I need help on these questions please
Answer:
Step-by-step explanation:
1). In ΔABC,
For angle A as a reference angle,
Opposite side of ∠A → BC
Adjacent side of ∠A → AC
Hypotenuse → AB
2). By using tangent ratio in ΔYWZ,
tan(72°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(72°) = [tex]\frac{12}{x}[/tex]
x = [tex]\frac{12}{\text{tan}(72)}[/tex]
x = 3.899
x ≈ 3.9
3). By using sine rule in ΔKNM,
tan(x°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
tan(x) = [tex]\frac{20}{58}[/tex]
x = [tex]\text{tan}^{-1}(\frac{20}{58} )[/tex]
x = 19.03
x ≈ 19.0°
4). By applying cosine ratio in ΔJKF,
tan(70°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(70) = [tex]\frac{60}{x}[/tex]
x = [tex]\frac{60}{\text{tan}(70)}[/tex]
x = 21.838
x ≈ 21.8
10.
Find the slope of the line.
A. [tex]\frac{3}{2}[/tex]
B. [tex]-\frac{3}{2}[/tex]
C. [tex]-\frac{2}{3}[/tex]
D. [tex]\frac{2}{3}[/tex]
Answer:
A. 3/2
Step-by-step explanation:
rise/run
from (0,1) to (2,4) the y will rise 3 and the x will go right by 2
A linear function contains the following points.
ху
0-4
A linear function contains the following points.
What are the slope and y-intercept of this function?
O A. The slope is
The y-intercept is (0, -4).
B. The slope is 2.
The v-intercept is (0, -4).
C. The slope is
The y-intercept is (-4,0).
D. The slope is 2.
The y-intercept is (0,4)
Answer:
D. The slope is 2. The y-intercept is (0,-4)
Step-by-step explanation:
[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\= \frac{4-(-4)}{4-0}\\= \frac{4+4}{4}\\= \frac{8}{4}\\= 2[/tex]
y- intercept is where x equal to 0, according to the chart, y-int is (0,-4)
so the answer is D. The slope is 2. The y-intercept is (0,-4)
a sphere has a radius of 6m
what measurement is the closest to the volume of the sphere in cubic inches?
Answer:
[tex]V=55212651.6\ \text{inches}^3[/tex]
Step-by-step explanation:
Given that,
The radius of a sphere, r = 6 m
We know that,
1 m = 39.37 inches
6 m = 236.22 inches
The volume of the sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\pi \times 236.22^3\\\\V=55212651.6\ \text{inches}^3[/tex]
So, the required volume of the sphere is equal to [tex]55212651.6\ \text{inches}^3[/tex].
How do I solve this?
Answer:
Step-by-step explanation:
In order to find the answer. You first have to find the measure of the whole circle, which is 180.
Then you subtract 180-95 to find y.
180-95=85
So y=85
Then you subtract 180 from 80
180-80=100
So x=100
z=80
So the answer is D.
Graham is hiking a trail that is 5 1/2 miles long. He has hiked 3 5/8 miles so far. How many miles does he have left to hike?
Answer:
[tex]1\frac{7}{8}[/tex]
Step-by-step explanation:
In order to find the answer to this question you must convert the mixed numbers into improper fractions and then subtract.
[tex]5\frac{1}{2} -3\frac{5}{8}[/tex]
Convert into improper fractions
[tex]5\frac{1}{2} =2\times5+1=\frac{11}{2}[/tex]
[tex]3\frac{5}{8} =8\times3+5=\frac{29}{8}[/tex]
Now subtract by finding the common denominator:
[tex]\frac{11}{2} \times 4 = \frac{44}{8}[/tex]
[tex]\frac{29}{8} \times1=\frac{29}{8}[/tex]
[tex]44 -29=15[/tex]
[tex]=\frac{15}{8} /1\frac{7}{8}[/tex]
Hope this helps.
A bicycle tire has a radius of 14 inches. How far will the bicycle travel in 40 rotations of the tire?
When calculating circumference you are calculating one rotation. What do you
need to do to get 40 rotations?
Answer:
Step-by-step explanation:
Multiply by 40 :) the answer for the part in red
Pi r = circumference , or all the way around the tire on the outside , once
pi * 14
43.98229 inches = circumference
40 * 43.98229 = 1759.291 inches
1759.291 / 12 = 146.6 feet
:)
I Will Give Brainliest Help Please!!
Answer:
c = xy = b 3-030
i have this free of square unit b 6
Step-by-step explanation:
Muffins come in 3 sizes, 4 flavors, and with or without nut toppings. How many combinations are in the sample space?
Answer:
9 combinations are in the sample space
Step-by-step explanation:
Well there's 3 sizes 4 flavors and with or without nuts
3(Sizes)+ 4(flavors)+ 2(with or without)
Therefor when you add those up you get 9 things people can choose from, known as the sample space.
Original price of a pen: $1.50
Tax: 5%
Answer:
Not sure what you're asking here.
Step-by-step explanation:
If you're trying to find the new price just put in your calculator.
DESIGN Asſa general rule, the number of parking spaces in a parking lot for a movie theater complex varies directly with the number of
theaters in the complex. A typical complex has 30 parking spaces for each theater. A developer wants to build a new cinema complex on a lot
that has enough space for 210 parking spaces. Write the direct variation equation for the number of parking spaces y for x theaters
Answer:
it ia a because i did that on edginuity
Evan cut a triangular piece of cloth to use in a quilt. The perimeter of the cloth is 934 cm. The base of the triangular cloth is 214cm. The remaining two sides are the same length.
One fourth of a number plus 3 gives 4. The number is:
Answer:
x= 4
The number is 4
Step-by-step explanation:
Make it into an equation
1/4x + 3 = 4
1/4 = 4-3
1/4x = 1
x= 1 × 4
x= 4
What is the length of the hypotenuse of the triangle when x = 11?
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
Helppppp
Answer:
6(11)+4=70
5(11)=55
70²+55²
=7259
square root if 7259=85.20
and that's your answer
Goodnight
I know no ones is gonna see this, but I'm desperate and I'm just overall done with my day. But ill give it a shot, please help me solve this.
Answer:
show me the dentist appointment Leventhal and a toothache now
A cylinder has radius 1.6 meters and a height of 12 meters. Find its volume and round to the nearest tenth of a meter.
Answer:
96.5 m³Step-by-step explanation:
Cylinder volume formula:
V = πr²hSubstitute values:
V = π(1.6)²(12) m³ = 96.5 m³ (rounded to the nearest tenth of a m³)two vertical poles of heights 12 inches and 22 inches are separated by a horizontal distance of 24 inches. what will be the distance between the tops of these poles?
Answer: 26 in.
Step-by-step explanation:
Given
Heights of Poles are [tex]12\ in., 22\ in.[/tex]
distance between them is [tex]x=24\ in.[/tex]
the difference in heights of the pole is [tex]y=22-12=10\ in.[/tex]
From the figure, using Pythagoras theorem, distance L is given by
[tex]\Rightarrow L^2=y^2+x^2\\\Rightarrow L^2=10^2+24^2\\\Rightarrow L^2=100+576=676\\\Rightarrow L=\sqrt{676}=26\ in.[/tex]
The distance between tops is 26 in.
.
Pand Q are points on the line 3y - 4x = 12
a) Complete the coordinates of P and Q.
8
Submit Answer
P(0,
,0)
61
5
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
2
c) Draw the line 3y - 4x = 12 for values
of x from -3 to 3.
-3 -2 -1 0
2
3
Answer:
point, P and Q Brocard's points. Prove that P and Q belong to the circle with diameter ... 0 < αi < 2π. ... 5. Square P QRS is inscribed into △ ABC so that vertices P and Q lie on sides AB and
1. Complete the table
y=x+7
X
-1
0
2
4
y = x + 7
For -1:
y = -1 + 7 = 6
y = 7
(x,y) = ( -1, 7)
For 0:
y = 0+ 7
y= 7
(x,y) = (0,7)
For 2:
y = 2+ 7
y= 9
(x,y) = (2,9)
For 4:
y = 4+ 7
y= 11
(x,y) = (4,11)
Please help.
Algebra.
Angie scored 77 points on a test but only received a 35% grade on the test. How many points were possible on the test.
Answer:
77 is 35% of: 220
Step-by-step explanation:
The area of a triangle is 10 square feet.
What is the area of a rectangle with the same length and width?
Answer:
20 square feet
Step-by-step explanation:
Area of a triangle is half the area of a rectangle. (when they have the same length and width!)
To get the area it would be 10 *2 = 20
What is the 50th term in the sequence 187, 183, 179, 175, 171
Answer:
-9
Step-by-step explanation:
I have made it in above picture
hope it helps
HELP NEED THIS FOR A TEST!!! 20 POINTS!!
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.
Answer:
a.
capacity of car = 14 gallons
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons
fuel remaining in car = 14 - 8.4 = 5.6 gallons
so they can drive the car without warning.
b.
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 25 days = 25 x 0.6 = 15 gallons
fuel remaining in car = 14 - 15 = -1 gallons
so they can't drive the car without warning.
c.
the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.
d.
14 - 0.6t = 1.5
or - 0.6t = 1.5 - 14 = - 12.5
or t = -12.5 / - 0.6
or t = 20.8333 days
so he can drive 20 days without warning. E.
14 - 0.6t < 1.5
or t < 20.8333
here t represents number of days car can drive without warning light.
Step-by-step explanation:
The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Given f(x) = 4x - 1 and g(x) = x2, choose
the expression for (fºg)(x).
Click on the correct answer.
Step-by-step explanation:
step 1. f°g(x) = f(x^2)
step 2. f(x^2) = 4(x^2) - 1
step 3. answer: 4x^2 - 1
Landon has $24 in a savings account. The interest rate is 10% per
year and is not compounded. How much will he have in 2 years?
Use formula i=p*r*t, where i is the interest earned, p is the
principal (starting amount), r is the interest rate expressed as a
decimal, and t is the time in years.
Answer:
10% of $24 is $2.40 so $2.40X 2 =$4.80
hayley spent 2 1/2 of an hour playing on her phone. that used up 4/8 of her battery. how long would she have to play on her phone to use the entire battery?
Answer:
5 hours
Step-by-step explanation:
4/8 is simply 1/2 and 1/2 times 2 is 1
so 2 1/2 times 2 is 5 hours
2 questions plz answer both
Answer:
●3 x^2 - 16 x + 20
in this case you will write -16 as a difference
3 x^2 - 6x - 10 x + 2
●2 x^2 + 25x + 50
write 25 as a sum
2 x^2 + 20x + 5 x + 50
Answer:
above is correct i reviewed it id be surprised if its wrong.
Step-by-step explanation:
give above brainliest.....
Answer Fast please!
1. Analyze the following quadrilateral.
1A: Identify the vertices of this quadrilateral.
1B: The quadrilateral is being dilated by a factor of 2.
What are the new vertices of this quadrilateral? Show all your work.
Answer:
1A: (2,1); (2,4); (6,1); (3,4)
1B: (4,2); (4,8); (12,2); (6,8)
Step-by-step explanation:
1A: It's pretty straightforward-- identify the coordinates for each vertex.
1B: If it's being dilated by a factor of 2, then each vertex is going to be multiplied by a factor of 2. So our vertices would be: (4,2); (4,8); (12,2); (6,8).
Hope this helped!
The coordinates of a point, or points (ABCD) following a dilation about the origin is given by the product of the point and the scale factor of dilation
The description, vertices of the figure, and the new vertices are;
1. The figure is a trapezium2. The vertices are; A(2, 1), B(2, 4), C(3, 4), D(6, 1)3. The new vertices are; (4, 2), (4, 8), (6, 8), and (12, 2)Reason:
1. The quadrilateral is a trapezium
2. The vertices of the quadrilateral are given by the coordinates of the points A, B, C, and D, in the figure, which are;
A(2, 1), B(2, 4), C(3, 4), D(6, 1)
3. Dilating the quadrilateral by a scale factor of two about the origin gives;
Coordinates of A' = (2×2, 2 × 1) = (4, 2)
Coordinates of B' = (2×2, 2 × 4) = (4, 8)
Coordinates of C' = (2×3, 2 × 4) = (6, 8)
Coordinates of D' = (2×6, 2 × 1) = (12, 2)
The new coordinates of the vertices of the quadrilateral following a dilation by a scale factor of two are; (4, 2), (4, 8), (6, 8), and (12, 2)
Learn more about dilation by a scale factor here:
https://brainly.com/question/20342390
Juan is twice as old as his brother, Peter. Juan is 12 years old. Which
equation can be used to find Peter's age?
A/ 2 - x = 12
B/ x-2= 12
C/2x = 12
D/ x + 2= 12
Answer:C
Step-by-step explanation:
Answer:
c, becajse thats the one that makes most sence
Step-by-step explanation:
y
