Answer:
Step-by-step explanation:
Using the relation :
S = ut + 1/2at²
S = distance
Car A :
Initial speed, u = 40 mph
a = negative acceleration = - 1 mph
At time, t = 4
S = 40(4) - 0.5(1)(4²)
S = 160 - 8
S = 152 miles
Car B :
Initial speed, u = 30 mph
a = acceleration = 0.5 mph
S = 30(4) - 0.5(1)(4²)
S = 120 - 8
S = 118 m
Change in distance / time
Rate of change = (152 - 118)m / 4 hours
Rate of change = 34 mi / 4 hr
Rate of change = 8.5 miles per hour
calculate it 3⁷×3²÷3³
Answer:
3^6
Step-by-step explanation:
3^7 × 3^2= 3^9
3^9/ 3^3=3^6
Mariah is painting the surface of a sculpture in the shape of a square pyramid. The base has side lengths of 32 centimeters. The slant height is 25 centimeters. What is the surface area of the sculpture?
Answer:
2,624 cm²
Step-by-step explanation:
Complete the flow proof below by filling in the reasons for 1, 2, 3, 4, and 5.
To prove that EFGH is a parallelogram, the missing reasons are:
1. Alternate interior angles theorem
2. Reflexive property
3. SAS
4. CPCTC
5. Both pairs of quadrilateral EFGH are congruent, hence, EFGH is a parallelogram.
What is a Parallelogram?A parallelogram is a quadrilateral that has: two pairs of opposite sides that are parallel and congruent
To prove that EFGH is a parallelogram, we have the following proof which consists of the reasons that jsutifes each given statement:
1. ∠FGE and ∠HEG are alternate interior angles, therefore, ∠FGE ≅ ∠HEG based on the alternate interior angles theorem.
2. EG ≅ EG based on the reflexive property of congruence.
3. ΔFGE and ΔHEG have:
two pairs of corresponding congruent sides - EG ≅ EG, and FG ≅ EH
one pair of included congruent angles - ∠FGE ≅ ∠HEG
Therefore, ΔFGE ≅ ΔHEG by SAS.
4. Since ΔFGE ≅ ΔHEG, therefore, FE ≅ HG by CPCTC.
5. In conclusion, since both pairs of quadrilateral EFGH are congruent, then EFGH is a parallelogram.
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solve for 'x' given that;
3 sin( 3x-20°) = 2 for 0° ≤ x ≤ 180°
Answer:
x ≈ 20.6°
Step-by-step explanation:
3 sin( 3x-20° ) = 2 → sin( 3x-20° ) = ⅔ → 3x - 20° = arcsin(⅔) → 3x = 20° + arcsin(⅔) →
x = ⅓(20° + arcsin(⅔)) , arcsin(⅔) = 41.81°
x = ⅓( 20° + 41.81° ) = ⅓(61.81°) ≈ 20.6°
Alisha hiked a trail that was 9/10 mile and Joseph hiked a trail that was 5/10 mile. How much farther did Alisha hike than Joseph?
Answer:
4/10 or 2/5 of a mile more.
Step-by-step explanation:
Since the denominators are the same, all you have to do is subtract the numerators.
9-5=10.
Therefore, Alisha hiked 2/5 of a mile further than Joseph.
Find the area of the shaped region
Answer:
Assuming π is represented by 3.14, the correct answer is [tex]50.24m^2[/tex].
Step-by-step explanation:
Because the question is asking for the area of the shaded region, you can ignore the non-shaded versions of the diagram. The formula of finding the area of a circle is [tex]\pi r^2[/tex], where r is the radius of the circle. Since the radius of the shaded circle is [tex]4m[/tex], you can infer that the area of the shaded region would be [tex]4^2 * 3.14[/tex] = [tex]16*3.14[/tex] = [tex]50.24m^2[/tex].
[tex](5 \sqrt{3} ) {}^{2} + 5 { }^{2} = x {}^{2} [/tex]
3 3/4 + 4 5/8 =
with working?
Answer:
8 3/8
Step-by-step explanation:
What is the area and circumference of the given circle
Answer:
Area=36π ft or 113.1 ft
Circumfrence= 12π ft or 37.7 ft
Step-by-step explanation:
A=πr^2
r=6
A=36π ft or 113.1 ft
C=2πr
C=12π ft or 37.7 ft
Find the solutions of 5x^2 -20x +20= 0
Answer:
x = 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
5(2)²-20(2)+20=0
20-40+20=0
0=0
Find the valué of x.
Which is the answer?
A.25
B.34
C.27
D.28
Please help:(
Answer:
c. 27
Step-by-step explanation:
5x = 135. because they are corresponding angles
5x = 135
x = 135/5
x = 27
At the craft store, Gabby bought a bag of blue and red marbles. She received 63 blue marbles and 21 red marbles. What percentage of the marbles were blue?
Write your answer using a percent sign (%).
Answer:
75%
Step-by-step explanation:
63+21 = 84
That is the overall amount of marbles, this allows you to get a percentage
63/84 = .75 = 75%
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least and greatest weights of the potatoes in the data set?
The least and greatest weights of the potatoes in the data set are 1/8 and 3/4 respectively.
How to find the least and greatest weight?The weight of the potatoes are:
1/4 = 0.253/8 = 0.3755/8 = 0.6251/2 = 0.53/4 = 0.751/8 = 0.125Therefore, the least weight of the potatoes is 1/8 equivalent to 0.125
The greatest weight of the potatoes is 3/4 equivalent to 0.75
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Answer:i think it is 54 degree
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
An angle inscribed in a semi circle measures 90. So that means the third angle measures 36.
Kaylee drove 50 miles an
hour for 3 hours. How
far did she drive?
Answer:
150 miles
Step-by-step explanation:
(50 mph)(3 hrs) = 150 miles
There are 300 students in the 9th grade and each student is assigned a locker. The 300 students start down the hall one at a time. The first student opens every locker. The second student closes all the lockers that are multiples of 2. The third student changes the lockers that are multiples of 3 (which means if a locker is closed, they open it. If the locker is open, they close it.) The fourth student changes all the lockers that are multiples of 4. This continues until the 300th student changes the 300th locker. Then, the principal walks down the hall, and changes all the lockers that are prime numbers. At the end, how many lockers will be closed?
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289
Step-by-step explanation:
The pattern will lead to the answer being all the perfect squares from 1 to 300.
operations with functions & compositions
3 ( h(x) ) + j(x)
h(x)= x + 5
j(x) = 2x^2 - 3x + 4
Answer:
2x^2 + 3x + 16
Step-by-step explanation:
fill it in like this 3 (x + 5) + 2x²- 3x + 4
then solve
Angles T and V are complementary. Angle T has a measure of (2x + 10)°. Angle V has a measure of 48°. What is the value of x?
Otter Experience Boat Tours counted how many otters were seen on their recent tours. 17 otters were seen on Wednesday, 20 on Thursday, 19 on Friday, 29 on Saturday, and 31 on Sunday. Find the mean number of otters. otters
Answer:
23.2
Step-by-step explanation:
17+20+19+29+31 = 116
116/5 = 23.2 otters seen per day on average.
Answer:
23.2
Step-by-step explanation:
explain why a triangle can't have two right angles
Answer: They would be a rectangle.
Step-by-step explanation:
2 right angles need at least 4 sides, making it impossible to have a 3-sided 2 right angle triangle.
ø = pie/6 radians. identify the terminal point and tan ø
Answer:
Terminal point: (√3/2, 1/2); tan θ = √3/3
Step-by-step explanation:
The terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
θ = π/6
Taking tan on both sides:
tanθ = tanπ/6 = 1/√3 = √3/3
Terminal points:
= (cosπ/6, sinπ/6)
= (√3/2, 1/2)
Thus, the terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.
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Solve the equation. Be sure to check for extraneous solutions
1.√x+5=12
Answer: 45
Step-by-step explanation:
Answer:
So lets do this the ole fashion way the simple ole 1-step equation
Step-by-step explanation
x=7...........i think.....girl im only a freshman annd apparently ik geometery........so wouldnt it be 7+5=12...........cuh x+5=12........
x=7
I think
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
100°+34°+x°=180°
134°+x°=180°
x°=180°-134°
x°=47°
what are the factors of -9 that have a sum of 0
Answer:
3 and -3
Step-by-step explanation:
+3 -3 =0
sum mean adding
What is an equation of the line that passes through the points (-1,3) and
(-1, 6)?
Please no links:)
Answer:
x = -1
Step-by-step explanation:
Slope = (6-3)/(-1- (-1)
= 3 / 0
- so the line is vertical.
- and as it passes through x axis at x = -1, the answer is x = -1.
What is the value of 0.75–0.5? Write your answer as a fraction in lowest terms.
the answer is 1/5 thanks :v
The value of the given expression of subtraction 0.75–0.5, in simplest fractional form is 1/4.
Use the concept of subtraction defined as:
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
The given expression is:
0.75–0.5
After removing the decimal it can be written as,
75/100 - 5/10
Now simplifying it, we get
(75-50)/100 = 25/100
Now convert 25/100 in their simplest form:
Since 25x4 = 100
Therefore,
25/100 = 1/4
Hence,
The simplest fractional value of 0.75–0.5 is 1/4.
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Graph the inequality.
-5x + 2y<2
Find the area of the shaded region. Round your answer to the nearest hundredth.
Two concentric circles such that the inner circle divides the radius of outer circle into two segments of equal lengths labeled 8 centimeters. The region formed between two circles and one diameter of outer circle is shaded. The diameter makes an arc that measures 180 degrees.
The area is about ??? square centimeters. (if you have another answer you can add me on discord ^LoneLai^#0320)
Answer:
FIRSTLY GET THE AREA OF THE WHOLE CIRCLE BY USING FORMULA [tex]pi \times r ^2[/tex]THEN AFTER THAT DIVIDE THE AREA BY 2AFTER THAT UR ANSWER WILL COMEPLEASE MARK ME AS BRAINLIEST
Thus the area of shaded region is 301.5 cm^2.
What is circle?"The collection of all points equidistant from a fixed point in a plane is called a circle".
For the given situation,
The radius of the inner circle be r = 8 cm and
the radius of the outer circle be R = 16 cm
The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]
Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]
⇒[tex]200.96[/tex]
≈[tex]201[/tex]
Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]
⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]
⇒[tex]803.84[/tex]
≈[tex]804[/tex]
The shaded region replicates the semicircle. So,
Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]
⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]
⇒[tex]402-100.5[/tex]
⇒[tex]301.5 cm^{2}[/tex]
Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]
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y = 100(1.25)
A. Does this function represent exponential
growth or exponential decay?
B. What is your initial value?
C. What is the rate of growth or rate of decay?
help me pls
If a car can travel 192 miles when its gas tank is 75% full, then how far can it travel at the same mileage rate on a full tank?
Answer:
256 miles
Step-by-step explanation:
192/0.75 = 256 miles
Mark brainliest if this helped
Mark brainliest if this helped
