A = 64 cm
ABC
A = 225 cm
In the diagram, how would you determine the length of the hypotenuse using the Pythagorean Theorem?
А
Find the area of the triangle then apply Pythagorean Theorem
B
Subtract the area of the squares and then apply Pythagorean Theorem
С
Add the areas of both squares together and then apply Pythagorean Theorem
D
Find the lenath of one side of each square and then apply the Pythagorean Theorem
Answers
Answer:
The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.
Step-by-step explanation:
Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)
The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.
Given :
Area of the small square is 64 [tex]\rm cm^2[/tex].Area of the larger square is 225 [tex]\rm cm^2[/tex].The side length of the smaller square can be calculated as:
[tex]a^2 = 64[/tex]
a = 8
The side length of the larger square can be calculated as:
[tex]b^2 = 225[/tex]
b = 15
So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.
[tex]\rm H^2=P^2+B^2[/tex]
Now, substitute the values of known terms in the above expression.
[tex]\rm H^2=(8)^2+(15)^2[/tex]
[tex]\rm H = \sqrt{64+225}[/tex]
H = 17 cm
Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.
For more information, refer to the link given below:
https://brainly.com/question/25834626
Related Questions
PLEASE HELP IN MATH URGENT..
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Answer:
b
Step-by-step explanation:
find the missing side length
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Please help for math in 2 min or less
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Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base length
what is the hight?
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Answer:
23
Step-by-step explanation:
because 10+13 well hope that helps
Ryan had some candy to give to his five children. He took three pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many did he start?
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Answer:
he had 13 peices of candy
Step-by-step explanation:
if he has 3 pieces for himself and 2 for each kid and he has 5 kids then you would just multiply 2 and 5 then add 3
the equation is (2 times 5)+3
Alice has 8 acres of orchards.
Alice grows apple trees in 4 acres of the orchards
She grows pear trees in the rest.
How many acres of pear trees does Alice have?
Answers
Answer:
4
Step-by-step explanation:
8-4=4
difference in acres
f(x)=-x^2-14 find f(9)
Evaluate the function
Answers
f(x)=x2−14 is the answer
if in one batch of cookies, you use 6 cups of dough and 2 cups of chocolate chips
how many cups of chocolate chips will you need to make two batches of cookies
Answers
Answer:
4cups of chocolate chips
Hope I helped
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
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2x2=4
Algebra 2 - Grade 11
Can anyone please help me with these Algebra 2 Math questions?
Soon as possible !!!
Find p(–4) if p(x) = 3x^3 – 2x^2 + 6x – 4
If r(x) = x^3 – 2x + 1, find r(2a^3).
Answers
Answer:
I think that the first part would be -252, but I'm not sure about the second part
Step-by-step explanation:
Find p(–4) if p(x) = 3x^3 – 2x^2 + 6x – 4
p(-4) = 3x^3 – 2x^2 + 6x – 4
p(-4) = 3(-4)^3 – 2(-4)^2 + 6(-4) – 4
= 3(-64) - 2(16) + 6(-4) - 4
= -192 - 32 - 24 - 4
p(-4) = -252
r(x) = x^3 – 2x + 1, find r(2a^3)
r(x) = (x^3 – 2x + 1) (2a^3)
= (2a^3) x^3 + (2a^3) (-2x) + (2a^3) * 1
= x^3 (2a^3) - 2x (2a^3) + 1 * (2a^3)
r(x) = 2a^3x^3 - 4a^3x + 2a^3
I’m not entirely sure about this one as I’m also in 11th grade but I think this is how it’s done.
Mark, Paul and Brian share some sweets in the ratio 1:3:5. Mark gets 14 sweets. How many
did Brian get?
Answers
Answer:
7
Step-by-step explanation:
hope it helps
Then from the total number of sweets (14) divide by 9 which gives you 1.5
Then 1.5x Brian’s share (5) gives you 7 sweets
In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.
Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.
What is the area of the quadrilateral
Q
R
U
T
?
Answers
Answer:
maths challenge>
Step-by-step explanation:
samee
Question 10(Multiple Choice Worth 1 points)
(05.02 MC)
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:
High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8
Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answers
Answer:
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
Step-by-step explanation:
The college data has large outliers which skews the data, therefore the IQR is better measure of spread.
The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.
Compare: 1.6 x 10^-5 and 1.62 x 104^-4
A) >
B) <
C) =
D) none of the above
Answers
Answer:
D
Step-by-step explanation:
Sum of two numbers = 15 (Addition)
Difference of two numbers =3 (Subtraction)
Find the two numbers.
What is the product of those two numbers? (Multiplication)
Answers
Answer:
The numbers are x= 9 and y =6
The product of two numbers
x y = 9 × 6 = 54
Step-by-step explanation:
Step(i):-
Let x and y are two numbers
Given that the sum of two numbers
x + y = 15 ..(i)
Given that the difference of two numbers
x - y = 3 ..(ii)
adding (i) and (ii) , we get
x + y + x -y = 15 +3
2 x = 18
x =9
Step(ii):-
Substitute x = 9 in equation (i) , we get
x + y = 15
9 + y = 15
y = 15 - 9
y = 6
Final answer:-
The numbers are x= 9 and y =6
The product of two numbers
x y = 9 × 6 = 54
The distribution of 4 in the following expression (5+s)4
Answers
Answer:
( 5 + s ) 4 = 20 + 4 s
Step-by-step explanation:
Distribution property
Let a, b and c are numbers then distribution property is defined by
a( b + c) = a b + a c
(a+ b) c = a c + b c
Given that
( 5 + s ) 4 = 5× 4 + s× 4
= 20 + 4 s
Final answer:-
( 5 + s ) 4 = 20 + 4 s
can someone help please!!
Answers
Answer:
x=106
Step-by-step explanation:
ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.
Answers
Answer:
d. 18
Step-by-step explanation:
Lengths AG and CF of the parallelogram are equal.
i.e AG = CF
where AG = 2x + 10
CF = 5x -2
→ 2x + 10 = 5x-2
(collecting like terms): 5x - 2x = 10 + 2
→ 3x = 12
x=12÷3 = 4
∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18
∴ CF = 18 (answer)
NEED HELP!!! WILL GIVE BRANLIEST Which of the following options best describes the slope of line a?
Answers
Answer:
Positive
Step-by-step explanation:
A spherical balloon has a diameter of 4 feet.
Approximate how many cubic feet of air this balloon holds.
Note: 'pi' means 'LaTeX: \piπ ', which is approximately 3.14. Use 3.14 as an approximation for LaTeX: \piπ , and give a numerical answer.
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Answer:
33.49
Step-by-step explanation:
just did that
cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))
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Answer:
Answer below
Step-by-step explanation:
I really hope it works
Below is a table of revenue and cost, in thousands of dollars, of a business. Use the best fit line to estimate the number of months until the business is no longer profitable.
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Answer: It's 18
Step-by-step explanation: i took it and got it right
y - 2x =3 Solve for Y
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Answer:Add x to both sides of the equation.y=3+2x
Step-by-step explanation:
could y be 9 im lost
can someone help me with this
Answers
Answer:
A.) 3/4
Step-by-step explanation:
You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.
Caleigh had a jewelry box with a volume of 14 cubic inches. The area of the base is 7 square inches. What is the height of caleigh’s jewelry box
Answers
Answer:
2 in
Step-by-step explanation:
Given data
Area= 7 in^2
Volume= 14 in^3
from
Volume= Area* height
substitute
14= 7*x
divide both sides by 7
x=14/7
x= 2 in
Hence the height is 2 in
How do you do these question and what's the answer?
-1/3 (n + 15) = -2
46 = -6t -8
Urgent. Please answer ASAP. Thanks guys!
Answers
Answer:
n= -9, t= -9
Step-by-step explanation:
1) -1/3(n+15)=-2
-1/3×n+-1/3×15=-2
-1/3×n -5= -2
-1/3 n-5+5= -2+5
-1/3×n=3
3/-1×-1/3×n=3/-1×3
n= -9
2) 46 = -6t -8
−6t−8=46
−6t−8+8=46+8
−6t=54
Divide both sides by -6
t=-9
Help me. I'll mark brainiest
Answers
Which ones are true?
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Answer:
its box 1,3,5
Step-by-step explanation:
What is an equation for the translation of y = |x| down 8 units?
Answers
The scatterplot for number of enrollments, N, in a sports club, t years after the
year 2006. The equation of the line of the best fit is N = 62t + 35. Find the residual
for the number of enrollments in year 2020 if the actual enrollment is 885
students.
Answers
Answer:
13.7 years
Step-by-step explanation:
The equation of the line of the best fit is N = 62t + 35
where
N is the number of enrollments
t is years after the year 2006
If the actual enrollment is 885 students. Put N = 885 in the given equation.
885 = 62t + 35
or
885 -35 = 62t
850 = 62t
t = 13.7 years
So, the required answer is 13.7 years.
Steve prepreformed the chemistry experiment in which divided 5/8 of a box of baking soda evenly among the five bottles he then added vinegar and water teach volatile to make them bubble up like volcanoes how much baking soda do you put in each bottle
Answers
Answer:
[tex]\mathbf{ \dfrac{1}{8} \ box}[/tex]
Step-by-step explanation:
Given that:
Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;
Then, mathematically:
[tex]=\dfrac{5}{8} \ box \div 5[/tex]
[tex]= \dfrac{5}{8} \ box \times \dfrac{1}{5}[/tex]
[tex]\mathbf{= \dfrac{1}{8} \ box}[/tex]