Answers
Answer:
[tex]HI=HJ=\sqrt{30}[/tex]units
[tex]\angle I=45^{\circ}[/tex]
Step-by-step explanation:
We are given that
[tex]\angle J=45^{\circ}[/tex]
[tex]JI=2\sqrt{15}[/tex]units
We know that
[tex]sin\theta=\frac{Perpendicular\;side}{hypotenuse}[/tex]
Using the formula
[tex]sin45=\frac{HI}{2\sqrt{15}}[/tex]
[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HI[/tex]
Where [tex]sin45^{\circ}=\frac{1}{\sqrt{2}}[/tex]
[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HI[/tex]
By using rationalization
[tex]HI=\sqrt{30}[/tex] units
[tex]Cos45=\frac{HJ}{2\sqrt{15}}[/tex]
Using the formula
[tex]cos\theta=\frac{base}{hypotenuse}[/tex]
[tex]\frac{1}{\sqrt{2}}\times 2\sqrt{15}=HJ[/tex]
[tex]\frac{2\sqrt{15}\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}=HJ[/tex]
[tex]HJ=\sqrt{30}[/tex] units
When two sides are equal then angle made by two equal sides are equal
Therefore,
[tex]\angle J=\angle I=45^{\circ}[/tex]
Related Questions
Cannnn SOMEONE HELP PLEASEEE
Answers
Answer:
C
Step-by-step explanation:
Jon makes $76 in 12 hours of work for his mom. How much would Jon make in 20 hours of work.
Answers
Answer:
around 126
Step-by-step explanation:
evaluate each expression if m = 13 and n = 8
1.) 2m - n
2.) 3m + 2n
3.) 12 + 3 x m - n
4.)
Answers
26-8
=18
2. 3(13)+2(8)
39+16
=55
3. 12+3x13-8
12+39-8
51-8
=43
4 is blank
Hope this helps
Answer:
1.) 18
2.) 55
3.)43
Step-by-step explanation:
Which graph represents the solution to the compound inequality?
–6 < 3x – 12 ≤ 9
Answers
Answer:
second graph
Step-by-step explanation:
Solving the inequality
- 6 < 3x - 12 ≤ 9 ( add 12 to all 3 intervals )
6 < 3x ≤ 21 ( divide the intervals by 3 )
2 < x ≤ 7
The graph has an open circle at 2 and a closed circle at 7
This is represented on the second graph
How can you solve real-world and mathematical problems with numerical and algebraic equations and inequalities?
pls help due soon will give branliest
Answers
Answer:
Algebra can be applied to the temperature in different places that both change, height of a growing child over time, the speed of a car that changes over time (mph), and the age of people that increases over year.
Step-by-step explanation:
Factor as the product of two binomials. x^2-9x+20
Answers
Answer:
(x-4)(x-5)
That is the answer, hope it helps.
The number of incidents in which police were needed for a sample of 10 schools in one county is:
6
40
49
4
42
47
17
8
32 11
Find the first and third quartiles for the data.
Part: 0/2
Part 1 of 2
First quartile Q, is
Answers
Answer:
3Step-by-step explanation:
expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and
A. Solve the following linear equations.
2.) y - 18 = 32
3.)x/1.3=-6
4.) b/4=3/8
5.)3x-53=-16
6.)8x-7+2x=6+5x+2
7.) 7x-1=9-5x
Answers
Answer:
2. y = 50
3. x = 7.8
4. x = 3/5
5. x = 23
6. x = ?
I don't know 6 answer...
PLEASE HELP ILL MARK AS BRAINLIEST!!!!
Maria louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 9 vertices, the second shape has 13 vertices, and the third shape has 17 vertices.
If maria louisa assumes that the number of vertices in the sequence of the shapes follows the same pattern, how many vertices would she expect the 24 shape to have?
A)87
B)97
C)101
D)105
E)109
Answers
Answer:
105
Step-by-step explanation:
add 9 then multiply 24 x 4 = 96 then do 9+96=105
A (Decode this message)
Answers
Answer:
don't cry because it is over smile because it happened
Step-by-step explanation:
Select all the equations for which (-6,-1) is a solution. *
y = 4x + 23
3x = (1/2)y
2x + 6y = -6
2x - 13y = 1
Answers
enter a negative number that has a greater absolute value than 5
Answers
Answer:
-10 ||10||
Step-by-step explanation:
factor the expression 9r2-4
Answers
Answer: Hieee! So the answer to this problem is (3r-2)(3r+2) I think...
Step-by-step explanation:
Answer:
9(r - 5)(r - 1)
Step-by-step explanation:
please answer this quickly
Answers
Answer:
Step-by-step explanation:
Drink Pipsi
Price
$1.50
You have decided to increase your drink
price by $1.00. What is the percent of
change?
Please show your work
Answers
Answer:
plus 33.333...
Step-by-step explanation:
100/3=33.333...
so it becomes $2.5=133.333...
Look at the hundredths grids below. Which mathematical equation accurately depicts which decimal is greater and less than?
A. 0.92 > 0.95
B. 1.92 < 0.95
C. 0.92 < 0.95
D. 0.90 < 0.95
Answers
A rectangular glass window is divided into two equivalent right triangles by a diagonal brace. What is the length of the diagonal brace?
A. 9 inches
B. 12 inches
C. 15 inches
D. 21 inches
Answers
Answer:
15
Step-by-step explanation: 9 square plus 12 squared equal 225 and then find the square root of 225 which equals 15
A rectangular garden is 5m longer
than it is wide.
The area of the garden is 600m2
Calculate the width and length of the garden.
Answers
Answer:
The width of the garden is 22.12 m and its length is 27.12 m
Step-by-step explanation:
Equations
Let x = width of the garden
The length is 5 m longer than the wide, thus:
x + 5 = length of the garden
The area of the rectangular garden is
A=x(x+5)=600
Operating:
[tex]x^2+5x-600=0[/tex]
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Where a=1 b=5 c=-600:
[tex]\displaystyle x=\frac{-5\pm \sqrt{5^2-4(1)(-600)}}{2(1)}[/tex]
Operating:
[tex]\displaystyle x=\frac{-5\pm \sqrt{25+2400}}{2}[/tex]
[tex]\displaystyle x=\frac{-5\pm \sqrt{2425}}{2}[/tex]
There are two solutions:
x = 22.12
x = -27.12
The negative solution is not valid because x is the width of the garden, thus
x = 22.12 m
And
y = 22.12 + 5 = 27.12 m
The width of the garden is 22.12 m and its length is 27.12 m
Kristin's credit rating was lowered, and the credit card company raised her APR from 14% to 15.2%. If her average daily balance this month is x dollars, express algebraically the increase in this month's finance charge due to the higher APR. Fill in the blank 1
Answers
Answer:
0.0022x
Step-by-step explanation:
Given that,
The credit card company raised her APR from 14% to 15.2%.
Her average daily balance this month is x dollars.
We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :
[tex]y=x\times \dfrac{12\%}{14}-x\times \dfrac{15.2\%}{14}\\\\=x\times \dfrac{12}{1400}-x\times \dfrac{15.2}{1400}\\\\=-0.0022x[/tex]
So, the required increase in the month's finance is 0.0022x.
Answer:
0.001x
Step-by-step explanation:
Is this right. Please help me I will make you Brainliest
Answers
What is the value of y?
40°
y +30
A. 1100
B. 10°
C. 55°
D. 850
Answers
Answer:
the answer is c or 55
Step-by-step explanation:
good luck on your quiz!
What is the sticker price?
Answers
60% gross margin means they increase by the price by 60%
Multiply the purchase price by 1 + the gross margin:
16 x (1 + 0.60) = 16 x 1.60 = 25.60
The sticker price is $25.60
expand and simplify (3X+1)(2X+4)
Answers
Answer:
6x square +14x+4
Step-by-step explanation:
hope this helps................
Answer:
6x^2+14x+4
Step-by-step explanation:
6x^2+12x+2x+4
6x^2+14x+4
5.3 - 4.2
What does this equal
Answers
the answer is 1.1
i hoped this help
-6a - 4 + 7a + 2 —— i dont really understand haha
Answers
Answer:
−2
Step-by-step explanation:
-21 – (-14) =+=
Helpppp
Answers
Answer:
-21 - (-14) = -21 + 14 = -7
Step-by-step explanation:
A - and a - make a +. So -21 - (-14) makes -21 + 14. Solve to get -7.
Hope it helps!
The distance between two cities on a map is 4 Inches. The actual distance between the two citles is 24 miles.
a. What is the scale used on the map?
b. If the scale on a different map of the same area Is Inch = 1 mlle, how many Inches separate the same two cities?
Answers
B)4miles
please helppppppppppppppppppppppppppp don't get me wrong
Answers
What's 4 x 90 divided by 3 x 7?
Answers
Answer:
17.14
Step-by-step explanation:
360/21=17.14
Answer:
(4 × 90) ÷ (3 × 7)
= 360 ÷ 21
= 17.14
Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?
Answers
Answer:
243 people
Step-by-step explanation:
Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?
The ratio is given as:
Caretakers : Children
2 : 7
= In fraction = 2/7
If there are 189 total children, then how many people are at the daycare facility?
Step 1
We calculate the number of caretakers is there are 189 children
7 children = 2 caretakeras
189 children = x
Cross Multiply
7x = 189 × 2
x = 189 × 2/7
x = 54 caretakers
Step 2
The total number of people at the daycare
= 189 children + 54 caretakers
= 243 people