Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Answer:
Step-by-step explanation:
First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:
[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]
Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.
[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]
HOPE THIS HELPS :D
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.
We know that if two angles of any triangle are the same then their opposite sides are also the same.
Let each side length of x ft. Then by the Pythagoras theorem. we have
[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10
Answer:
y = 7x + 3
Step-by-step explanation:
A slope of 1/7 will give you a line that is not very steep. Therefore C and D is not the answer.
Now look at A and B. Check point (1, 10) into equations A and B because this point is on the given graph.
y = 7x + 3 y = 7x + 10
y = 7(1) + 3 y = 7(1) + 10
y = 7 + 3 y = 7 + 10
y = 10 (1, 10) y = 17 (1, 17)
Please help me solve this.
Answer:
63
Step-by-step explanation:
5.
Is the data point, P, an outlier, an influential point, both, or neither?
Answer:
outlier
Step-by-step explanation:
it is way to far away to be any of those other options. that means it is an outlier.
Find the slope of the line that passes through (10, 6) and (1,2)
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]
Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.
Mira weighed 9 lb 4 oz and lost 2 lb 12 oz. How much did she weigh now?
Answer:
6.5lb or 6 lb 8oz
Step-by-step explanation:
16+4(q+11)+10q
simpaly
Answer:
14q + 60
............................
Given: p-q= pq/2.Express p in terms of q.
Here is ur perfect answer
Answer:
p = [tex]\frac{2q}{2-q}[/tex]
Step-by-step explanation:
p - q = [tex]\frac{pq}{2}[/tex] ( multiply both sides by 2 to clear the fraction )
2(p - q) = pq ← distribute parenthesis on left side
2p - 2q = pq ( subtract pq from both sides )
2p - pq - 2q = 0 ( add 2q to both sides )
2p - pq = 2q ← factor out p from each term on left side
p(2 - q) = 2q ← divide both sides by (2 - q)
p = [tex]\frac{2q}{2-q}[/tex]
Can someone pls help me
Please show your work
Answer:
-5=x
Step-by-step explanation:
Angle 105º = (110+x)º
Solve for x.
105=110+x
Subtract 110 from both sides of the equation.
-5=x
Hope this helps :)
I NEED HELP
Jayden’s grandmother gave him a $75 gift card for his birthday. He has spent a total of $38 so far. He wants to spend the rest of the money on baseball caps. Write an inequality that can be used to find the number of baseball caps Jayden can buy with the money he has left on the card if each baseball cap costs $9.49.
Answer:
38+9.49x < or = 100
Step-by-step explanation:
©
Make x the subject of the formula
y = mx – C
Answer:
x = [tex]\frac{y+c}{m}[/tex]
Step-by-step explanation:
Making it the subject means "setting the equation equal to it"
y = mx – C
y + c = mx
[tex]\frac{y+c}{m}[/tex] = x
x = [tex]\frac{y+c}{m}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
⟹mx×(1m)=(y−c)×(1m)
⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
Step-by-step explanation:
What is -x-y=5 in function form solving for y
Answer:
f(x) = - x - 5
Step-by-step explanation:
- x - y = 5 ( multiply through by - 1 )
x + y = - 5 ( subtract x from both sides )
y = - x - 5 , that is
f(x) = - x - 5
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
Answer:
(-4, 3)
Step-by-step explanation:
You have to go -4 on the x-axis, and +3 on the y-axis
pls help asap MIDSEGMENTS
Answer:
tttttttttttttttttttttttttttttttttttttttttttttt
A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens
pls answer it correctly
Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :
1.)
8 : 6
Reducing each side of the ratio by an half(1/2) :
8 × ½ : 6 × ½
4 : 3
2.)
15 : 3
Reducing each side of the ratio by ⅓:
15 × ⅓ : 3 × ⅓
5 : 1
3.)
12 : 6
Reducing each side of the ratio by (one-third) ⅓:
12 × ⅓ : 6 × ⅓
4 : 2
4.)
11 : 7
Increasing the proportion by 4 :
11 × 4 : 7 × 4
44 : 28
5.)
25 eggs : 3 hens
Increasing the number of hens by 3, then egg production will also triple
25 eggs × 3 : 3 hens × 3
75 eggs to 9 hens
Learn more : https://brainly.com/question/25641959
help meeeeeeeeeeeeeee i wll give brainly ponits
<ABC = [ 52° ]
not sure but
hope it helps!
Answer:
[tex] \: [/tex]
∆ ABC → 132 °
Step-by-step explanation:
Given : ∠DBC = 48°
Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘
Therefore,
∠ABC + ∠DBC = 180°
∠ABC + 48 ° = 180° [ ∠DBC = 48° ]
∠ABC = 180° - 48°
∠ABC = 132°
3 yards of ribbon for 1.50 how much yard would 5 yards be
Answer:
1. divide 1.50 by 3 to get the unit cost of a yard
of ribbon. the ansvwer is .75.
2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons
Step-by-step explanation:
final answer $30
List the multiples of 6 between 6 and 54
in order from least to greatest.
Multiples of 6: 6.
?
.24.
?
?
42,
?
54
Answer:
12, 30, 36, 48
Step-by-step explanation:
PLEASE HELPPPPPPP
The maimum or minimum is also called the extreme value of the equation. What are the coordinates of the extreme value on your graph. use the pointer tool of needed.
I attached the graph to the question.
Answer:
the answer would be 1,-8
explain the difference between an indefinite integral and a definite integral.
Answer:
A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).
Step-by-step explanation:
a glass has a radius of 3. a rectangular tray dimensions are 36 by 24. how many glasses can fit on the tray
Answer:
24.
Step-by-step explanation:
The diameter of the glass = 3*2 = 6.
So 36/6 = 6 glasses can be fitted along the length,
- and 24/6 = 4 can be fitted along the width of the tray.
So the number of glass that can fit on the tray = 6*4 = 24.
In a class of 38. Student, 15 play bockey and twice is mang play basketball Each student in the class Plays either backey or basketball
What is the perimeter of the L-shaped figure?
Please answer without using a link.
Answer:
3a+4+4+6+2a
5a+14
Step-by-step explanation:
hope i got it right
Step-by-step explanation:
we know,
perimeter = sum of all sides
so a/q perimeter of the given figure is
→ 3a + 4 + 4 + 6 + a + 4 + 2 + 2a
→ 6a + 20
therefore, perimeter of the given figure is 6a + 20.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Mrs. Thompson deposited $150 000 for three (3) years in a savings account at the bank at a compounded interest rate of 20% per annum. ∙ At the end of the first year, she withdrew $40 000 to pay her daughter’s university fees. ∙ At the end of year two, she deposited an additional $25 000 to the account. Calculate the amount she has in her account at the end of the three years.
Answer: 150,000 x3=450000 and 40,000-25,000=65000
65,000+450,000=515000 thats your answer
Step-by-step explanation:
If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D?
• A. We can't determine from the given information.
O B. Exactly one
O C. Infinitely many
O D. None
Answer:
O B. Exactly one
Step-by-step explanation:
The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Alex laughed, "You're always studying, Dave." This line from the story is an example of: *
symbolism
indirect characterization
sensory details
direct characterization
what is a ratio comparing two different units.
Answer:
A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example.
Step-by-step explanation:
Your welcome
Will give brainly if correct
Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?