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.
What is the answer if you factor 5x^2+15x-20
PLEASE HELP IF YOU KNOW HOW TO EXPLAIN
Answer:
cos Q = 28/53
Step-by-step explanation:
cosine = CAH
= Adjacent / Hypotenuse
adjacent length 25 and hypotenuse is 53
hope this helps!
How do I solve these problem?
Answer:
- 199
Step-by-step explanation:
7.
a1 = 25
d = - 16
15th term is t15.
Formula : -
an = a + ( n - 1 )d
t15
= 25 + ( 15 - 1 ) - 16
= 25 + 14 ( - 16 )
= 25 + ( - 224 )
= 25 - 224
= - 199
Complete the table for the relationship shown in the graph
Answer:
where ?
Step-by-step explanation:
where is the question to solve ?
Write an equation in slope-intercept form for the line that passes through (0, 1) and (2, 5). socratic.org
Answer:
y = 2x + 1
Step-by-step explanation:
i used desmos
Find the length of side a.
Answer:
12
Step-by-step explanation:
The Pythagorean Theorem says that in a right triangle, [tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex], so in this triangle, the legs are 5 and a; the hypotenuse is 13.
[tex]5^2+a^2=13^2\\25+a^2=169\\a^2=144\\a=\sqrt{144}\\a=12[/tex]
What’s the ratio of 42¢ to $1.25?
an event that cannot happen is
a certain
b possible
c impossible
P(blue) someone plz help me
There are 12 girls on the soccer team. That is 3 times the number of boys on the team.
How many boys are on the team?
Answer:
4 boys
Step-by-step explanation:
[tex]\frac{1}{3} :\frac{y}{12}[/tex]
3 × y = 1 × 12
3y = 12
3y ÷ 3 = 12 ÷ 3
y = 4
Solve the triangle for all missing sides and angles
Answer:
x = 35
C = 18.92
A = 71.07
Step-by-step explanation:
x)
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\\\\\12^{2} +x^{2} =37^{2} \\x^{2} = 37^{2}-12^{2}\\x=35[/tex]
For Angle C
The angle C can be found using the inverse sine function.
C=arcsin(opp/hyp)
C=arcsin(12/37)
C=18.92
For Angle A
The sum of all the angles in a triangle is 180 degrees.
A + 90 + 18.92 = 180
A = 71.07
flat family roof on goformative answer
can someone please help me with this???
A- When one variable increases the other variable decreases. :)
What function returns a reference to a cell (or cell range) that is a specified number of row and columns from a base cell?
Answer:
The offset function
Step-by-step explanation:
In Microsoft Excel, the offset function or formula returns reference to a particular cell.
The syntax is:
= OFFSET(reference, rows, cols)
Where:
reference = the base cell
rows and cols are the direction to move
For instance:
OFFSET(A1, 3, 1) will return cell B4
Because:
3 will shift down the reference from A1 to A4
1 will shift right the reference from A4 to B4
Noah pagó $28 por los jeans después de usar el cupón. Cuál es el precio regular de el par de jeans?
La respuesta correcta es$40
Explique aquí como y porqué $40 es la respuesta
Please Help I'm stuck
Answer: the total area is 26 in^2, which is option B
Step-by-step explanation:
ok you have to find the area of the rectangle to the left of the line and then the area of the right triangle and add them together to get the total area
so for the area of the rectangle it would be
a = Lw
a = 4 * 5 = 20 in^2
now to find the area of the triangle we first subtract 5 from 8 to see the lenght of the segment from the vertical line to the vertex of the triangle
8 - 5 = 3
so the segment is 3 inches long
the formula for the area of a triangle is (1/2)bh
(1/2)(3)(4) = 1/2 (12) = 6
so the area of the triangle is 6 in^2
now lets add the area of the rectanglke and the area of the triangle together to find the total area
20 in^2 + 6 in^2 = 26 in^2
the total area is 26 in^2, which is option B
Answer:
B. 26 square inches
Step-by-step explanation:
For the rectangle, 4 times 5 equals 20, then 4 times 3 equals 12 divided by 2 equals 6. 20 + 6 = 26
each month Leo makes copies of a budget report. when he uses both the large and small printer the job takes 30 minutes. if the small printer is broken it takes him 50 minutes. how long would the job take if the large printer were to break?
His job will take 75 minutes long
On average, the moon is 384,400 kilometers from the Earth. How is this distance written in
scientific notation?
A. 0.3844 x 10^-6
B. 3.844 x 10^-5
C. 3.844 10^5
D. 0.3844 x 10^6
Answer:
C
Step-by-step explanation:
hope this helps with the work
-6x² + 8x + 10is in what form?
A)Standard
B)Linear
C)Vertex
D)Parent
Step-by-step explanation:
The given quadratic equation is in standard form.
slope plz I forgot this whole lesson
Answer:
The slope is 1
Step-by-step explanation:
Have a good day :)
The measure of angle P is ___ degrees, rounded to the nearest hundredth.
Answer:
35.00 degrees
Step-by-step explanation:
Is angle ABC a SAS, SSS, or ASA
Answer:
SSS
hope this helps
have a good day :)
Step-by-step explanation:
Answer: I’m not really sure what the question is, but I think it’s ABC.
Step-by-step explanation:
S is not in the triangle and it is in all of the angles besides ABC, so yeah!
In 1990, the population of the U.S. was about 250 million and was growing exponentially
at a rate of about 1% per year. At this rate, in what year will the population have
doubled?
a. 2080
b. 2070
c. 2060
d. 2050
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 250 million
Future Value (FV)= 500 million
Growth rate (g)= 1% per year
First, we need to calculate the number of years required for the population to double:
n= ln(FV/PV) / ln(1+g)
n= ln(500/250) / ln(1.01)
n= 69.66 = 70 years
It will take 70 years for the population to double.
Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is
5 ft from the house. About how high up the side of the house does the ladder reach?
Round to the nearest tenth of a foot?
Ashley and matt each purchase one raffle ticket. If a total of 13 raffle tickets are sold and two winners will be selected,what is the probability that both ashley and matt win?
Answer:
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.
The temperature in San Antonio, Texas is currently 77 degrees Fahrenheit and increasing by 3 degrees per hour. The current temperature in Mumbai, India is 92 degrees Fahrenheit and dropping by 2 degrees per hour. 1. When will the temperatures be the same? 2. What will that temperature be?
Answer:
1)3 2)86
Step-by-step explanation:
3h+77=SA AND 92-2h=MB
3h+77=92-2h
-77. = -77
3h= 15-2h
+2h=+2h
5h=15
H=3
Which of the following statements accurately describes the expression x+5/x^2-2
A. The product of x+5 and X2-2
B. The quotient of x2 -2 and x+5
C. The quotient of x+5 and x2 - 2
D. The product of x2 -2 and x+5
Answer:
It is C.
Step-by-step explanation:
the division sign indicates it is evidently going to be B or C. Then it's just simple knowledge.
The statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]= \rm \dfrac{x+5}{x^2-2}[/tex]
We can write the above expression as follows:
= (x + 5) ÷ (x² - 2)
The above expression is not in the product.
The quotient of x+5 and x² - 2
Thus, the statement describing the expression as the quotient of x+5 and x² - 2 option (C) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ5
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping. How is the amount of money Michelle spent shopping represented?
Answer:
-45
Step-by-step explanation:
We know that Michelle has a bank account of one hundred eighty four dollars, she then deposits thirty eight into her account, then goes shopping. Spending forty-five dollars. We are then asked the amount of money she spent being represented.
Our keyword is "spent" and "fourty-five". These determine how much money is being taken away or added.
Since we know that spending money is decreasing the amount you have, then we would need a negative sign, and since we also know the amount she spended on is forty-five, that leads us to our answer being -45
Answer:
$117
Step-by-step explanation:
184+38=222
222-45=117
please help me ASAP!!
Answer:
The answer is sqrt of 64
Step-by-step explanation:
A random sample of US adults revealed that approximately 68% own their own home. In this same sample, 52% of the respondents had completed some additional form of education following high school (trade or technical school, 2-year or 4-year college, military training, etc.). Finally, 44% of respondents had completed some additional form of education following high school and owned their own home.
Given that a randomly selected adult from the survey has completed some additional form of education following high school, what is the probability that the person is a homeowner?
a. 0.44
b. 0.647
c. 0.765
d. 0.846
Answer:
D) 0.846
Step-by-step explanation:
Edge 2021
Answer:
0.846
Step-by-step explanation:
just got it right