Answer:
90°, 78°, 12°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then
x + 7x - 6 = 90
8x - 6 = 90 ( add 6 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Then
second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 90°, 78°, 12°
1.
Use synthetic division and the Remainder Theorem to find P(a).
P(x) = x3 + 7x2 + 4x; a = −2
2
12
−2
0
Answer:
12
Step-by-step explanation:
Please write this function as P(x) = x^3 + 7x^2 + 4x + 0. This third order function has four coefficients. We set up synthetic division with -2 as the divisor:
-2 / 1 7 4 0
-2 -10 12
----------------------
1 5 -6 12
The remainder is 12. Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.
Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU. Given that AB ll DC, Which of the following statements is true concerning trapezoid RSTU?
The true statements concerning trapezoid RSTU are:
STUT
CABRS
DRS UT
Based on the given information that Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU, we can determine the relationships between the corresponding sides and angles of the two trapezoids.
Given:
AB || DC
Based on the parallel lines, we can infer the following relationships:
Corresponding sides are parallel:
RS || UT (corresponds to AB || DC)
ST || RU (corresponds to BC || DA)
Corresponding angles are congruent:
∠R ≅ ∠A
∠S ≅ ∠B
∠T ≅ ∠C
∠U ≅ ∠D
From these relationships, we can determine the following statements that are true concerning trapezoid RSTU:
STUT (corresponds to ABCD): The bases of the trapezoids are parallel, so the order of the vertices remains the same.
CABRS (corresponds to DCBA): The corresponding angles in trapezoid RSTU and trapezoid ABCD are congruent.
DRS UT (corresponds to ABDC): The order of the vertices is reversed, but the parallel sides and corresponding angles remain the same.
Therefore, the true statements concerning trapezoid RSTU are:
STUT
CABRS
DRS UT
To know more about trapezoid here
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Find the surface area of the solid.
17 yd
24 yd
An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply: 110 55 35 15
Answer:
35 degrees
Step-by-step explanation:
An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side
sum of angles in a triangle = 180
180 - 110 = 70
since 2 angles would be equal
70 / 2 = 35
Let f (x) = 1/ x-3and g(x) = x+5. What is the domain of (fºg)(x)?
Answer:
I can't find that file. please give it again.
SOMEONE PLS HELP ME
I ATTACHED A PIC
Answer:
See solution below
Step-by-step explanation:
The centre of the circle will be the midpoint of both coordinate
Given the coordinates P(-7, -10) and Q = (3,2)
X = x1+x2/2
X = -7+3/2
X = -4/2
X = -2
Y = y1+y2/2
Y = -10+2/2
Y = -8/2
Y = -4
Hence the centre is at (-2, -4)
The distance between the coordinates will be the diamter
PQ =√(3+7)² + (2+10)²
PQ =√(10)² + (12)²
PQ = √100+144
PQ =√244
radius = √244/2
Get the equation
(x-a)² + (y-b)² = r²
(x -(-2))² + (y-(-4))² = (√244/2)²
(x +2)² + (y+4)² = (244/4)
(x +2)² + (y+4)² = 61
This gives the required equation
Need Help with a math question asap
I can't seem to get this one quite right
2(x+8)^(2)+9=29
Answer format: (__,__)
Answer:
x = {-8 - √10, -8 + √10} exact answer
x = {-11.16, -4.84} decimal approximation
Step-by-step explanation:
2(x + 8)²+ 9 = 29
Subtract 9 from both sides
2(x + 8)² = 20
Divide both sides by 2
(x + 8)² = 10
Take the square root of both sides
x + 8 = ±√10
Subtract 8 from both sides
x = -8 ± √10
x = {-8 - √10, -8 + √10} exact answer
x = {-11.16, -4.84} decimal approximation
I need help with finding the area to this Triangle. This is Geometry by the way.
Answer:
9 sq. units
Step-by-step explanation:
dimensions of rectangle are (7-3),(8-3)
or 4,5
area of rectangle=4×5=20
area of bottom Δ=1/2×4×2=4
area of top Δ=1/2×3×3=9/2
area of right triangle=1/2 ×5×1=5/2
area of Δ HIJ=20-(4+9/2+5/2)
=20-(4+14/2)
=20-(4+7)
=9 sq. units.
or area of triangle =1/2
| 3 5 |
| 7 3 |
|6 8 |
|3 5 |
=1/2[(9-35)+(56-18)+(30-24)]
=1/2[-26+38+6]
=1/2[-26+44]
=1/2(18)
=9 sq. units.
NEED HELP ASAP, WILL GIVE BRAINLIEST
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
280
Step-by-step explanation:
What is 1/3+1/2equal to (fraction form)
Answer-
5/6
Step-by-step explanation:
The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.
Answer:
Whats the question?
Step-by-step explanation:
Solve for x. 7x+9 9x-19
How much is 3×4+9÷6+44×77×777×00+9?
Answer:[tex]3*9+9/6+44*77*777*00+9[/tex], so using order of applications, it simplifies to 27+1.5+9 after multiplying and dividing, and the final answer is 37.5
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
pro tip use bodmas
3*4+9/6+44*77*777*00+9
3*4+1.5+44*77*777*00+9
12+1.5+0+9
22.5
Gia knows that the formula for the surface area of a cube is A = 6s2, where s is the cube's side length. She wants to find the surface area of a cube with sides of length of LaTeX: \frac{1}{4}1 4- foot. What is the surface area of this cube?
Answer:
The area of the cube is equal to [tex]0.375\ \text{foot}^2[/tex].
Step-by-step explanation:
The formula for the surface area of a cube is :
[tex]A=6s^2[/tex]
Where
s is the cube's side length
Put s = 1/4 foot
So,
[tex]A=6\times (\dfrac{1}{4})^2\\A=0.375\ \text{foot}^2[/tex]
So, the area of the cube is equal to [tex]0.375\ \text{foot}^2[/tex].
C. If Stephanie was short of wrapping paper, how much more did she need? If Stephanie had enough wrapping paper, how much of the ten feet was left over?
Complete question :
Stephanie has six identical gift boxes to wrap. Each box is a cube that measures 6 inches on each side. She would like to wrap them all using the same gift wrapping paper. The roll of wrapping paper she has is 30 inches wide and 10 feet long.
Answer:
Left over = 2292 in²
Step-by-step explanation:
Given that :
Gift boxes are identical ;
Each gift box is a cube with side length, s = 6 inches
Area of gift box, Surface area of a cube = 6s²
Area = 6(6²) = 6 * 36 = 216 in²
Area of one gift box = 216 in²
6 gift boxes will be : 216 in² * 6 = 1296 in²
Allowing 2 inches to cover for overlap in each box : 2 inches * 6 = 12 in²
Dimension of wrapping paper = 30 inches by 10 feets
Recall :
1 Feet = 12 inches
Hence ; dimension of wrapping paper becomes :
30 inches by (10*12) inches
30 inches by 120 inches
Area of wrapping paper = 30 * 120 = 3600 in²
Total area of paper - area of gifbox - area of overlap
(3600 - 1296 - 12) in²
= 2292 in²
Leftover = 2292 in²
PLZZ HELP MEEEE PLZ PLZ I’LL MARK AS BRAINLIESTTT!!!!
Answer:
The object is moving at a constant speed
Step-by-step explanation:
A square mirror has a perimeter of 8 ft how long is each side of the mirror
Answer:
2 ft
Step-by-step explanation:
Perimeter = 4 * sides
8 ft = 4 * s
side = 2 ft
Answer:
2 ft
Step-by-step explanation:
8/4 = 2
pleas help due to night
Answer
40.9
Step-by-step explanation:
Answer:
40.9 mm
Step-by-step explanation:
116.9 - (35.1 + 40.9) = 116.9 - 76 = 40.9 mm
Jeremiah mows his yard every week. On the first week of the month, it took 136 minutes to mow
his yard. On the second week of the month, it took him 153 minutes. What is the percent of increase
Mike jogged 6 laps around a 0.25 mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday combined? miles
Answer: 3.25 miles
Step-by-step explanation:
6 + 7 = 13
13 x .25 = 3.25
in which of the expression below does n=3 ? select all that apply.
Answer:
B and C
if n=3 then 5ⁿ=5³=5×5×5=125
n³=3³=3×3×3=27
hope it helps :)
Which list of numbers is ordered from greatest to least?
Answer: second one
Step-by-step explanation:
Piper is buying a bottle of bubbles for $5.99. If there are 3 gallons of bubbles in the bottle, what is the unit rate?
Answer:
5.99/3
Step-by-step explanation:
Teachers usually except this stuff because it is technically correct
20 points ill give brainlest if u can answer both !!
Answer:
3)
Each stripe is 1/18 yards thick, and the fence post if 5/6 yards. Therefore, we have to find how many 1/18s can go into 5/6. Thus, this is a matter of division, and we do 5/6 divided by 1/18 to find how many stripes we can have.
5/6 ÷ 1/18 = 5/6 * 18 = 15
Thus, the answer is D.
4) A is 3, which means we substitute all the "a"s in the expression for 3. Thus we have:
99 - 7[tex]a^{2}[/tex]
99 - 7(3)^2
99 - 7(9)
99 - 63 = 36
Therefore, it is 36.
A soccer dome shaped like a hemisphere has a volume of 450,000 cubic meters. What is the area of its floor? Use 3.14 for π in your calculations and round your answer to the nearest square meters
Answer:
3282 m^2
Step-by-step explanation:
volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7
r = radius
r = (450,000 x (3/2) x(1/3.14)) ^1/3
r = 45.72
Area of a semicircle = 1/2 x n x r^2
1/2 x 45.72^2 x 3.14 = 3282 m^2
Plz help . . . plz???
Answer:
A. x^2+3x-4
B. 6x^2-5x+1
Answer:
A: x^2+3x-4
B: 6x^2 -5x +1
Step-by-step explanation:
Alright, so for this, use the FOIL method, by multiplying the terms of each question in this order:
First
Outer
Inner
Last
So with the first question, lets do this:
(x+4)(x-1)
F: x * x = x^2
O: x * -1 = -x
I: x * 4 = 4x
L: 4 * -1 = -4
Then combine the like terms together:
x^2 + -x + 4x -4
A: x^2+3x-4
With the next one, same deal:
(2x-1)(3x-1)
F: 2x * 3x = 6x^2
O: 2x * -1 = -2x
I: 3x * -1 = -3x
L: -1 * -1 = 1
Then combine them up:
6x^2 -2x -3x +1
B: 6x^2 -5x +1
All done!
Isabelle and Brenda are selling bunches of tulips.
→ Each bunch has 7 tulips.
→ Isabelle sold 7 bunches.
→ Brenda sold 3 bunches
What is the total number of tulips the friends sold?
A. 21
B. 42
C. 49
D. 70
PLEASE HELP!!!
ace help me pls I need help ace
Answer:
?
Step-by-step explanation:
Answer:
ill help but i need the question
Jenelle invested $13000 in two mutual funds. Fund A earned 5% profit during the first year, while Fund B suffered a 2.5% loss. If she received a total of $290 profit, much had she invested in each mutual fund a
Jenelle invested $ ____ fund A
Jenelle invested $ ____into fund B
Answer:
hola la respuesta es 3900 y 2348
Step-by-step explanation:
espero que te sirva
9. Hallar el perímetro de la figura sombreada.
Lado del cuadrado 6 m. (Las curvas son
semicircunferencias)
M
Respuesta:
Perímetro de la parte sombreada = (6pi + 24)
Explicación paso a paso:
Encuentra el diagrama adjunto
Primero necesitamos encontrar el perímetro de los semicírculos externos que sobresalen
Diámetro del semicírculo = 1/2 de la longitud del lado del cuadrado
Diámetro del semicírculo = 1/2 × 6 m = 3 m
Perímetro de los 4 semicírculos = 4 (pi d)
Perímetro de los 4 semicírculos = 4 × 3,14 × 3
Perímetro de los 4 semicírculos exteriores = 1
2pi cm
Para la parte interior sombreada = Perímetro de todo el cuadrado - Perímetro de semicírculo (2 cuadrantes)
Perímetro del cuadrado entero = 4 (6) = 24m
Perímetro de los 2 cuadrantes = pi d
Perímetro de los 2 cuadrantes = 6pi cm
Para la parte sombreada interior, perímetro = 24-6pi
Perímetro de la parte sombreada = 12pi + 24-6pi
Perímetro de la parte sombreada = (6pi + 24) cm