Please help me, I’m not very good at Pythagorean Theorem. The picture of the problem is attached. Really appreciate it
Answers
Answer:
14.4 inStep-by-step explanation:
The diagonal is the hypotenuse of the triangle with sides of 20.8 cm and 30.6 cm.
Find the length of the diagonal using Pythagorean:
[tex]d=\sqrt{20.8^2+30.2^2}=\sqrt{1344.68 } =1344.68 cm[/tex]Convert the length to inches:
36.67/2.54 = 14.4 inAnswer:
37 cm = 14.57 in
Step-by-step explanation:
A rectangle is a 4-sided shape with 2 pairs of congruent, parallel sides (width and length).
All interior angles of a rectangle are 90°.
The diagonal of a rectangle forms 2 congruent right triangles.
Diagonal = hypotenuse of the right triangleWidth and length = legs of the right triangleGiven:
Width of rectangle = 20.8 cmLength of rectangle = 30.6 cmPythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleTherefore:
a = 20.8b = 30.6c = diagonalSubstitute the given values into the formula and solve for c:
[tex]\implies 20.8^2+30.6^=c^2[/tex]
[tex]\implies c^2=1369[/tex]
[tex]\implies c=\sqrt{1369}[/tex]
[tex]\implies c=37\:\:\sf cm[/tex]
Therefore, the length of the diagonal of the rectangle is 37 cm.
Conversion
1 inch ≈ 2.54 cm
To convert the measure of the diagonal to inches, divide 37 cm by 2.54:
[tex]\implies \dfrac{37}{2.54}=14.57 \sf \:in\:\:(2 \: d.p.)[/tex]
Related Questions
Geometry! Please help
Answers
The measure of angle 3 is 115°
The high temperature was recorded as 19.8°F. The low temperature that same day was recorded as −4.5°F.What was the difference between the high and low temperatures for that day?
Answers
Answer:
24.3
Step-by-step explanation:
I hope this helps
Have a blessed day
The difference between the high temperature and the low temperature is 24.3 F.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the high temperature was recorded as 19.8°F. The low temperature that same day was recorded as −4.5°F.
The difference will be calculated as,
D = High temperature - low temperature
D = 19.8 - (-4.5)
D = 24.3 F
Therefore, the difference between the high temperature and the low temperature is 24.3 F.
To know more about an expression follow
https://brainly.com/question/26129290
#SPJ5
Cross products: what number is Missing?
Answers
Answer:
3
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
yeah-ya...... right?
Select the expression that is equivalent to (5x)^1/2
Answers
[tex]\sf{ }[/tex]
Step-by-step explanation:
[tex](5x)^{-\dfrac{1}{2}}\\\\\dfrac{1}{ (5x)^{\dfrac{1}{2}}}\\\\\dfrac{1}{\sqrt{(5x)}}[/tex]
Given: ZBECis a right angle
Prove: ZAEB and ZCED are complementary
Answers
The perimeter of a square is 28cm.
Work out the area of the square.
Answers
Answer:
28:4=7
7×7=49
Step-by-step explanation:
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Answer:
49cm^2
Step-by-step explanation:
a square has congruent sides so we can /4 to get each side when we are given the perimeter in such question.
28/4 = 7cm each side
area = L X W
= 7 x 7 = 49 cm^2
Tawanto’s family went out to dinner at a restaurant, and they decided to leave a 15% of the cost of their
meal as a tip for their server. The total amount of their tip was $20.10. What was the total cost of their
meal, before tip?
Answers
Answer:
17.085
Explanation: 20.10 - 15% is 17.085
x/7 = -57
Simplify your answer as much as possible
50 points to who answer's
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[tex] \frac{x}{7} = - 57 \\ x = - 57 \times 7 \\ x = - 399[/tex]
The answer is -399.
[tex]\sf \longmapsto \dfrac{1}{7} x = - 57[/tex]
Multiply both sides by 7[tex]\sf \longmapsto7* (\dfrac{1}{7} x)=(7)*(−57)[/tex]
[tex]\sf \longmapsto \: x=−399[/tex]
80% of what number is 15? Round the answer to the nearest tenth
Answers
To hmthe nearest tenth is 18.8
Answer:
x = 18.75 Round to nearest tenth is 18.8
Step-by-step explanation:
We have, 80% × x = 15
or, [tex]\frac{80}{100}[/tex] × x = 15
Multiplying both sides by 100 and dividing both sides by 80,
we have x = 15 × [tex]\frac{100}{80}[/tex]
x = 18.75
If you are using a calculator, simply enter 15×100÷80, which will give you the answer.
Write an INEQUALITY that represents the sentence
1) The sum of a number and 5 is less than 7
2) The product of a number and 8 is at least 25
3) Six less than a number is greater than 54
4) the quotient of a number and 12 is no more than 6
Answers
Answer:
Step-by-step explanation:
Let n represent the unknown number.
1) The sum of a number and 5 is less than 7 becomes n + 5 < 7
2) The product of a number and 8 is at least 25 becomes 8n ≥ 25
3) Six less than a number is greater than 54 becomes n - 6 > 54
4) the quotient of a number and 12 is no more than 6 becomes n/12 ≤ 6
Given the function f(x) = x - 1. evaluate f(-12).
Answers
Answer:
f(-12) = -13
Step-by-step explanation:
f(x) = x - 1
Let x = -12
f(-12) = -12-1
= -13
Answer:
[tex]f(x) = x - 1 \\ f( - 12) = - 12 - 1 \\ \boxed{ f( - 12) = - 13}[/tex]
f(-12) = -13 is the right answer.Jose makes $34 in 2 hours. How much does he make in 40 hours?
Answers
Answer:
680
Step-by-step explanation:
Jose's income in 2hours = $34
in 1 hour = 34 divide by 2 = 17
income made in 40 hours = 17 multiplied by 40 = $680
1. The cost of 4 hates is $29.68. What is the unit price?
2. Jess types 625 words in 6 minutes. How many words can Jess type per minute?
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To find the unit price, divide the total price by the number of items. A unit price is a unit rate for one item.
1. 29.68 / 4 = 7.42
So $7.42 is the unit price.
2. 625 / 6 = 104 (rounded to the nearest whole number)
So Jess can type 104 words per minute.
Answer:
1. 7.24
2. 104
Step-by-step explanation:
1. divide 29.68 by 4
> 29.68÷4
> 7.24
therefore the unit price is 7.24
check: 7.24x4=29.68
2. divide 625÷6
> 625÷6
> 104.1666667
> 104.1666667 round off 104
therefore he can type 104words per minute
2 x 1 = ?
Pretty tricky.. I know right..
Answers
Answer:
the answer is 2
Step-by-step explanation:
this was so hard to answer I needed to have a bit of consideration
Answer:
i think it is 2
Step-by-step explanation:
2 groups of 1 means there is 2 in total
please help me pass it
Answers
Answer
its G
Step-by-step explanation:
it 23
Find the range and domain of the following function
Answers
write the first five terms of the geometric sequence with the given 1st term and the common ratio.
—
hi can someone please answer my question i really need the complete step-by-step solution thank you ❤️
Answers
Note the rule
[tex]\boxed{\sf a_n=ar^{n-1}}[/tex]
Now
[tex]\\ \tt\longmapsto a_2=3(-1/2)^{2-1}=3(-1/2)=-3/2[/tex]
[tex]\\ \tt\longmapsto a_3=3(-1/2)^{3-1}=3(-1/2)^2=-3/4[/tex]
[tex]\\ \tt\longmapsto a_4=3(-1/2)^{4-1}=3(-1/2)^3=-3/8[/tex]
[tex]\\ \tt\longmapsto a_5=3(-1/2)^{5-1}=3(-1/2)^4=-3/16[/tex]
Giving right answer a branleist
Answers
Answer:
(a) 860, (b) 860, (c) 860 and 186
Step-by-step explanation:
(a) 860
860 ends with a zero or a five, 186 and 863 do not.
(b) 860
860 ends with a zero, 186 and 863 do not.
(c) 860, 186
860, the 0 is even. 186, the 6 is even. 863, the 3 is not even.
What is 513 divided by 54
Answers
Answer:
9.5
Step-by-step explanation:
Answer:
9.5
Step-by-step explanation:
Simplify 3⁸ x 3⁴/ 3² x 3⁸ leaving your answer in index form.
Answers
Answer:
3²
Step-by-step explanation:
3⁸ x 3⁴/ 3² x 3⁸
= 3⁴/ 3²
= 3 x 3 x 3 x 3 / 3 x 3
= 3 x 3
= 3²
Write -(3) to the power of 4 in expanded form?
Answers
-3 x -3 x -3 x-3= -81
El costo total para fabricar sopaipillas incluye un costo fijo de $ 5.000 más un costo de $ 80 por cada unidad. ¿Cuál de las siguientes funciones expresa el costo total ( C ), en pesos, para fabricar x sopaipillas
Answers
Answer:
y = 80x + 5000
Step-by-step explanation:
Help me please
3x+12=?
Answers
Answer:
3(x+4)
Step-by-step explanation:
simple common factor problem.
Please help I’m tired and I need to go to bed! I’ll mark Brainly thingy.
Answers
PLEASE HELP!!
QUESTION 1
After the storm, the small tree in my neighbor's yard was leaning. To keep it from falling, we nailed a 6-ft strap into the ground 2 ft from the base of the tree. We measured 5 feet along the tree and attached the other end of the strap to the tree. What degree was the tree leaning? Round to the nearest degree. Enter a number
Answers
The shape of a glass stopper is composed of a hemisphere of radius 3 cm and a right circular cone with a slant height of 5 cm as shown. Find the total surface area of the glass stopper. (Take 3.14)
Answers
Answer:
Total Surface Area = 150.72 cmStep-by-step explanation:
Surface Area of a cylinder = 2 × area of base + lateral face
First find the area of the base
Area of Base = πr² ( pi × radius squared ) ( pi = 3.14 )
AB = 3.14 × 3²
AB = 3.14 × 9
Area of Base = 28.26
Next, find the lateral face
Lateral Face = circumference of base × altitude
( circumference of base = 2πr ) ( altitude = height of the cylinder )
LF = 2 × 3.14 × 3
Lateral Face = 18.84
Last, is the Surface Area
Surface Area of a cylinder = 2 × area of base + lateral face (formula)
SA = 2 × 28.26 + 18.84 × 5
SA = 56.52 + 18.84 × 5
SA = 56.52 + 94.2
Total Surface Area = 150.72([1 + 7)^2]^2 x (12^2)^0
Answers
Answer:
64
Step-by-step explanation:
5 estrells
Plsss so keen help ASAP
Answers
The pattern shows the square tiles and the triangular tiles used in a walkway.
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here's the Answers :
blank 1 [tex]\rightarrow[/tex] 3 blank 2 [tex]\rightarrow[/tex] 5blank 3 [tex]\rightarrow[/tex] 7 blank 4 [tex]\rightarrow[/tex] 9blank 5 [tex]\rightarrow[/tex] 11Rate of change : slope
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{5 - 3}{2 - 1} [/tex][tex]2[/tex]blank 6 [tex]\rightarrow[/tex] 2is the following relation a function? (6,2) (-1,-1) (4,3)
Answers
Answer:
yes
Step-by-step explanation:
it draws the line if you put them in a grid form