Answer:
Angle A = 90 degrees, side a = 2.Angle B = 30 degrees, side b = 1.Angle C = 60 degrees, side c = [tex]\sqrt{3}[/tex].Side c:
If angle A is 90 degrees, side a is the hypotenuse.[tex]c^{2} + b^{2} = a^{2}[/tex] <--- this is NOT the correct way to write the Pythagorean theorem. I changed it to fit the side lengths. Normally, it is [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the hypotenuse. Since a is the hypotenuse, I switched the variables.[tex]c^{2} + (1)^{2} = (2)^{2}[/tex] [tex]c^{2} + 1 = 4[/tex] [tex]c^{2} = 3[/tex][tex]c = \sqrt{3}[/tex]Finding the angles:
In a 30-60-90 right triangle, the...Shortest leg = xLongest leg = [tex]x\sqrt{3}[/tex] Hypotenuse = 2x In this case, the shortest leg is 1, the longer leg is [tex]\sqrt{3}[/tex] (or [tex]1*\sqrt{3}[/tex]), and the hypotenuse is 2 (or [tex]2*1[/tex]).As a result, this is a 30-60-90 triangle -- angle B is 30 degrees while angle C is 60 degrees.Match the numbers with the correct label.
how are we suposed to do this
What’s the product of 7 and 8
Answer:
The result of multiplying 7 with 8 is called the product. Thus, the product of 7 and 8 is as follows:
56
In other words, we find the product of 7 and 8 by simply calculating 7 times 8 which equals 56. Pretty easy huh?
If someone asks you, "What is the product of 7 and 8?", your answer will be:
7 x 8 = 56
To find any product in the future on your own, just remember that the product is the answer you get when you multiply numbers together.
Answer:
56
Step-by-step explanation:
Product means to multiply
7 * 8 = 56
Check...
56 / 7 = 8
56 / 8 = 7
Yes
Hope this helped!
Have a supercalifragilisticexpialdocious day!
The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.
A.
n + n + 1 = 59; n = 29; n + 1 = 28
B.
n + n + 1 = 59; n = 29; n + 1 = 30
C.
n + n + 1 = 59; n = 30; n + 1 = 31
D.
n + 2n = 59; n = 19; 2n = 38
Answer:
B
Step-by-step explanation:
n+(n+1)=59
2n=59-1=58
n=58/2=29
n+1=29+1=30
*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*
1️⃣ 40
2️⃣ 10
3️⃣ 30
4️⃣ 50
Answer: 1️⃣ 40
Step-by-step explanation:
x - is the side of the square
[tex]x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square[/tex]
Find the perimeter of the square.
Perimeter of the square = 4 × 10 cm = 40 cm
18 x 5 Use mental math to solve. Find as many strategies as you can to solve. Record and describe each strategy.
Answer:
Here are a few ways that I do that:
18 * 5 is the same as (10 + 8) * 5, which equals 50 + 40, which is 90
It's also the same as (20 - 2) * 5, which equals 100 - 10, again, 90
It's also 9 * 2 * 5, which equals 9 * 10, or 90
It's also 3 * 6 * 5, or 3 * 30, which is 90.
A cell phone company offers two plans.
Plan A has a monthly fee of $26.50 and charges $0.35/minute.
Plan B has a monthly fee of $42.50 and charges $0.15/minute.
How many minutes make Plan A and Plan B equal to each other?
Answer:
80 minutes
Step-by-step explanation:
Represent Plan A as y = $26.50 + ($0.35/min)x, where x is the number of minutes consumed.
Represent Plan A as y = $42.50 + ($0.15/min)x
We set these two equations equal to one another and solve for x, the number of minutes at which the costs of the two plans are momentarily equal:
y = $26.50 + ($0.35/min)x = y = $42.50 + ($0.15/min)x
Combining like terms, we get: ($0.20/min)x = $16.00
$16.00
Then x = -------------------- = 80 minutes
($0.20/min)
Help me find the measure of each numbered angle please!
Answer:
Hope this helps
Step-by-step explanation:
On a trip. Joel drove 24 miles more than Rita drove. Together they drove 340 miles.
How many miles did Joel drive?
O A 158
0
B. 182
194
D. 316
Answer:
194
Step-by-step explanation:
you would do 340 divided by 2 and that gets you 170 then you would subtract 24 from Rita and that is 146 so Rita drove 146 miles. then for Joel you add 170 +24 = 194. So Joel drove 194 miles.
hope this helps
If 8-1= 7, does 8-1-2=7 - 3? Why or
why not?
Helpp ASAP
Choose the equation of the line through (4, -5) and perpendicular to 6x + 12y = 13.
A.y=-1/2x-3
B. y=1/2x-7
C. y=2x-13
D. None of these
Answer:
C.) y=2x-13
Step-by-step explanation:
Please help me for brainliest!! There is a picture! Answer choices : 2, 4, 6, 8
Answer:
2
Step-by-step explanation:
Remark
You are going to set up a proportion. The sides used are opposite the chosen angles.
Givens
x is opposite an angle marked by 2 arcs.
5 is opposite an angle marked with 1 arc.
8 is opposite an angle marked with 2 arcs
20 is opposite an angle marked with 1 arc.
Equation
x/5 = 8/20 Cross Multiply
20x = 5*8
20x = 40
x = 40/20
x = 2
Select ALL the correct answers.
Which equations have a greater unit rate than the rate represented in the table?
Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x
Answer:
y = 5/7 x
y = 7/9 x
y = 3/4 x
Step-by-step explanation:
Firstly, let us get the unit rate on the table
That would be;
y/x = 2/3
y = (2/3)x
so the fractions greater than 2/3 will
be our answer
3/4 is greater
7/9 is greater
5/7 is greater
Help please.
Algebra.
PLS help me
if you get it right i will give brainliest
Answer:
7.21
Step-by-step explanation:
Solution,
Given,
base = 4
perpendicular = 6
hypotenuse = ?
Now,
By the formula of Pythagoras Theorem,
h^2 = p^2 + b^2
h^2 = 6^2+4^2
h^2 = 36+16
h = sqrt ( 52 )
h = 7.21
Therefore, the value of x (hypotenuse) is 7.21 .
Answer:
x= 7.21///no
Step-by-step explanation:
4^2 + 6^2 = 52
take the square root which equals 7.21
///
Pythagorean triples consist of perfect squares, like 2^2 is for the side that is equal to 4, 6 is not a perfect square.
In 1989, a baseball card was purchased for $6. Today, the value of the baseball card has increased by 425%. What is the current value of the baseball card?
Answer: $31.50
Step-by-step explanation:
We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.
The current value of the baseball card would be:
= $6 + (425% × $6)
= $6 + (425/100 × $6)
= $6 + (4.25 × $6)
= $6 + $25.5
= $31.50
Find the length of the third side to the nearest tenth. 3 3
Answer:
4.2
Step-by-step explanation:
Hypotenuse ² = opposite ² + adjacent ²
Opposite = 3
Adjacent = 3
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse ² = 3² + 3²
Hypotenuse ² = 9 + 9
Hypotenuse ² = 18
Find the square root of both sides
√Hypotenuse² = √18
Hypotenuse = √18
Hypotenuse = 4.2426406871192
Hypotenuse = 4.2 to the nearest tenth
Please help me, Thank you :)
Answer:
I am pretty sure its the first one
I would say the bottom right graph (D) best fits the data because it passes through the most points possible on the graph.
What are the zeroes of P(x) = x3 – 6x2 - x +62
Answer:
x = 6
x = -1
x = 1
Step-by-step explanation:
Given:
Correct equation;
P(x) = x³ - 6x² - x + 6
Computation:
x³ - 6x² - x + 6
x²(x-6)-1(x-6)
(x-6)(x²-1)
we know that;
a²-b² = (a+b)(a-b)
So,
(x-6)(x²-1)
(x-6)(x+1)(x-1)
So,
zeroes are;
x = 6
x = -1
x = 1
PLS HELP ASAP
Use a graph to solve the following
243=3^x+^3
Answer:
They all have equal bases.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x=5
hope this helps !!:)
Step-by-step explanation:
2
1
Put a ring around all the numbers that are exactly divisible by 9
3
56
• 72 93 146
198
Answer:
56, 72, and 198.
Step-by-step explanation:
Hope this helped! :)
ASAP PLEASE HELP ILL MARK BRAINIEST IF ANSWERED IN LESS THAN 1HR
Answer:
D
Step-by-step explanation:
x=4
what’s the value of x??
Answer it 22
Step-by-step explanation:
Please answer as soon as possible.
Determine whether the quantities in each table represent a proportional relationship. If yes put the constant rate otherwise put no
Answer:
There is not a proportional relationship
Step-by-step explanation:
The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.
Answer:
Yes, the proportional relationship is 9.50
Step-by-step explanation:
In the graph that you have attached this picture with, hours x 9.50 = pay.
Hope this helps :D
Please Help.
Algebra.
What is the sum of the digits of the first 99 counting numbers?
Find the value of x
BRAINLEST I SWEAR TO GOD
What is the root ?!
9514 1404 393
Answer:
x = √70
Step-by-step explanation:
The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...
x/(7+3) = 7/x
x^2 = 7(10) = 70
x = √70
_____
Additional comments
This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.
The same relation holds for BC:
BC = √(CD·CA)
__
A slightly different geometric mean relation holds for the altitude BD:
BD = √(DC·DA)
If 4y = 7x, write the ratio of x to y.
Answer:
7:4 would be the ratio I think
Pls help it due soon.
Pls show workings
Pleaseeeeeeeeee
Answer:
[tex]\mathrm{D.\:}14<x<32[/tex]
Step-by-step explanation:
In any triangle, the sum of any two sides must be greater than the other side. Therefore, in the given triangle with side lengths [tex]9[/tex] and [tex]12[/tex], we can write the following inequalities:
[tex]\begin{cases}(x-2)+9>21,\\21+9>(x-2)\\\end{cases}[/tex]
Solving these inequalities, we get:
[tex]x-2>12,\\x>14\\\\30>x-2,\\x<32[/tex].
Combining this into one inequality gives us:
[tex]\mathrm{D.\:}14<x<32[/tex].
Solve the following quadratic equation for all values of x in simplest form.
Answer:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
Step-by-step explanation:
Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].
[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].
Factor out the 5, then isolate [tex]x^2[/tex]:
[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].
Therefore, the solutions to this quadratic are:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
The graph of h(x)= |x-10| +6 is shown. On which interval is this graph increasing?
Answer:
Step-by-step explanation:
we have we know that see the graph
Let
Find the slope B The slope is positive
so
The graph is increasing in the interval----------> (10, ∞)
Find the slope AB
The slope is negative
so
The graph is decreasing in the interval----------> (-∞,10)
therefore