Answers
Answer:
AH = [tex]\sqrt{51}[/tex]
Step-by-step explanation:
The opposite sides of a rectangle are congruent , so
GH = RA = 7
Using Pythagoras' identity in right Δ GHA
AH² + GH² = GA²
AH² + 7² = 10²
AH² + 49 = 100 ( subtract 49 from both sides )
AH² = 51 ( take the square root of both sides )
AH = [tex]\sqrt{51}[/tex] ≈ 7.14 ( to 2 dec. places )
Answer:
√51 (or in LaTeX $sqrt51$)
Step-by-step explanation:
We know that Triangle GRA is a right triangle because Angle GRA is one of the angles of rectangle GRAH, and all interior angles of a rectangle are right.
We also know the lengths of two sides of GRA, so we can use the Pythagorean Theorem to solve for the third side. Specifically, the Pythagorean Theorem tells us that
(GR)^2 + (RA)^2 = (GA)^2.Plugging in RA=7 and GA=10, we get
(GR)^2 + 49 = 100,so (GR)^2=51. We know that GR is positive, so we conclude that $GR=\sqrt{51}$. Finally, since GRAH is a rectangle, its opposite sides have equal length. Thus AH = GR, and so AH = √51, which cannot be simplified.
Related Questions
Round to the nearest 5764.357894
Answers
Answer:
Step-by-step explanation:
5764.36 I think
solve by factoring: y=2x^2-2x-1
Answers
Answer:
Move all the expressions to the left side of the equation.
y−2x²+2x+1=0
Move all terms not containing y to the right side of the equation.
y=2x²−2x−1
Step-by-step explanation:
Victoria needs sugar for a certain recipe.
The original recipe calls for cup sugar.
Victoria wants to make a recipe that is 31
times larger. Use the Distributive Property
to find the product.
Answers
Answer: 31 cups of sugar
Step-by-step explanation:
1 cup x 31 = 31 cups
Answer:
31
Step-by-step explanation:
1 x 31 = 31
What is the volume of the rectangular prism?
Answers
Answer:
7 yd^3
hope this helps
have a good day :)
Step-by-step explanation:
solve
[tex]\sf \dfrac{1}{p} + \dfrac{1}{q} + \dfrac{1}{x} = \dfrac{1}{p + q + x}[/tex]
Answers
Answer:
[tex] \displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}[/tex]
Step-by-step explanation:
we would like to solve the following equation for x:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x} [/tex]
to do so isolate [tex]\frac{1}{x}[/tex] to right hand side and change its sign which yields:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x} [/tex]
simplify Substraction:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)} [/tex]
get rid of only x:
[tex] \displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)} [/tex]
simplify addition of the left hand side:
[tex] \displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)} [/tex]
divide both sides by q+p Which yields:
[tex] \displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)} [/tex]
cross multiplication:
[tex] \displaystyle x(p + q + x) = - pq[/tex]
distribute:
[tex] \displaystyle xp + xq + {x}^{2} = - pq[/tex]
isolate -pq to the left hand side and change its sign:
[tex] \displaystyle xp + xq + {x}^{2} + pq = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle {x}^{2} + xp + xq + pq = 0[/tex]
now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so
factor out x:
[tex] \displaystyle x( {x}^{} + p ) + xq + pq = 0[/tex]
factor out q:
[tex] \displaystyle x( {x}^{} + p ) +q (x + p)= 0[/tex]
group:
[tex] \displaystyle ( {x}^{} + p ) (x + q)= 0[/tex]
by Zero product property we obtain:
[tex] \displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}[/tex]
cancel out p from the first equation and q from the second equation which yields:
[tex] \displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}[/tex]
and we are done!
a test had a mean of 72% and a standard deviation of 8 what is the z-score for a test score of 85?
Answers
Answer:
The answer to this question is within 2 stabdard deviations
Step-by-step explanation:
to get the score of 85 you got to add the deviation value to the mean whuch creates the deviation. do that multiple times and you get a multiple deviation
72+8=80+8 is 88
88 is greater than 85 so a test score of 85 is within 2 standard deviations of the mean
(13 Points)
How many vertices
are shown by the
figure?
Answers
Answer:
12
Step-by-step explanation:
I AM GIVING OUT BRAINIIEST
Answers
Answer:
First Question - c. 320
Second Question - b. 5
Third Question - a. 8
If you have 8.1 grams of NaOH in 5 L of solution, what is the molarity? (Round answers to the nearest hundredth)
Answers
Answer:
0.04 mol/ Liter
Step-by-step explanation:
If you have 8.1 grams of NaOH in 5 L of solution, what is the molarity? (Round answers to the nearest hundredth)
The formula for molarity = Number of moles/ Volume in Liters
Step 1
Find the Number of moles of NaOH
We find the Molar mass of NaOH
Na = 23, O = 16, H = 1
Molar mass = 23 + 16 + 1 = 40 g/mol
Grams of NaOH in the solution = 8.1 grams
Number of moles = Mass/Molar mass
= 8.1 g/40 g/mol
= 0.2025 moles
Step 2
Molarity = 0.2025moles/ 5 L
= 0.0405 mol/ Liter
Approximately = 0.04 mol/L
PLEEEEASEEE HELP ASAP
In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel
a p e x
Answers
Answer:
a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
I just got done with this same quiz and i got a 100 .
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answers
Answer:
yes...
Step-by-step explanation:
Which equation has a graph that is a parabola with a vertex at (-2, 0)?
O y=-22²
O y = (x + 2)2
O y = (x - 2)2
Oy=x²-2
Answers
Answer: y = (x+2)^2
Aka: B
Step-by-step explanation:
Did it on edge just now !
The equation y = (x + 2)² has a graph that is a parabola with a vertex at
(-2, 0).
Option B is the correct answer.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x-h)^2 + k
We have,
The equation that has a graph that is a parabola with a vertex at (-2, 0) is
y = (x + 2)².
The general equation for a parabola is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
Comparing this general equation to y = (x + 2)²,
We can see that h = -2 and k = 0, which means that the vertex of the parabola is (-2, 0).
Therefore,
The equation y = (x + 2)² has a graph that is a parabola with a vertex at
(-2, 0).
Learn more about parabola here:
https://brainly.com/question/21685473
#SPJ7
What is the difference in the interquartile ranges of the two data sets? a 10 years b 25 years c 5 years d 20 years
Answers
Answer:
The interquartile range or IQR is equal to three minus one. We subtract the lower quartile value from the upper quartile value. ... As there are also seven values in data set two, the position of the quartiles and median will remain the same. The lowest value of data set two is 19, and the highest value is 28
Step-by-step explanation:
hope i helped and have a wonderful day
which number line shows the solution to a -5 > 3?
+
-6 -5 -4 -3 -2 -1 0
9
10 11
12
13
14
15
++
14 15
9
10
11
12
13
-6
6
-5
-4 -3 -2 -1 0
Answers
Answer:
WILL GIVE BRAINLIEST NO LINKS ANSWER ASAP
a taste test asks people from Texas and California which pasta they prefer brand a or brand b this table shows the results a person is randomly selected from those tested what is the probability that the person is from Texas given that the person prefers brand a
0.62
0.47
0.45
0.64
Which set of numbers could be the length of the sides of a triangle?
Answers
Answer:
B
Step-by-step explanation:
Because two sides of the triangle are the same length
Compare the dimensions of the prisms. How many times greater is the surface area of the green prism than the surface area of the blue prism?
The surface area of the green prism is __
times greater than the surface area of the blue prism.
Answers
Answer:
the green prisim is 5.59 or 5 times bigger!
Step-by-step explanation:
The surface area of the green prisim is 850 and the surface area of the blue one is 150 and 850 divided by 150 is 5.59!
Someone help me ASAP please and thank you
Answers
A.
Step-by-step explanation:
It's exactly what's asked for.
What is 4/8 + 1/4 simplified what is 3/5 + 2/10 simplified what is 1/3 + 3/9 simplified what is 2/10 +2/5 simplified and what is 3/6 + 2/12 simplified
Answers
Answer:
3/4, 4/5, 2/3. 3/5, 2/3
Step-by-step explanation:
What is 4/8 + 1/4 simplified
4/8 + 1/4
4/8 + (1/4)*2/2 (find the common denominator in our case it is 8)
4/8 + 2/8
6/8
or, 3/4 (I simplified the fraction to lowest term)
what is 3/5 + 2/10 simplified
3/5 + 2/10
3/5 + 1/5
4/5
what is 1/3 + 3/9 simplified
1/3 + 3/9
1/3 + 1/3
2/3
what is 2/10 +2/5 simplified
2/10 + 2/5
1/5 + 2/5
3/5
what is 3/6 + 2/12 simplified
3/6 + 2/12
3/6 + 1/6
4/6
2/3
The store owner buys clothes at wholesale and adds 80% to the wholesale
price to set the retail price. The retail price of a pair of pants is $36.00.
What is the wholesale price?
Answers
Answer:
$28.80
Step-by-step explanation:
36 * 80%
can I have some help? and with an explanation could help win brainist.
Answers
Answer:
20 units
Step-by-step explanation:
Hope this helps u :D
Answer:
24 units
Step-by-step explanation:
The distance between 2 and 4 is 2.
2 + 2 = 4
The width is 2 units.
The distance between - 3 and 5 is 8.
- 3 + 8 = 5 or 8 - 3 = 5
4 + 8 + 4 + 8 = 24
Helppp please !!!!!!! Easy math
Answers
Answer:
(0, 8 )
Step-by-step explanation:
The y- intercept is where the graph crosses the y- axis
The graph crosses the y- axis at 8 with coordinates (0, 8 )
Need help with work
Answers
Answer:
No
Step-by-step explanation:
Again, I don’t really want to help you :)
We can use the Pythagorean Theorem to solve the triangle to find x.
[tex]x^2=12^2+8^2[/tex]
[tex]x^2=144+64[/tex]
[tex]x^2=208[/tex]
[tex]x=\sqrt{208}[/tex]
x≈14.4
Find f(-2) for f(x)= 5x3^x
Answers
Answer:
f(-2) = 90
Step-by-step explanation:
Plugging in the value of f(x) into the equation:
f(-2) = 5(-2)3^(-2)
f(-2) = 5(-2)(-9) - evaluate the power first
f(-2) = 90 - multiply from left to right to obtain answer
the sum of the angle measures triangle is 180⁰ find the measures of each angle in the triangle below
Answers
Answer:
∠ABC= 82°
∠ACB= 82°
∠BAC= 16°
Step-by-step explanation:
∠ABC +∠ACB +∠BAC = 180° (∠ sum of △ABC)
(5x -3)° +(5x -3)° +(x -1)°= 180°
5x -3 +5x -3 +x -1= 180
11x -7= 180 (simplify)
11x= 180 +7 (+7 on both sides)
11x= 187
x= 187 ÷11
x= 17
∠ABC
= (5x -3)°
= [5(17) -3]°
= 82°
∠ACB
= ∠ABC
= 82°
∠BAC
= (17 -1)°
= 16°
Alternatively,
∠BAC
= 180° -82° -82°
= 16°
Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?
Answers
Answer:
$50,000
Step-by-step explanation:
We have an average of 10 livestock units per hectare
The number of units in 250 hectares will be;
250 * 10 = 2,500 units
Amount earned per unit is $20 per year
So, for 2,500 units, we have
2500 * $20 = $50,000
What is JL? Please help!
Answers
Answer:
13
Step-by-step explanation:
4 is 1.5 of 6. The 6 and 4 are the same side for JMK and KML. When you find that difference, you can multiply it by 6, because 6 is also KM for KML, Witch is 9. then 9 +4 is 13.
Write each binomial square as a trinomial. [tex](x-6)^2[/tex]
Answers
Write an expression to represent how to calculate the area of a triangular sail.
Answers
Answer:
(b × h) ÷ 2
Step-by-step explanation:
hello please help i’ll give brainliest
Answers
Answer:
biosphere
Step-by-step explanation:
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
Biosphere.
Thanks Hope it helpsEzekiel wants to use a one-sample z interval to estimate the proportion of seniors at his school who have a smartphone. He takes an SRS of 20 of the 100 total seniors and finds that 12 of those sampled have a smartphone. Which conditions for constructing this confidence interval did Ezekiel's sample meet?
Choose all answers that apply:
Answers
Answer:
answer is A
Step-by-step explanation:
"The data is a random sample from the population of interest.
This condition is met since he took an SRS (simple random sample) from the population of interest."
khan academy (trust me i try to find the answer might as well just give it, it was the only green one)
Answer:
A. The data is a random sample from the population of interest.
Step-by-step explanation:
