do u mean rectangle is longer or rectangles lenght is longer
the diagram below shows a triangular metal plate with sides 4.5cm,6cm and 7.5cm. it has three small circular holes of radius 4mm.calculate the area of the plate to the nearest square centimeters.
Answer:
d = 4.5 cm
A = 1/4 (p x d²)
= 1/4 (3.14 x d x d)
= 1/4 (3.14 x 4.5 cm x 4.5 cm)
= 15.9 cm2
The area of the plate nearest square centimeters is 12cm².
What is a scalene triangle ?A scalene triangle has three different sides and corresponding to that three different interior angles.
According to the given question we have triangle with sides 4.5cm,6cm and 7.5cm.
We know for a scalene triangle given 3 sides.
area(A) = [tex]\sqrt{s(s-a)(s-b)(s-c)[/tex].
Where S is semi perimeter and a,b,c are the three sides.
= (a+b+c)/2.
= (4.5+6+7.5)/2 cm.
= 18/2 cm.
= 9 cm.
∴ The area of the triangle is
= [tex]\sqrt{9(9-4.5)(9-6)(9-7.5)[/tex]cm².
= [tex]\sqrt{9(4.5)(3)(1.5)}[/tex] cm².
= [tex]\sqrt{182.5}[/tex] cm² this is in between 13 square and 14 square approx 13.5 cm².
Now it has three small circles of radius of 4 mm or 0.4 cm.
We know area of a circle is πr² and area of 3 circles having same radius is 3(πr²) cm².
= 3{π(0.4)²}
= 3{3.14(0.16)} cm².
= 3(0.5024) cm².
= 1.5072 cm².
Now to obtain the area of the scalene triangle with those three holes of 0.4 cm we have subtract the area of the three circles from the triangle which is
= (13.5 - 1.5) cm².
= 12 cm².
learn more about heron's formula here :
https://brainly.com/question/15188806
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10
17 A sequence starts at 300 and 40 is subtracted each timee.
300
260
2200
1800...
The sequence continues in the same way,
What is the first number in the sequence which is less than zerol?
[11]
9514 1404 393
Answer:
-20
Step-by-step explanation:
300/40 = 7.5, so the 8th term will be the last positive term. It will be 300 -7×40 = 20. The 9th term will be 20 -40 = -20.
__
The sequence starts ...
300, 260, 220, 180, 140, 100, 60, 20, -20, ...
If 12 muffins cost $27, how much would 2 muffins cost?
Difference Quotient. Correct answer is shown. It says multiply by conjugate but I don’t understand what that is and how they did it. TIA
9514 1404 393
Answer:
3/(√(3(x+h)) +√(3x))
Step-by-step explanation:
The conjugate of a binomial is the same sum, but with the sign changed. That is (a +b) and (a -b) are a conjugate pair: each is the conjugate of the other.
The purpose of multiplying expressions involving roots or complex numbers by their conjugate is to take advantage of the relation ...
(a +b)(a -b) = a² -b²
Here. you want to eliminate the h from under the radical, so squaring the radical containing h is useful for the purpose. Hence the conjugate gets involved.
"Multiply by the conjugate" means multiply both the numerator and the denominator by the conjugate. (Effectively, multiply by 1.)
__
[tex]\displaystyle\frac{f(x+h)-f(x)}{h}=\frac{\sqrt{3(x+h)}-\sqrt{3x}}{h}\\\\=\frac{(\sqrt{3(x+h)}-\sqrt{3x})(\sqrt{3(x+h)}+\sqrt{3x})}{h(\sqrt{3(x+h)}+\sqrt{3x})}=\frac{3(x+h)-3x}{h(\sqrt{3(x+h)}+\sqrt{3x})}\\\\=\frac{3h}{h(\sqrt{3(x+h)}+\sqrt{3x})}=\boxed{\frac{3}{\sqrt{3(x+h)}+\sqrt{3x}}}[/tex]
_____
Additional comment
In the end, you will want the limit as h → 0, which will be 3/(2√(3x)). You will notice that h=0 no longer makes the denominator zero, so the limit is found by simple evaluation.
When the "binomial" is a complex number of the form a+bi, its conjugate is a-bi, regardless of the sign of b. That is, the conjugate of a complex number is found by negating its imaginary part. The sign of the real part is left alone.
HELP ASAP PLS 10 points AND BRAINLEST
Answer:
ABC is congruent to EDC because m<3 = m<4 and m<1 = m<5
Step-by-step explanation:
m<3 and m<4 are vertical angles so they are congruent. m<1 and m<5 are alternate interior angles so they are also congruent.
Use the calculator to evaluate each expression. Round your answers to the nearest hundredth.(GIVING BRAINLEST TO BEST ANSWER)
Answer:
tan 43 =.93
cos 67=.39
sin 39=.63
Step-by-step explanation:
tan 43 = .932515086=.93
cos 67=.390731128=.39
sin 39=.629320391=.63
SOMONE HELP WITH MATH
Answer:
x = 28
Step-by-step explanation:
HFG = EFI
6x - 4 = 164
6x = 164 + 4
6x = 168
x = 168/6
x = 28
Help help help help help
Answer:
m(∠y) = 64°
Step-by-step explanation:
From the figure attached,
m(∠e) = 90°
m(∠b) + 67° = 180° [Linear pair of angles]
m(∠b) = 180 - 67
= 113°
m(∠c) + 75° = 180° [Linear pair of angles]
m(∠c) = 105°
m(∠a) = m(∠d)
By the property of a polygon,
Sum of the interior angles of a polygon is given by,
Sum of interior angles = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 5,
Sum of interior angles = (5 - 2)×180°
= 540°
m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°
2m(∠d) + 113° + 105° + 90° = 540°
2m(∠d) + 308 = 540°
2m(∠d) = 540 - 308
m(∠d) = 116°
m(∠d) + m(∠y) = 180°
m(∠y) + 116° = 180° [Linear pair of angles]
m(∠y) = 64°
What is the length of each leg of the triangle below?
459
22
90°
45
O A. 11.12
B. 1
C. 15
D. 11
ET
F. 22
Answer:
option A
Step-by-step explanation:
since the given triangle is an isosceles triangle it's two remaining sides are equal
let the length of missing side be x
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + x^2 = 22^2
2x^2 = 484
x^2 = 484/2
x = [tex]\sqrt{242}[/tex]
x = [tex]11\sqrt{2}[/tex]
Find the sum of the first 5 terms of the following geometric series.
512 - 256 + 128 +...
Answer:
352
Step-by-step explanation:
512 - 256 + 128 - 64 + 32 = 352
some 1 help me plz its algebra 1
At : a.m. the angle of elevation of the sun for one city is . If the height of a monument is approximately , what is the length of the shadow it will cast at that time? Round to the nearest foot.
This question is incomplete, the complete question;
At 11:30 a.m. the angle of elevation of the sun for one city is 55.7°. If the height of a monument is approximately 555 ft, what is the length of the shadow it will cast at that time? Round to the nearest foot.
Answer:
the length of the shadow will be 379 ft
Step-by-step explanation:
Given the data in the question and as represented in the diagram below;
height of monument = 555 ft
angle of elevation = 55.7°
From the image below, this makes a right angled triangle
we know that the some of the interior angles of a triangle is 180
so
∠ABC + ∠BCA + ∠CAB = 180°
90° + 55.7° + ∠CAB = 180°
∠CAB = 180° - 145.7°
∠CAB = 34.3°
Now, using sine rule;
BC / sinA = AB / sinC
so we substitute
BC / sin( 34.3°) = 555 / sin( 55.7° )
BC / 0.563526 = 555 / 0.826098
we cross multiply
BC × 0.826098 = 0.563526 × 555
BC × 0.826098 = 312.75693
BC = 312.75693 / 0.826098
BC = 378.595 ≈ 379 ft
Therefore, the length of the shadow will be 379 ft
HELP !!!! look at the picture
Answer:
Option C:
g(x) = -3^x
Step-by-step explanation:
Here we can see the graphs of f(x) and the graph of g(x).
By only looking at that, we can see that g(x) is a reflection across the x-axis of f(x).
Remember that for a general function f(x), the reflection across the x-axis is written as:
g(x) = -f(x).
Then, if f(x) = 3^x
and g(x) = -f(x)
replacing f(x) we get:
g(x) = -(3^x) = -3^x
The correct option is C.
Evaluate the integral.
∫ 17/ (x^3 − 27) dx
Answer:
??????????????????????????
How much is 13,200 feet in miles
Answer:
2.5 miles
Step-by-step explanation:
approximate 10.54 to the nearest ten
Answer:
11 because <.5 is rounded to the next ten
Anita had $400 in her savings account when she went to college. Her parents will add $200 to her account each month.
Miguel had $25 in his savings account. His parents will double the amount in his account each month.
If Anita and Miguel do not take any money from their accounts, whose account will grow faster? Explain why.
Answer:
Miguel's account
Step-by-step explanation:
Miguel's account savings are doubled every month. Hence, they will eventually surpass the savings of Anita, even though Anita's account has more money atm.
Answer:
Miguel's account
Step-by-step explanation:
Even though Anita had more money at first compared to Miguel, Miguel savings will double each month while Anita will get only $200 each month. As a result, Miguel's account will grow faster compared to Anita's.
What is the volume of the solid figure?
help pls
Answer:
B, 4x6x7 and 1x3x3.
Step-by-step explanation:
First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B is your correct answer.
WILL MARK YOU IF YOU HELP ME !!!!
Answer:
Perpendicular bisector
Answer:
perpendicular bisector
A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distribution that corresponds to the following z-score:
z=3
Answer:
The data item is [tex]X = 580[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 400 and a standard deviation of 60.
This means that [tex]\mu = 400, \sigma = 60[/tex]
z=3
We have to find X when Z = 3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]3 = \frac{X - 400}{60}[/tex]
[tex]X - 400 = 3*60[/tex]
[tex]X = 580[/tex]
The data item is [tex]X = 580[/tex]
HELP WITH MY MATH PLEASEEE
Answer:
x = 18
Step-by-step explanation:
JM = LM
8x - 3 = 141
8x = 141 + 3
8x = 144
x = 144/8
x = 18
Answer:
since its a square each side is equal so
8x-3=141
8x=144
x=18
so
A: x=18
Hope This Helps!!!
A) work out the value of g.
Give your answer in standard form correct to three significant figures.
B) work out the new value of g. Give your answer in standard form correct to 3 significant figures. (M is increased by 8% and T is increased by 5%).
Answer:
4547.14
Step-by-step explanation:
m increased by %8 so it'll be
[tex]6.588 \times {10}^{ - 5} [/tex]
and t will be
[tex]1.785 \times {10}^{ - 6} [/tex]
so G =
[tex] \sqrt{ \frac{(6.588 \times {10}^{ - 5}) }{ {(1.785 \times {10}^{ - 6}) }^{2} } } [/tex]
G= 4547
Which number line represents the solution set for the inequality? HELP PLEASE
Answer:
sorry i dont know next time ill surely help when i know.
At Marco’s school, 5/8 of the students are in the band. What percent of the students are in the band?
2. Tricky Flips sells a coin that promises to land on heads 3 out of every 4 times. If the coin is
flipped 20 times, which of the following is the number of times you should expect it to land
on head
Answer:
15
Step-by-step explanation:
Because 3/4 of 20 or 75% of 20 is 15
HELP ME PLSSS!
The graph below have a same shape what is the equation of the red graph?
A) g(x)=(3-x)2
B) g(x)=3-x2
C) g(x)=2-x2
D) g(x)=(2-x)2
============================================================
Explanation:
The y intercept of the blue curve f(x) is (0,5)
The y intercept of the red curve g(x) is (0,2)
We see that the y intercept has been shifted down 3 units when going from f(x) to g(x). Overall, the entire f(x) curve has been shifted down 3 units to get the g(x) curve.
Based on that, we would say
g(x) = f(x) - 3
g(x) = (5-x^2) - 3
g(x) = -x^2 + (5 - 3)
g(x) = -x^2 + 2
g(x) = 2 - x^2 ..... answer is choice C
Answer:
2-x^2
Step-by-step explanation:
Solve for X in the triangle. Round your answer to the nearest TENTH. (LISTING BRAINLIST PLZ HELP)
Answer:
2.3 =x
Step-by-step explanation:
We know the opposite and adjacent sides.
Since this is a right triangle, we can use trig functions
tan 38 = opp/ adj
tan 38 = x/3
3 tan 38 = x
2.34385688= x
To the nearest tenth
2.3 =x
Answer:
x ≈ 3.9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 38°
Opposite Leg = x
Adjacent Leg = 5
Step 2: Solve for x
Substitute in variables [tangent]: tan38° = x/5[Multiplication Property of Equality] Multiply 5 on both sides: 5tan38° = xRewrite: x = 5tan38°Evaluate: x = 3.90643Round: x ≈ 3.9Write an explicit formula for an, the nth term of the sequence 63,21,7
Answer:
63/3=2121/3=77/3=7 -3
Stephen has some money in a box ,if 3/8 of the money is #4.80,how much does he have in the box?
Will mark Brainlest hellpppp
[tex]h(-3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]
Step-by-step explanation:
[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]
[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]
[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]
[tex]h(2) = \frac{ 8 - 1}{4} [/tex]
[tex]h(2) = \frac{7}{4}[/tex]
[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]
[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]
[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8} [/tex]
