Answer:
m∠KPL = 90°
m∠NPM = 27°
m∠MPL = 63°
m∠JPK = 27°
m∠NPJ = 153°
Step-by-step explanation:
There's a 90° angle in m∠NPL so we can already identify the measure of m∠NPM which is 27° because 63° + 27° = 90° angle.
m∠MPL is GIVEN as 63° in the question!!!
and I'm pretty sure m∠JPK = m∠NPM which is 27°
m∠KPL is 90°. everytime you see a box around that angle, it means the angle measures 90°
Finally for m∠NPJ we add up all of the values that we already know minus the total measure which is 360°.
Explanation: total measure: 360°. 90° + 27° + 63° + 27° = 207.
360° - 207° = 153°
Please help calculate the surface area
Answer:
SA = 189 cm^2
Step-by-step explanation:
What you're going to want to do is calculate the surface area of each type of side (triangle or rectangle) then add them up accordingly!
Starting with triangles: area = 1/2 * l * h
So, in this scenario its (1/2) * 6 * 4 , or half of 24, which is 12 cm^2
Since we have two triangular sides, that totals to 24 cm^2.
Then the rectangular sides: area = l*h
so, 5*11 = 55 cm^2
We have three rectangular sides, totalling 165 cm^2
165+24 = 189 cm^2
Answer:
200 [tex]cm^{2}[/tex]
Step-by-step explanation:
SA = LA + 2B where LA is the lateral area and B is the area of the base(triangle)
LA = ph p = perimeter of base and h = distance between bases
LA = (5 + 5 + 6)11 = 176
B = bh/2 = 6(4)/2 = 12
SA = 176 + 2(12) = 176 + 24 = 200 [tex]cm^{2}[/tex]
(cosA+sinA)
2
+(sinA−cosA)
2
=2
Answer:
Here we want to solve:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
First, remember the two expansions:
(a + b)^2 = a^2 + 2*a*b + b^2
(a - b)^2 = a^2 - 2*a*b - b^2
Using these relations, we can expand:
(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2
( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2
Replacing that in our equation, we geT:
(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2
We can simplify this to get:
2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2
2*cos(A)^2 + 2*sin(A)^2 = 2
We can take the 2 as a common factor to get:
2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2
Now we can divide both sides by 2:
2*( cos(A)^2 + sin(A)^2)/2 = 2/2
cos(A)^2 + sin(A)^2 = 1
And this is a trigonometric property that is true for any value of A.
So the equality:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
is true for any real value of A.
Find the value of x in the triangle shown below.
6
4
Answer: √ 52
Step-by-step explanation:
PLEASE SOMEONE HELP ME??!! i really need it!! thank you!!
A 45°-45°-90° triangle has a hypotenuse that is 162–√ cm long. Each leg of the triangle is ___ cm long
How many unit fraction cubes fit into the first layer of the rectangular prism?
Answer:
33 cubes
Step-by-step explanation:
The first layer is 5 1/2 x 3 = 16 1/2
Since each cube we're using to fill it is 1/2 unit long/wide, it's easiest to convert 16 1/2 into halves...16 = 32 halves + 1/2 = 33
Please show work thank you
Answer:
x = -10, x = -6
Step-by-step explanation:
[tex]x^2+16x+60\\(x+10)(x+6)=0\\x=-10,x=-6[/tex]
Evaluate the expression when b=4 and y=-2
b-5y
Answer:
14
Step-by-step explanation:
4 - 5 * -2 =
4 - -10 =
14
Hope this helped :]
Answer:
14
Step-by-step explanation:
b = 4
y = -2
Therefore;
(4) - 5(-2)
=> 4 - (-10)
=> 4 + 10
=> 14
Hope this helps!
If k = 2, what is the value of k3 - (k-10)+4k ?
Answer:
24
Step-by-step explanation:
The given expression is k^3 - (10-k) +4k
Substitute the numerical value of k=2 in the above expression
2^3-(2-10)+4*2=8+8+8=24
The value of the given expression is 24
Answer:
24
Step-by-step explanation:
k³ - (k - 10) + 4k
= 2³ - (2 - 10) + 4(2)
= 8 - (-8) + 8
= 16 + 8
= 24
Solve for x. x³ = 1000
Answer:
a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=x and b=10 .
Step-by-step explanation:
PLSSSS HELP ASSAP 50 POINTS FPR FIRST PERSON TO ANSWER
Answer:
a. 2/3 or 0.6666...
b. AB = 6cm and AD = 3cm
Step-by-step explanation:
28/42 = 2/3
14/21 = 2/3
42*1/7 = 6
21*1/7 = 3
The diagram shows a triangle.
What is the value of w?
Answer:
The value of w is 63°.
Step-by-step explanation:
All the sides of triangle sum up to 180°.
so
w+71+46=180
or w+117=180
or w=180-117
=63
If the center of the locket is at the origin of a
coordinate plane, which equation represents the
locket?
Answer: I believe it is D, y2/1444+x2/676=1
Step-by-step explanation:
Answer:
It's C. x^2/1444 + y^2/676 = 1
Step-by-step explanation:
I graphed it
Select the correct answer. If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answer:
The answer is C!
Step-by-step explanation:
n! = 120
n = 5
Answer:
c 5
Step-by-step explanation:
Took the test
When changing 67,430,000 to scientific notation, how many places is the decimal point moved?
4
6
7
8
Answer:
7
Step-by-step explanation:
The diameter of a circle measures 22 cm. What is the circumference of the circle?
Use 3.14 for at, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:the circumference of a circle is found by multiplying the diameter by pi
Circumference = 22cm x 3.14 = 69.08 cm
Answer:
69.08 cm
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.
We also know we are using 3.14 for pi. Substitute it in for pi.
Multiply.
The circumference of the circle is 69.08 centimeters.
can someone help please it’s algebra 2
Answer:
length :16cm
wide :20cm
We have
Area of inner frame :16*20=320cm²
For
Total area =464cm²
(20+2x)(16+2x)=464cm²
320+32x+40x+4x²=464cm²
4x²+72x+320-464=0
4x²+72x-144=0
4(x²+18x-36)=0
x²+2.9.x+9²=9²+36
(x+9)²=117
x+9=√117
x=10.81-9
x=1.82[approximately]
So
width of frame;20cm+1.82+1.82=23.64cm
length: 16+1.82+1.82=19.64cm
Here length is smaller than breadth.
what is 5x+14-(3x-5) so so so For this its subtraction expressions
Answer:
2x+19
Step-by-step explanation:
5x+14-(3x-5)
2x+14+5
2x+19
Helpppp pls
Find AB.
WILL MARK BRAINLIEST IF GOTTEN RIGHT
Answer:
8
Step-by-step explanation:
hope this helps
Answer:
C. 3
Step-by-step explanation:
OP = √5²-4²=√25-16=√9= 3
Someone help will mark brainlest and give alot of points please
Alonzo is going on a kayaking trip and needs to hire a guide. The cost of the guide is $55. He wants to give the guide a 10% tip. What is the total cost of the tour after tip is calculated?
Answer:
$60,50
p-by-step explanation:
10%de $ 55 é $5,50
55,00+$ 5,50 = $60,50
Espero ter ajudado!!
1. Change each of the following equations to the form
y = mx + c. Then, state the values of m and c.
(a) -6x- y = 3
(b) 3x - 4y = 12
(c)-2x + 5y = 10
(d) x + 2y = 4
(e) 8x- 4y = 3
(1) 4x + 5y = -6
Answer:
(a) -6x- y = 3
[tex]6x + y = -3\\ y = -6x -3[/tex]
(b) 3x-4y =12
[tex]3x - 4y = 12\\-4y = -3x +12\\4y = 3x -12\\\\y = \frac{3}{4}x -3[/tex]
(c)-2x + 5y = 10
[tex]-2x + 5y = 10\\5y = 2x + 10\\y = \frac{2}{5}x + 2[/tex]
(d) x + 2y = 4
[tex]x+2y=4\\2y = -x + 4\\y = \frac{-1}{2} x +2[/tex]
(e) 8x- 4y = 3
[tex]8x - 4y =3\\-4y = -8x + 3\\4y = 8x -3\\y = 2x -\frac{3}{4}[/tex]
(f) 4x + 5y = -6
[tex]4x + 5y = -6\\5y = -4x - 6\\y = \frac{-4}{5} x -\frac{6}{5}[/tex]
find the unknown sizes of angles in the following
a°
2a°
(a+10)°
Answer:
Step-by-step explanation:
a+2a+a+10=180
4a=180-10
4a=170
a=42.4°
2a=42.5*2=85°
a+10=42.5+10=52.5°
PLZZ HELP ME WITH THIS
Question 1 of 10
AWXY is a right triangle.
X
736
18
18
Y
A. True
B. False
Answer:
A.True
stay safe healthy and happy.The sum of 2 numbers is 21.
The second number is 6 times the first number.
Work out the two numbers.
Answer:
both numbers are 18 and 3
Step-by-step explanation:
Answer:
3 and 18.
Step-by-step explanation:
Let the numbers be x and 21-x, then:
21-x = 6x
6x = 21 - x
7x = 21
x = 3
The 2 numbers are 3 and 18.
PLZ HELPPPPPPPPPP!!!!
Answer:
110.94
Step-by-step explanation:
Surface area is the area of each side of the shape added together. So in this situation, it would be the area of a side, multiplied by 6, because a square has six sides.
To find the area, it's length x width. You're given the length and width, which both are 4.3 mm.
4.3 x 4.3 = 18.49
With this new number, you're gonna multiply it by 6. And the total will be 110.94 mm. :)
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
C. AB = 5.8 cm
Step-by-step explanation:
In trapezoid ABCD, EF is Midsegment.
[tex] \therefore EF =\frac{1}{2} (AB + CD) [/tex]
[tex] \therefore 9.2 =\frac{1}{2} (AB + 12.6) [/tex]
[tex] \therefore 9.2\times 2= AB + 12.6[/tex]
[tex] \therefore 18.4= AB + 12.6[/tex]
[tex] \therefore 18.4-12.6= AB [/tex]
[tex] \therefore AB= 5.8 \: cm [/tex]
Hope this helps!!!
Have a great day!!!
heyy! i’ll give brainliest please help
Answer:
the 3rd option
Step-by-step explanation:
Answer:
B. (Never capitalize directions)
Step-by-step explanation:
north or west are not a name, person, or a city
A plumber has been working at 4 customer sites. He has completed 1/4, 50%, 12.5%, 3/4 and of his work at the sites. Which list shows the work completed at the sites, in order from greatest to least? 1. 12.5%, 1/4, 50%, 3/4 2. 3/4, 50%, 1/4, 12.5% 3. 3/4, 12.5%, 1/4, 50% 4. 1/4, 50%, 3/4, 12.5%
Answer:
2. 3/4, 50%, 1/4, 12.5%
Step-by-step explanation:
Work completed at the 4 sites = 1/4, 50%, 12.5%, 3/4
1/4 = 0.25
50%
= 50/100
= 0.5
12.5%
= 12.5/100
= 0.125
3/4
= 0.75
in order from greatest to least?
3/4, 50%, 1/4, 12.5%
1. 12.5%, 1/4, 50%, 3/4
2. 3/4, 50%, 1/4, 12.5%
3. 3/4, 12.5%, 1/4, 50%
4. 1/4, 50%, 3/4, 12.5%