Answer:
1) 13 ft.
2) 23.3 m (when rounded to 1 dp)
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
1) Question 1
The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:
[tex]a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2[/tex]
Take the square root of both sides
[tex]\sqrt{169}=\sqrt{c^2} \\13=c[/tex]
Therefore, the length of the ladder is 13 ft.
2) Question 2
The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:
[tex]20^2+12^2=c^2\\400+144=c^2\\544=c^2[/tex]
Take the square root of both sides
[tex]\sqrt{544}=\sqrt{c^2} \\23.3=c[/tex]
Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.
I hope this helps!
Answer:
Step-by-step explanation:
Using Pythagorean therom ( A aquared + b Squared = c Squared) the answer to the first one is (12 x 12)+( 5 X 5 ) = 169 ft ( i think)
second one hard srry i not smort forgot how to do person above me correct
Plz help giving branliest
Answer:
I believe the answer is '22.82' which would then become '22.8' when rounded to the nearest tenth.
PS: I hope this helps.
Gina is cleaning her closet and wants to know how much floor space she has. Her closet floor is a
3 1/2 ft by 4 1/3 ft rectangle. What is the area of her closet door
Answer:
15(1/16) square feet
Step-by-step explanation:
3 1/2 = 7/2
4 1/3= 13/3
7/2 x 13/3 = 91/6 = 15(1/6)
How would it be solved ?
Answer:
m<1=1/2 216 =108
then 2 is 180 -108 =72
8x+5 with an explanation
Answer:
8x+5
Step-by-step explanation:
it would be 8x+5.
this is because 8x and 5 are not like terms so they cannot be collected which means that the answer is 8x+5
44444t4444444t44t444
Answer:
two
Step-by-step explanation:
its really easy if u think abt it
Answer:
infinitely many
Step-by-step explanation:
y=0 is right on the x-axis, so therefore there would be infinitely many x-intercepts because they are on the x-axis.
The display below shows the number of home runs hit by six of the players on the Cardinals baseball team.
Cardinals Home Runs
Home Runs Hit
Player
Andrew
Braden
Chester
Dylan
Evan
Freddy
Legend:
represents 4 home runs
Plzzz hurry
Answer:
8
Step-by-step explanation:
If each baseball= 4 homeruns, and Chester has 5 baseballs next to his name (20 homeruns), then Evan hit 12 home runs because 4*3= 12 and he has 3 baseballs next to his name.
20-12=8
Type the missing number in this sequence:
6, 36, 216,
, 7,776, 46,656
Answer:
1,296
Step-by-step explanation:
The answer is 1,296 because the numbers are going in the order of powers:
6^1 = 6
6^2 = 36
6^3 = 216
6^5 = 7,776
6^6 = 46,656
The power that is missing is 6 to the 4th power, which, when calculated, would be 1,296.
So, the answer would be 1,296
linear relationships
Answer:
there's not a question
Step-by-step explanation:
How do I get an IEP teacher? A 504 plan?
Answer:
To qualify for a 504 plan, a student needs to have “a physical or mental impairment that substantially limits one or more major life activities.” Life activities can include everyday activities like walking and breathing. But they can also include learning, concentrating, thinking, and communicating.
Step-by-step explanation:
yep
Answer: 504 plans are drafted by a team of specialists. review and compare.
Step-by-step explanation:
i hope this helped
Solve ? I need your helpppppp
Answer:
square = 8
triangle = 3
circle = 2
Step-by-step explanation:
triangle + triangle = 6, one triangle = 3
triangle + circle = 5, circle = 5 - 3 = 2
square + circle = 10, square = 8
Express in y=mx+b
3x-2y=8
Sheldon made a deposit into an account that earns 8% simple interest. After 8 years Sheldon earns $800. What was his initial deposit?
Answer:
$1250
Step-by-step explanation:
Given data
Rate= 8%
Time= 8years
Simple interest= $800
Required
The principal P
We know that the expression for simple interest is given as
SI=PRT/100
substitute
800= P*8*8/100
cross multiply
800*100= 64P
80000=64P
divide both sides by 64
P= 80000/64
P=$1250
Hence the initial deposit was $1250
Malia and Omar want to find the shortest route from their school to a local burger
hangout. The length of Route A is 1.5 times the length of Route B and ¾ the
length of Route C. If Route C is 3 kilometers long, then Route A is how many
kilometers longer than Route B?
Answer:
Route A is 0.75 km longer than route B.
Step-by-step explanation:
Length of route A is 1.5 times the length of route B.
a = 1.5b
[tex]\frac{a}{b}=\frac{15}{10}[/tex]
[tex]\frac{a}{b}=\frac{3}{2}[/tex] --------(1)
Here, a = Length of route A
b = Length of route B
Length of route A is [tex]\frac{3}{4}[/tex] of route C.
a = [tex]\frac{3}{4}c[/tex]
[tex]\frac{a}{c}=\frac{3}{4}[/tex] ------(2)
Here, c = Length of route C
Length of route C = 3 km
Length of route A = [tex]\frac{3}{4}\times 3[/tex] [From equation (2)]
= 2.25 km
Length of route B = [tex]\frac{2}{3}\times 2.25[/tex] [From equation (1)]
= 1.5 km
Difference in route A and route B = 2.25 - 1.5
= 0.75 km
Therefore, route A is 0.75 km longer than route B.
Could someone please help me with this homework assignment?
Il pay 40 or more if u show work?...
Send me a msg
Answer:
1. $27.30 2. $48.00 3. $15.75 4. $24.20 5. $31.00 6. $40.80
Step-by-step explanation:
1. $13.00 + (1.10)($13.00)
= $ 27.30
2. $60.00 - $60.00(0.20)
= $48.00
3. $15.00 + $15.00(0.05)
= $15.75
4. $22.00 + $22.00(0.10)
= $24.20
5. $25.00(0.06) + $25.00(0.18) + $25.00
= $31.00
6. $32.00(0.075) + $32.00(0.20) + $32.00
= $40.80
Hope this helped :)
I need help with these questions! My teacher didn’t teach me how to do these-
Answer:
Graph A has infinite solutions, Graph B has one solution, and Graph C has no solutions
Step-by-step explanation:
A triangle is formed by A (0,1), B(1,0) and C (2,4). which transformation could map point A to point F (0,-1)?
A.Reflection over X axis
B.Rotation 90° clockwise
C.Reflection over Y axis
D. translation down 1 unit
Answer:
Answer A: Reflection over x axis
Answer:
C. Reflection over x-axis
Step-by-step explanation:
Each time you reflect something over the x-axis, the x-coordinate stays the same, but the y-coordinate changes.
what is the range 2 7 7 5 3 4 3
Answer:
The range is 5
Step-by-step explanation:
7-2=5
Find in the triangle. Round to the nearest degree.
a.
45°
C. 60°
b. 59°
d. 42°
Answer:
Theta = 59 degrees
Step-by-step explanation:
Here, we want to get the value of the marked angle
To do this, we use the appropriate trigonometric ratio
From what we have,
The side 42 ft is adjacent the angle given
The side facing the right angle is 82 ft
The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse
Cos theta = 42/82
theta = cos^-1 0.5122
theta= 59.189
To the nearest degrees, this is 59 degrees
Simplify the expression
-7(1+3x)
Answer:
-21x-7
Step-by-step explanation:
Four points are labeled on the number line. K L M N + 0.5 0 Which point best represents ? colm ? Point 2 Point M Point K Point N
Answer:
point k and point n
K L M N
Step-by-step explanation:
Make A the subject of the formula
r=√A/3
Answer:
A = 9r^2
Step-by-step explanation:
r=√A/3
multiply both sides by 3
3r = √A
Square both sides
3^2 * r^2 = A
9r^2 = A
that my answer that I chose but I don't know if it's right
what is the area of the triangle?
Answer:
21
Step-by-step explanation:
10^2-8^2=36
square root of 36=6
height=6
6x7x1/2=21
a diagram is shown, with angels labeled in degrees complete the sentences about the diagram
Answer:
Equation: 5x = 90
x = 18
<LNM = 54degrees
Step-by-step explanation:
From the diagram shown;
<JNK + <KNL + <LNM = 90
x + x + 3x = 90
5x = 90
x = 90/5
x = 18
The equation 5x = 90 can be used to solve for x
Get <LNM = 3x
<LNM = 3(18)
<LNM = 54 degrees
Two tangents PQ and PR are drawn to a circle with center o from an external point P. prove that
Angle QPR = 2 angle OQR
Answer:
Refer the digram & explanation.
Step-by-step explanation:
GIVEN :-
Tangents PQ & PR drawn to a circle with center O from an external point P.TO PROVE :-
∠QPR = 2∠OQRCONSTRUCTION :-
QR joined.FACTS TO KNOW BEFORE SOLVING :-
(Angle at which tangents are inclined to each other from the external point) + (Angle the tangents subtend at the center of the circle) = 180°.PROCEDURE :-
∠QPR + ∠QOR = 180°
⇒ ∠QOR = 180° - ∠QPR
In ΔQOR , OQ = OR (∵ Radii of the circle are equal)
⇒ ΔQOR is an isosceles triangle (∵ OQ = OR i.e. two sides of the triangle are equal.)
⇒ ∠OQR = ∠ORQ (∵ In an isosceles triangle , the base angles are equal)
So,
∠QOR + ∠OQR + ∠ORQ = 180°
⇒ ∠QOR + 2∠OQR = 180° (∵ ∠OQR = ∠ORQ)
⇒ 180° - ∠QPR = 180° - 2∠OQR (∵ ∠QPR + ∠QOR = 180°)
⇒ -∠QPR = -2∠OQR (∵ Cancelling 180° from both the sides.)
⇒ ∠QPR = 2∠OQR (Proved)
find the center and radius of this circle
Answer:
Center: (-13, -2) radius = 9
Step-by-step explanation:
Center: (-13, -2) radius = 9
please someone help
Answer:
3 < y ≥ -3
Step-by-step explanation:
R = 3 < y ≥ -3
The line can't go beyond 3 and also cant be less than -3.
The graphs of y = 4x and y = 4x are shown below.
In general, how does the growth of y = 4x compare to the growth of y = 4x?
The function y = 4x is growing slower than y = 4x.
The function y = 4x is growing faster than y = 4x.
The functions y = 4x and y = 4x are growing at the same rate.
The function y = 4x is growing faster than y = 4x.
For this case we have the following functions:
y = 4x
y = 4 ^ x
We observed that :
The graph y = 4 ^ x is growing faster than y = 4x, because for smaller values of x, it has the same range as y = 4x.
Answer:
The graph y = 4 ^ x is growing faster than y = 4x
answer is b
Answer:
B is your answer
Step-by-step explanation:
just took on edge 2021
Can someone please help me with my test
Answer:
1 C
2 G
Step-by-step explanation:
Hi! Please explain how you got the answer, thanks! :)