93 *
Answer:
93
the median is the middle of the data set
Step-by-step explanation:
Answer:
94.
Step-by-step explanation:
First, line the numbers up in order from least to greatest.
92, 93, 93, 94, 95, 95, 96.
Next, find the middlemost number.
How many twelfths equal two fourths
Answer: 6
Step-by-step explanation: Let n represent the number of twelfths in 5/4. Expressed symbolically, this is n/12 = 2/4. The LCD is 12. Multiply numerator and denominator of 2/4 by 3, obtaining: n/12 = 6/12 then n = 6. There are 6 twelves in 2/4.
There are 6 twelfths equal two fourths.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
We have to find twelfths equal two fourths
Let x represent the number of twelfths in 5/4.
So, the mathematical expression is
x/12 = 2/4.
Now, simplifying the fraction
x/ 12= 1/2
Now, multiply both side by 12
12 x/12 = 12/2
x= 6
Hence, there are 6 twelfths .
Learn more about Algebra here:
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A polygon is shown:
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) (5 points)
Answer: 4
We're talking about the right part.
OP = RQ - NM = 7 - 3 = 4
PQ = MR - NO = 3 - 2 = 1
Area(OPQ?) = 4×1 = 4
Answer: 4
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is 4 square units.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A polygon is given in the question, as shown
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units.
We have to determine the fill-in-the-blank.
As per the given figure, we can see that
OP = RQ - NM = 7 - 3 = 4
PQ = MR - NO = 3 - 2 = 1
Required area of rectangle = 4 × 1 = 4
Hence, the required fill-in blank will be "4".
Learn more about the Area of the rectangle here:
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