Answer:
13unitsStep-by-step explanation:
If SU and VT are chords that intersect at point R, then;
SR/RT = VR/RU and VT = VR + RT
Given the following
SR= x+6
RU = x
VR = x+1
RT = x+4
Substitute into the expression above;
x+6/x+4 = x+1/x
Cross multiply
x(x+6) = (x+1)(x+4)
Expand
x^2+6x = x^2+4x+x+4
x^2+6x = x^2+5x+4
x^2 will cancel out from both sides
6x = 5x+4
6x-5x = 4
x = 4
Get VT
VT = VR + RT
VT = x+1 + x+4
VT = x+x+1+4
VT = 2x+5
Since x = 4
VT = 2(4) + 5
VT = 8+5
VT= 13 units
Hence the length of the line VT is 13units
Answer: just so you have proof my homie above is correct
Step-by-step explanation:
got it right on edge
Find all values of a such that a x^2 + 3x + 5 = 0 has two real roots.
Answer:
a < 9/20
Step-by-step explanation:
Our equation is the following: ax^2 + 3x + 5
a = unknown
b = 3
c = 5
We are concerned with the discriminant. Namely, b^2 - 4ac must be greater than 0 if we want to real roots
Lets plug in the values:
9 - 4a(5) > 0
9 - 20a > 0
9 > 20a
9/20 > a
a < 9/20
In a quadratic equation given as,
ax² + bx + c = 0
Discriminant of the equation → (b² - 4ac)
For the roots of the equation,
Roots will be real if (b² - 4ac > 0)Roots will be complex if (b² - 4ac < 0)Only one root if b² - 4ac = 0Given quadratic equation in the question is,
ax² + 3x + 5 = 0
Coefficient of x² = a
Coefficient of x = b = 3
Constant term = c = 5
If the roots of this equation are real,
b² - 4ac > 0
(3)² - 4a(5) > 0
9 - 20a > 0
20a < 9
a < [tex]\frac{9}{20}[/tex]
Therefore, for all values of 'a' less than [tex]\frac{9}{20}[/tex], equation will have two real roots.
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874 x 12 - 1,000 · 4³ = ? ajutatima pls
Answer:
-53512
Step-by-step explanation:
874 x 12 - 1,000 · 4³ (We do exponents 1st)
874 x 12 - 1000 x 64 (Multiply 874 with 12, and 1000 with 64)
10488 - 64000
-53512
Derek decorates more cookies. He plots the point (5,10) on the coordinate plane. what is the meaning of point (5, 10)?
A. Derek decorates 5 cookies every 10 mins
B. Derek decorates 10 cookies every 5 mins
(Note that he decorates 2 cookies every minute.)
Answer needed ASAP
Answer:
A. don't know if this helps but with plotting but (x, y) the x always comes first
Answer:
A
Step-by-step explanation:
A. Derek decorates 5 cookies every 10 mins
David correctly graphed an inequality as shown below. -10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 The inequality David graphed was written in the form 7 S 2 What is an expression that could be put in place of the question mark so that the inequality would have the same solution set as shown in the graph?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the value of x picture attached
Answer:
x = 10
Step-by-step explanation:
These angles are same side interior angles.
This means that (11x + 10) + (10x - 40) = 180
Solve for x:
11x + 10 + 10x - 40 = 180
21x - 30 = 180
+30 +30
21x = 210
/21 /21
x = 10
Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?
Answer:
289feet²
Step-by-step explanation:
Area of a rectangle = length x breadth
area of a square = length²
area of the yard that is not covered by the hot tub and fire pit =
Area of the yard - (area of the hot tub + area of the fire pit)
Area of the yard = 20 feet² = 400 feet²
area of the hot tub = 6 feet² x 8 feet² = 48 feet²
area of the fire pit = 7 feet² x 9 feet² = 63 feet²
400 - (48 + 63) = 289 feet²
A keypad has only the letters A-D what's is the total number of possible outcomes if the code has 3 letters
Answer:
The total number of possible outcomes if the code has 3 letters is 64
Step-by-step explanation:
The keypad has only the letters A-D, that is, A,B,C,D.
To calculate the total number of possible outcomes if the code has 3 letters,
let these spaces represent the code _ _ _
For the first space, there are 4 possibilities (since we have 4 letters)
For the second space, we also have 4 possibilities (since there is no restriction on repetition)
Also, we have 4 possibilities for the last space.
Hence, the total number of possible outcomes if the code has 3 letters is 4×4×4 = 4³ = 64.
There are 64 total possible outcomes if the code has 3 letters
The number of letters is given as:
n = 4
The code makes use of three letters.
This means that:
The first letter can be any of the 4 lettersThe second letter can be any of the 4 lettersThe third letter can be any of the 4 lettersSo, the number of possible outcomes is:
Outcomes = 4 * 4 * 4
Evaluate the product
Outcomes = 64
Hence, there are 64 total possible outcomes if the code has 3 letters
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Help ASAP pleaseee lol
I’ve attached my table of what I’ve done
Please help this is geometry external angle theorem!! Will give BRAINLIST
The recycling center collected 48,000 ounces of
aluminum cans last week. How many tons of
aluminum did the recycling center collect?
Answer: 1.5 tons
Step-by-step explanation:
Given
The recycling center collected 48,000 ounces of aluminum can
An ounce is the unit of weight and it can be expressed in tons as
[tex]1\ \text{ounce}=3.125\times 10^{-5}\ \text{tons}[/tex]
[tex]\therefore 48,000\ \text{ounces} \equiv\ 3.125\times 10^{-5}\times 48,000=1.5\ \text{tons}[/tex]
A high jumper starts the bar at 48 inches and raises the bar ½ inch after each jump. How high will the bar be after the seventh jump?
Answer: 51.5 inches
Step-by-step explanation: The high jumper will be making seven jumps, increasing by 1/2 inch each time. In order to calculate how much it will be moved up from the original position we need to multiply 1/2 x 7 jumps = 3.5 inches. In order to calculate how high the bar will now be, we need to add together the original 48 inch height plus the 3.5 inches that it was been raised, so they total is 51.5 inches high.
Henrietta decides to learn 768 new magic spells before her final exam. She plans to learn the same number each day. In the first five days. she learns exatly the number of spells she planned to learn. In the remaining days before her exam, Henrietta learns 6 more magic spells each day than planned. When she still had 1 day left before the exam, Henrietta calculated that she learned 844 new magic spells. How many spells did Herietta plan to learn each day.
Answer:
I’m so sorry, I just had help on this problem earlier, I forgot how to do it, but the answer is 32
Step-by-step explanation:
12 ? -15 = 27
24 ? 3/4 = 18
Answer:
- & ×
Step-by-step explanation:
If we were to put 12 - (-15), the two - would convert to a single +. Thus, the answer should be 12 + 15 which is 27.
If we were to put 24 × [tex]\frac{3}{4}[/tex], we would have to multiply 24 by 3 and divide the answer by 4, which is 18.
The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm. What is the volume of the pyramid? 48 cm3 72 cm3 32 cm3 60 cm3
Answer:
72cm
Step-by-step explanation:
The volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
It is given that the perimeter of the base of a right square pyramid is 24 cm and the height of the pyramid is 6 cm.
It is required to find the volume of the right square pyramid.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the formula for finding the volume (V) of a right square pyramid is:
[tex]\rm V= a^2\times\frac{h}{3}[/tex] Where a is the base side and h is the height of the right square pyramid.
[tex]\rm The \ perimeter \ of \ the \ base \ of \ a \right \ square \ pyramid = 4\times(side)[/tex]
[tex]\rm 24 = 4a\\\rm a=6 \ cm[/tex]
And h = 6 cm, putting this value in the above volume formula, wet get:
[tex]\rm V= (6)^2\times\frac{6}{3} \\\rm V= 36\times 2\\\rm V=72 \ cm^3[/tex]
Thus, the volume of the base of a right square pyramid is 72 cubic centimeters, the option second is correct.
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The options are
27.65
55.3
62.35
124.7
Answer:
Angle BAC = 62.35
Step-by-step explanation:
Here, we want to get the angle marked BAC
From the diagram, we have the angle ABC as 90
This is because angle at the center is twice the angle at the circumference
Furthermore, using the arc angle relationship;
angle ACB is half arc AB
so ACB angle is 55.3/2 = 27.65
mathematically;
Angle BAC + 27.65 + 90 = 180
This is because sum of angles in a triangle is 180
Thus;
angle BAC = 180-90 - 27.65
angle BAC = 62.35
2.What is the slope-intercept form of a line that contains the points (5, - 5) and has a slope of -3?
3. Write an equation of a line that is parallel to y = - 5/2 x + 3 but travels through the origin? (Note: Parallel lines have the same slope.)
Answer:
2. y - (-5) = -3 (x - 5)
3. y = -5/2
Step-by-step explanation:
Point intercept form: y - y₁ = m (x - x₁)
Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.
2. The points are (5, -5) and the slope is -3. Plug this into y - y₁ = m (x - x₁) to get
y - (-5) = -3 (x - 5)
3. As stated, parallel lines have the same slope, so the slope of the line would be -5/2. The origin is (0, 0), so plug these two numbers in.
y - y₁ = m (x - x₁)
y - 0 = -5/2 (x - 0)
y = -5/2
How do you know which number in an exponential function controls how much it is stretched or compressed?
Vertex:
(
2
,
0
)
, Passes through:
(
5
,
−
18
)
Answer:
2>0 5>-18
Step-by-step explanation:
In the parallelogram below, AC = 18, BD = 30, and BC = 15. What is the length of EC?
Answer:
30
Step-by-step explanation:
Which expressions are equivalent to 4(x + 1) + 7(x + 3)? Select all that apply.
A 4x + 4 + 7x + 21
B 4x + 1 + 7x +3
C 11x + 25
D 2x+ 25
E11x + 4
F X+4 + x + 21
Answer:
C
Step-by-step explanation:
4(x + 1) + 7(x + 3) = 11x+25
f(x) = (x + 1)
What is the domain of f?
Choose 1 answer:
Α.
All real values of x such that x = -1
B
All real values of x such that x>-1
С
All real values of x such that x = 0
Find the value of the variable. Round your answer to the nearest tenth.
20
x
62°
Answer: 20 x 62 = 1240. X = 1240
Step-by-step explanation: that is the answer al i did was solv ittt
Mike is playing a card game with his little sister.There are 20 cards,numbered from 1 to 20.What is the probability that he will draw a number divisible by 4?
Answer:
1/5
because between 1and 20 there are 5 numbers which divided to 4 so mike have a probability to get one of 5
Answer:
1/5
Step-by-step explanation:
if there is 20 cards in the deck and they are all numbers 20/5 u would get 1 so the probability is 1 out of 5
John bought a ring for his friend for $3200. He expects it to appreciate 3.5% each year. How much will the ring be worth in 4 years?
Answer:
FV= $3,672.07
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $3,200
Number of periods (n)= 4 years
Appreciation rate= 3.5% = 0.035
To calculate the price of the ring in four years, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 3,200*(1.035^4)
FV= $3,672.07
Ellie works in the produce section at a grocery store. The store receives a shipment of green and red apples that weighs 20.4 pounds in total. Ellie separates the green and red apples into bins by color. If red apples make up 1 4 of the shipment by weight, how many pounds of apples are green?
Answer:
15.3
Step-by-step explanation:
Answer:
15.3
Step-by-step explanation:
Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
How many different size triangles can be drawn with angle measures 90° , 45° , and 45°?
No trinalges
Exactly one triangle
Exactly two triangles
Any number of triangles
Answer:
the answer is the third one
PLZ GIVE THE CORRECT ANSWER I CANNOT FIGURE IT OUT
Answer:
It 148.22
Step-by-step explanation:
Trust me boi and good luck!
4.4471336•10^2/2.900996•10^3 in scientific notation
Answer:
Step-by-step explanation:
I do not know becuase i am not in the grade it looks like
6. A bag contains 240 counters.
Huan removes 15% of the counters.
Esther removes 54 counters.
What is the percentage change in the number of
counters in the bag?
Answer:
48
Step-by-step explanation: