In the figure below, GRAH is a rectangle, RA=7, and GA=10. Determine AH.
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.
Identify the equation of the circle B that passes through (4, -6) and has center (3, -2).
Answer:
solution given :
centre (h,k)=(3,-2)
another point (a,b)=(4,-6)
now
radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17
We have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x-4)²+(y+6)²=17 is a required equation.
which equation represents the parabola?
f(x)=4x^2-17x+3 how many distinct real number zeros does f have?
Answer:
2
Step-by-step explanation:
2 distinct real number zeros
Step-by-step explanation:
The discriminant b^2 - 4ac
= (-17)^2 - 4*4*3
= 241
So it has 2 distinct roots.
A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%. What is the mean of X, the number of patients seen until an injection-site reaction occurs?
3.1289
8.5763
9.0909
11
Answer:
The answer is 9.0909
Step-by-step explanation:
n=1 p=.11
mean = 1/0.11 = 9.0909
The mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.
What is mean?The mean refers to "the average set of values".
According to the question,
The percentage of patients experiencing injection- site reactions with the current needle is 11%.
Mean = [tex]\frac{sum of the all values}{Total number of values}[/tex]
Total number of values = 11% = 0.11 and n = 1.
Mean = [tex]\frac{1}{0.11}[/tex]
=9.0909.
Hence, the mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.
Learn more about mean here
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Please help me choose the right answer
Matt bowled three strings. His scores were 220, 166, and 181. What was his average for the three strings?
Answer:
189
Step-by-step explanation:
To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.
567 divided by 3 = 189
I hope this helps :DDDDDDDDDDD
What kind of triangle would this one be?
Answer:
Scalene right
Step-by-step explanation:
It has a right angle, and two 45 degree angles as well as two sides of equal length
Answer:
I believe its scalene obtuse
so sorry if I'm wrong
Luis needs 3 1/8 cups of blueberries for his pie. A store sells containers of blueberries that each hold 3/4 cups.
How many containers will Luis use to make his pie? Move numbers and a symbol to the lines to create an equation that shows the answer.
Answer:
3 1/8 divided by 3/4 = 4 1/6. basically 5 containers.
The ratio of two siblings current age is 1/2. In ten years the ratio of their ages will be 3/4. How old are they now?
Answer: 3:5
Step-by-step explanation: heres the answer
Use substitution method to solve for x and y.
y = -8x -23 ...........(i)
y = 4x + 1 ............(ii)
Answer:
X=-2, y=-7
Step-by-step explanation:
PLEASE HELP!! Step by step if possible
Answer:
r = 9
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
Can y’all help me with this
Answer:
it's the last one *25,000 J
Step-by-step explanation:
What is 2 over 5 x 5 over 8
Answer:
the answer is 1/4
Step-by-step explanation:
2/5 × 5/8
2× 5/ 5 × 8
= 10/40
=1/4
Answer:
1/4
Step-by-step explanation:
You would do 2/5 times 5/8 which would equal 10/40 cause 5 times 2 is 10 and then 5 times 8 is 40 and then you would simplify the fraction 10/40 which would make it 1/4
surface area of prisms. please help with the work shown because i can't figure out how to solve these :(
here: :)
I did the work, and basically i solved for the area of the faces and then multiplied that by two to get the total surface area of the faces. Then I added in the areas of the sides connecting the two faces:
just as a referral: the formulas to find the faces are as follows:
rectangle: length times width
circle: pi x r^2
trapezoid: h(base1 + base2)
and triangle: (b x h)/2
You are at (1,5). The zombie is six units to the right. Enter the correct coordinates of the zombie below.
Answer:
(7, 5)
Step-by-step explanation:
Right = movement on the x axis
X coordinate - 1
+6 units to the right = 7,5
(Keep y axis)
Answer:
(7,5)
Step-by-step explanation:
X Plus 2/4 equals 20
Can someone help me find the slope I totally forgot how to do this
Answer:
2/3
Step-by-step explanation:
Rise/Run. The one taught in school.
2/3
also 69 problems? That's alot. Hang in there...
1. The word sum
means you are
going to be
doing what
operation?
I neeed helllppp asappp
Answer:
Multiplication
Step-by-step explanation:
I believe 2x2 would have a sum of 4.
Answer:
Addition
Step-by-step explanation:
Sum means add
difference mean subtract
of mean multiply
By mean divide
have a great day!
What is the largest integer value of x such that the value of f(x) = x ^ 2 - 6x + 40 exceeds the value of g(x) =; 2 * (1.5) ^ x
Answer:
1
Step-by-step explanation:
2#&&#&÷&7*÷**#*×*×*÷(×(×¥=111
A train travels 120 mi in 1 hour and 20 minutes. How many miles will the train go in 6 hours traveling at the same rate?
Answer: 541.32 miles
Step-by-step explanation:
First find the speed of the train in miles per hour.
1 hour 20 minutes needs to be converted to decimal:
= 1 20/60
= 80/60
= 1.33 hours
Speed is:
= Distance / Time
= 120/ 1.33
= 90.22 miles an hour
If the train is traveling 6 hours at the above speed, it will travel:
= Speed * time
= 90.22 * 6
= 541.32 miles
Solve by completing the square.
x2 + 12x + 8 = 0
In ΔSTU, t = 3.4 cm, u = 6.9 cm and ∠S=21°. Find the area of ΔSTU, to the nearest 10th of a square centimeter.
Answer:
4.2
Step-by-step explanation
Delta
The area of the triangle STU to the nearest of a square centimeter is 4.2 cm².
Area of a trianglearea of the triangle = 1 / 2 tu sin S
where
height = u sin STherefore,
t = 3.4 cm
u = 6.9 cm
∠S = 21°
Hence,
area of the triangle = 1 / 2 × 3.4 × 6.9 sin 21°
area of the triangle = 23.46 sin 21 / 2
area of the triangle = 23.46 × 0.35836794954 / 2
area of the triangle = 8.40731209633 / 2
area of the triangle = 4.20365604817
area of the triangle = 4.2 cm²
learn more on triangle here: https://brainly.com/question/22252675
What is the domain of y =
cos-1^x?
Answer:
A
Step-by-step explanation:
correct on edge
Answer:
A) [-1,1]
Step-by-step explanation:
The function of y=cos⁻¹(x) has a domain of [-1,1] and a range of [0,π]. Observe the graph.
.
A
bakery bakes 200 Loaves per hour
In how much time the bakery will
bake 1000 Loaves
Answer:
It will take 5 hours for the bakery to bake 1000 loaves.
hey! i’ll give brainliest please help
Answer:
Conjunction
Step-by-step explanation:
Have a good day :)
Answer:
[tex]Conjuction[/tex] (๑・ω-)~♥”
Which equation describes the function?
Answer:
y = mx + c
or as Americans say... y = mx + b
Step-by-step explanation:
y is the subject
the coefficient of x is the gradient
x is x
and the constant is b/c
8 1/2 pounds cost $34 ____ per pound
Answer:
$4 per pound
Step-by-step explanation:
34/8.5(or 8 1/2) is equal to 4.
Find the circumference of the circle.
please help me baby
5^2+5^2=c^2 solve pythagorean theorem
Answer:
[tex]\sqrt 50[/tex]
Step-by-step explanation: