The special right triangle is the right triangle that have acute angle values
that simplify the process of finding its dimensions.
The correct values are;
1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
Reasons:
1. The length of the ladder = 15 ft.
Height of the ladder above the ground, h = 13.8 ft.
Required:
The angle the ladder makes with the ground.
Solution:
The angle the ladder makes with the ground is given by the equation;
[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]
[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]
2. The given parameters are;
XY = 11
∠Z = 35°
YZ = Required
In a right triangle, the side facing the acute angle is a leg of the triangle.
Therefore;
XY is the opposite side to ∠Z
[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]
Which gives;
[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]
[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]
YZ ≈ 19.18 ft.
3. AC = 14 ft.
∠A = 30
Required:
The length of the other two sides
Solution:
Where by AC is the hypotenuse side, we have;
CB = AC × sin(∠A)
Therefore;
CB = 14 × sin(30°) = 7
CB = 7 ft.
AB = AC × cos(∠A) = 14 × cos(30°) = 7·√3
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1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
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?
How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?
Answer:
see explanation
Step-by-step explanation:
If a polynomial f(x) is divided by (x - r) then the remainder is f(r)
3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?
Answer:
50 second
Step-by-step explanation:
let the distance between Michael and kyle (s)
s= 50 m
we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)
v = s/t
t = s/v
Vm = speed of Micheal
Vk = speed of kyle
v = ( Vm - Vk )
t = 50/(4-3) = 50 second
I need help on these two PLEASE!!
Answer:
22.
x=35
y=8
23.
x=30
y=50
Step-by-step explanation:
(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answer:
75 ≥ 2s + 5l
75 = guests
2 is = amount of people per small table
5 is = amount of people per big table
Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330
Answer:
roughly 58
Step-by-step explanation:
the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:
429+38=467
467÷8=58.375 (round up)
Answer:
about 59 weeks
Step-by-step explanation:
30/x = 54/81 what value does x have to be to make it true
Answer:
x=45
Step-by-step explanation:
30/x = 54/81
30 = 54/81(x)
x = 30 ÷ 54/81
x=45
Answer:
x = 45
Step-by-step explanation:
30/x = 54/81
~Cross multiply
30 * 81 = 54 * x
~Simplify
2430 = 54x
~Divide 54 to both sides
45 = x
Best of Luck!
Plz help me
I really appreciate it
Answer:
a = 45°
Step-by-step explanation:
In triangle PSR
PS = RS (Given)
angle SPR = angle SRP (isosceles triangle property)
Let angles SPR and SRP be x
Therefore, 90° + x + x = 180° (angle property)
=> 90° + 2x = 180°
=> 2x = 180° - 90° = 90°
=> 2x = 90°
=> x = 90° ÷ 2 = 45°
=> x = 45°
Hope it helps:)
whats is 8:55 after 25 minutes
13. Find the distance between (-9, -1) and (-2,-6). Round to the nearest tenth.
A) 8.6
B) 12.1
C) 9.9
D) 13.0
Answer:
(A) 8.6
Step-by-step explanation:
distance =√((x_2-x_1)²+(y_2-y_1)²)
the actual distance is 8.602325.
rounded distance is 8.6
Can someone plz help I will mark Brainliest.
Answer: A( 148 meters )
Answer:
Choice A
Step-by-step explanation:
Using vertical angles, you know the side under the top 20 meters is also 24 meters. Then the most bottom side of the lower garden is 30 meters. You have 30+30+20+20+24+24=2(30)+2(20)+2(24)=2(30+20+24)=2(74)=148. Thus, choice is correct.
DUBS
Please consider giving a brainliest, because you did promise one ;)
GEOMETRY please help !
Step-by-step explanation:
A.
The incorrect statement in Triangle A is B
It is not a equilateral triangle. It is a isosceles triangle
B.
The incorrect statement in Triangle B is C
The missing angle is not 158. It is 68
C.
The incorrect statement in Triangle C is C
The missing angle is not 72 it is 36
an angle measuring between 90 and 180 is called__
Answer:
A) obtuse angles
Step-by-step explanation:
Options:
A.obtuse
B.acute
C.straight
D.small
Correcr Answer A) obtuse
(Hope this helps can I pls have brainlist (crown)☺️)
NO LINKS NO FILES NEED HELP ASAP GET IT RIGHT YOU GET CROWN!!
Seriously no links or files
Answer: A = 27 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (3)(9) A = 27 units^2
a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week
Answer:
382.85
Step-by-step explanation:
hours. amount
8. 80.60
38. ??
=382.85
x-4-2=-11
i need help on this asap
Answer:
X = -5
Step-by-step explanation:
X-4-2=-11
X-6=-11
X=-11+6
X=-5
Hope it helped youuuuu
Although mercury is a metal, it is a liquid at room temperature. Mercury melts at about "-39°C." If the temperature of a block of mercury starts at "-54°C." and increases by 22°C, does the mercury melt?
Explain your answer! Please make sure it’s valid.
Rachel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $67.96 and costs an additional $0.11 per mile driven. How many miles would Rachel need to drive for the two plans to cost the same?
Answer:
300 miles
Step-by-step explanation:
$67.96 + $0.11x = $55.96 + 0.15x
x = 300
I hope this helps!
Write
3^2 × 3√3 as a single power of 3.
Answer:
27√3
Step-by-step explanation:
A certain blueprint shows two fences. Fence A is 1 1/5 yards long but is 1 4/5 inches long on the blueprint. What is the unit rate for inches per yard on this blueprint? If the fence B is 4 yards long, how long is fence B on the blueprint?
Answer:
Q1: 3/72
Q2: 6 inches
Step-by-step explanation:
What is the unit rate for inches per yard on this blueprint?
First convert 1 1/5 yards to inches, so that becomes 216/5 inches.
To keep things consistent, let's convert the 1 4/5 inches to an improper fraction: 9/5 inches.
The question asks for inches per yard, so we substitute in the values:
[tex]\frac{\frac{9}{5} }{\frac{216}{5} }[/tex]
and simplify: 3/72
If fence B is 4 yards long, how long is fence B on the blueprint?
Convert 4 yards to inches (to comply to the ratio above): 144 inches
The ratio is inches to yards, so substitute in the value:
[tex]\frac{3}{72} = \frac{x}{144}[/tex]
and solve: 6 inches
27 x 9^3x can be written in the form 3^k where k is an expression in terms of x. Find k
Answer:
27 x 9^3x = 3^3 x 9^3x = 3^3 x (3^3)^3x = 3^3 x 3^9x = 3 ^3+9x
3^3+9x = 3k
ln(3^3+9x) = ln(3^k)
3+9x(ln3)=k(ln(3))
k= 3(1+3x)/ln(3)
Step-by-step explanation:
ln(x^n) = n(ln(x))
5p + 3 = 15
please convert this into a WORD PROBLEM
Answer:
What is the value of p if 5p+3=15
Answer:
When the product of 5 number and a number is added to 3 result is 15. Find the number.
State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl
Balanced reaction:
[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]
The reaction type is double replacement.
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π in
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
Solve the inequality, m+15<6 ?
Answer:
m < -9
Step-by-step explanation:
m+15<6
Subtract 15 from each side
m+15-15<6-15
m < -9
1 2/5m-3/5(2/3m+1) pls help me I need to simply it
In fraction form: -(3/5)
Decimal form: -0.6
Hope this helps!
secure.learningblade.com/MyMissions/Index/18?IsGuide Viewed=False&IsAssigned=Not%20As
Calculating Dose
An 8 year old child is running a temperature of 103 degrees F
and his parent would like to give acetaminophen but doesn't
know how much. He has a bottle of suspension (liquid) at
home and says that the bottle reads "80mg/ half-teaspoonful"
and the child weighs about 25kg. He has an oral syringe that is
marked off at 0.2 milliliter intervals and goes up to 10ml. The
standard dose for acetaminophen elixir is 10mg/kg.
Answer:
5*jjjjjjjjkkkkkkkkkk
what is the formula for surface area of a pyramid?
what is the forumla for surface area of a square
for pysamid is ph+B2
hope it helps
What is -6/2 simplified
The fraction number negative 6/2 in the simplified form will be negative 3.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The fraction number is given below.
⇒ - 6 / 2
Simplify the fraction number, then we have
⇒ - 6 / 2
⇒ - 3
The fraction number negative 6/2 in the simplified form will be negative 3.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ5
Las propiedades de las multiplicaciones nos llevaran a igualar distint
algebraicas para determinar su equivalentia,
1. En la figura 2.1 se muestran dos formas de descomponer el drea de
cuyos lados miden 35 u y 22 u. Completalos con las medidas que fa
a) Cual es el area total de los rectangular?
b) Calcula el area de las secciones que componentcada rectangula
c) Que relacion hay entre el area total de cada rectangular y las areas
nes que los component
35 u X 20 u
30 u x 20 u
Answer:
i think it would be c
Step-by-step explanation:
