23. (a) The area of a rhombus is 90 cm. If the length of a diagonal is 18 cm. calculate the length of the
other diagonal
(b) The diagonals of a rhombus are 28 cm and 24 cm. Find the area of the rhombus.
10) () The height of a trapezium is 12 cm. Find the sum of its parallel sides if its area is 210 cm.
(ii) If the longer side is 2 times the length of the shorter side. find the length of the longer side.

Answers

Answer 1

Answer:

Step-by-step explanation:

a) area of rhombus = 1/2 × d1 × d2 = 90cm^2

here d1 and d2 are the diagonals

d1 = 18 cm

1/2 × 18 × d2 = 90

9 × d2 = 90

d2 = 90/9

d2 = 10 cm

∴The length of other diagonal is 10 cm

b) d1 = 28 cm

d2 = 24 cm

area = 1/2 × d1 × d2

= 1/2 × 28 × 24

= 336 cm^2

∴ The are of the rhombus = 336 cm^2

Hope this helps

plz mark as brainliest!!!!!


Related Questions

Can someone help pls it’s a multiple choice question

Answers

Answer: A & E

Explanation:

Please answer quickly

Answers

Answer:

answer what

Step-by-step explanation:

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Hi hi hehshjjsjkwkwkwwllw

the product 9f 2 numbers is 16/9 . if one number is 5 /2 find the other number​

Answers

Answer:

The answer is 32/45

Step-by-step explanation:

Let the number be x

The product of two numbers is 16/9

That's

x × y = 16/9

One of the numbers is 5/2

That's

y = 5/2

So we have

[tex] \frac{5}{2} x = \frac{16}{9} [/tex]

Multiply through by the LCM

The LCM of 2 and 9 is 18

That's

[tex]18 \times \frac{5}{2} x = \frac{16}{9} \times 18[/tex]

9 × 5x = 16 × 2

45x = 32

Divide both sides by 45

we have the final answer as

[tex]x = \frac{32}{45} [/tex]

Hope this helps you

Helppppp!!!! Thank you

Answers

Greetings from Brasil...

In a triangle the sum of the internal angles is 180 °.... Thus,

Ô = 180 - 30

Ô = 60

The desired area is the area of the rectangle triangle, minus the area of the circular sector whose angle 60

A1 = area of the rectangle triangle

TG B = OA/AB

AB = OA / TG B

AB = 6 / TG 30

AB = 6√3

A1 = (AB . OA)/2

A1 = (6√3 . 6)/2

A1 = 18√3

A2 = area of the circular sector

(rule of 3)

 º                       area

360    ------------   πR²

60     ------------    X

X = 60πR²/360

X = 6π

So,

A2 = 6π

Then the area shaded is:

A = A1 - A2

A = 18√3 - 6π

I need help answering these two questions

Answers

Answer:

Step-by-step explanation:

1. Area=3b*b=300 inches^2

  3b^2=300

  :3         :3

  b^2=100

 b=V100inches ^2

b=10 inches

2. Area=4b*3b

  so 12b^2=4800

        :12        :12

      b^2=400

     b=V400

    b=20 inches

                             

Given only a compass and straightedge, Greeks were able to construct only
regular polygons and circles, thus leaving many constructions impossible to
complete.
A. True
B. False

Answers

Answer: False

A regular heptagon (7-sided figure) cannot be constructed with a compass and straightedge.

plz help with equation of the circle will award fastest CORRECT answer with brainliest

Answers

Answer:

[tex](x-1)^2+(y-2)^2=6.25[/tex]

Step-by-step explanation:

The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

The center is the red dot, which is (1,2). Thus, h=1 and k=2.

To find the radius, you need to use the distance formula. We are given two coordinates: the center (red dot) at (1,2) and a blue dot on the circle at (2.5,4). Find the radius by using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (1,2) be x₁ and y₁ and let (2.5,4) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(2.5-1)^2+(4-2)^2}\\d=\sqrt{(1.5)^2+2^2}\\d=\sqrt{2.25+4}\\d=\sqrt{6.25}=2.5[/tex]

Thus, r is 2.5.

Plugging these numbers into the equation, we have:

[tex](x-h)^2+(y-k)^2=r^2\\(x-1)^2+(y-2)^2=2.5^2\\(x-1)^2+(y-2)^2=6.25[/tex]

Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 30. The expression 0.05n + 0.10d + 0.25q represents the value of the coins, which is $3.45. Jessie has five more nickels than she does quarters. How many of each coin does Jessie have?

Answers

Answer:

n = 12 nickels

d = 11 dimes

q = 7 quarters

Step-by-step explanation:

.05n + .1d + .25q = 3.45

n + d + q = 30

n = q + 5

n = 12

d = 11

q = 7

Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches?

Answers

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

Determine the slope of a line which contains the points (2, 4) and (-6, 9). Write your answer in simplest form.

Answers

Answer:

-5/8

Step-by-step explanation:

(2,4) (-6.9)

m= y2-y1/x2-x1

= 9-4/-6-2

=5/-8

=-5/8

suppose you are mixing red and blue paint in a bucket. do you think the final color of the mixed paint will be the same whether you add the blue or the red paint first?relate your answer to a property of real numbers

Answers

Answer:

It does not matter which color you add first because either way you will end up with the same color, purple. We can relate this to the commutative property of addition because blue + red = red + blue.

Pls mark it Brainliest!!!

Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 − 12xy − 32y2 = 2(x − 8y)(x + By) −4 −2 2 4

Answers

Answer:

B is related to the last term of trinomial

Last term on the left hand side of the equation = Last term on the right hand side of the equation.

The last term on the right hand side is gotten by multiplying all the terms on the right of the two expression.

-32y²=  2*-8y*By

-32y² = -16By²        Compare both

32 = 16B

16B = 32

B = 32/16

B = 2.

Answer:

B = 2

Step-by-step explanation:

2x^2 − 12xy − 32y^2

Factor out a 2

2 ( x^2 -6xy -16y^2)

Factor inside the parentheses

What two numbers multiply to -16 and add to -6

-8 * 2 = -16

-8+2 = -6

2( x-8y) ( x+2y)

B = 2

help me out this is important ot me to get an A

Answers

Answer:

Step-by-step explanation:

4*10^7/6*10^5=6.67, so (B) is the answer.

Answer: Do 4 x 10x10x10x10x10x10x10 do 6x 10x10x10x10x10 once you get those answers you subtract them and that is your answer.

Need help pls will give you five stars

Answers

Answer:

[tex]\boxed{A. (1,1)}[/tex]

Step-by-step explanation:

Well since in,

[tex]f(x) = -3x^2 + 6x - 2[/tex]

the 3x^2is negative that means the parabola has a maximum not a minimum meaning we can take out choices,

B and D.

To find the maximum let’s graph the given equation,

Look at the image below.

By looking at the image we can tell that the maximum is at (1,1).

So the answer is choice A (1,1)

Which box-and-whisker plot best represents the information from the data?
10 12 15 19 22 22 23 26 30 32​

Answers

The correct answer is d

3.7 as a mixed number

Answers

Answer:

[tex]3\frac{7}{10}[/tex]

Please tell me if I'm wrong, and maybe consider brainliest if it's correct of course.

Figure p was rotated about the origin (0,0) by 180. Which figure is the image of p?

Answers

Mentally, rotating the Cartesian Plane 180º, we find that the figure that was in the 4th quadrant goes to the 2nd quadrant.

So, answer B

(x^2-4x)^2+7x^2-28x+12=0

Answers

Answer:

[tex]x^4-9x^2-28x=-12[/tex]

Step-by-step explanation:

[tex](x^2-4x)^2+7x^2-28x+12=0[/tex]

[tex](x^4-16x^2)+7x^2-28x=-12[/tex]

[tex]x^4-9x^2-28x=-12[/tex]

Last week Andi had exams in Chemistry and in Spanish. On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45. On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65. For which class should Andi expect the better grade?

Answers

Answer:

Chemistry

Step-by-step explanation:

To solve the above question, we use the z score formula

Andy took two Exams, Chemistry and Spanish. So we find the z score for both exams.

a) Chemistry Exam

On the chemistry exam, the mean was µ = 30 with σ = 5, and Andi had a score of X = 45

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z = (x-μ)/σ

z = (45 - 30)/5

z = 15/5

z = 3

b) On the Spanish exam, the mean was µ = 60 with σ = 6 and Andi had a score of X = 65.

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

z = (x-μ)/σ

z = (65 - 60)/6

z = 5/6

z = 0.8333333333

Comparing the z score of both Exams,

Andy had a z score of 3 in the Chemistry exam and 0.8333333333 in the Spanish exam.

Therefore, Andy should be expecting a better grade in the Chemistry exam because his z score in the Chemistry exam was higher than that of the Spanish exam.

convert American $553 in Nepal rupees​

Answers

Answer:

65,994.52 Nepalese Rupee

Step-by-step explanation:

using conversion rate 1 usd = 119.74 nepalese rupee

553*119.74

According to the graph, what is the value of the constant in the equation
below?
A. 30
B. 72
C. 60
D. 15

Answers

Greetings from Brasil...

As stated in the statement:

HEIGHT = CONSTANT ÷ WIDTH

H = C ÷ W

so, isolating the variable C....

C = H · W

choosing any point on the graph...

(2; 30)  ⇒ W = 2 and H = 30

C = H · W

C = 30 · 2

C = 60

The value of the constant in the equation shown in the figure would be, 60. Hence option C is true.

Given that,

The graph is the relation between Height and width.

As is given in the graph:

Height = Constant / Width

We observe that the graph passes through (2,30), (5,12), (10,6), (30,2)

So, by using any one point we may get the value of constant( since it is a fixed quantity)

Hence, using the point (2,30)

Width = 2

And, Height = 30

So, we get:

Constant = 2 × 30

= 60

To learn more about multiplication visit:

https://brainly.com/question/10873737

#SPJ6

10. The probability of buying pizza for dinner is 34% and the probability of buying
a new car is 15%. The probability of buying a new car given that you eat pizza for
dinner is 42%. What is the probability of eating pizza for dinner given that they
buy a new car?

Answers

Answer:

The probability of eating pizza given that a new car is bought is 0.952

Step-by-step explanation:

This kind of problem can be solved using Baye’s theorem of conditional probability.

Let A be the event of eating pizza( same as buying pizza)

while B is the event of buying a new car

P(A) = 34% = 0.34

P(B) = 15% = 15/100 = 0.15

P(B|A) = 42% = 0.42

P(B|A) = P(BnA)/P(A)

0.42 = P(BnA)/0.34

P(B n A) = 0.34 * 0.42 = 0.1428

Now, we want to calculate P(A|B)

Mathematically;

P(A|B = P(A n B)/P(B)

Kindly know that P(A n B) = P(B n A) = 0.1428

So P(A|B) = 0.1428/0.15

P(A|B) = 0.952

There are two cameras that take pictures of a traffic intersection. Camera A starts taking pictures at 6 AM and takes a picture every 11 minutes. Camera B starts taking pictures at 7 AM and takes pictures every 7 minutes. Camera A and Camera B take a picture at the same time at four different times before noon. When Camera A and Camera B take their last picture together, how many minutes before noon is it?

Answers

Answer:

41 minutes before noon

Step-by-step explanation:

The given parameters are;

The time camera A starts taking pictures = 6 AM

The frequency of picture taking by camera A = Once every 11 minutes

The time camera B starts taking pictures = 7 AM

The frequency of picture taking by camera B = Once every 7 minutes

The number of times both cameras take a picture at the same time before noon = 4 times

Let the time the two cameras first take a picture the same time be x, we have;

11·y - 60 = x

7·z  = x

Taking the number of times after 7 camera A snaps and noting that the first snap is 6 minutes after 7, we have

11·b + 6  = x

7·z = x

x is a factor of 7 and 11·b + 6 and x is some minutes after 7

By using Excel, to create a series of values for Camera A based,  on 11·b + 6, and dividing the results by 7 we have the factors of 7 at;

28, 105, 182, and 259 minutes after 7

Given that there are 60 minutes in one hour, we have;

259/60 = 4 hours 19 minutes, which is 11:19 a.m. or 41 minutes before noon.

Samantha is making salad for a party at her house. In the salad recipe that she is using, it takes 3/4 of a pound of boneless chicken breasts to make 5 portions of the salad. She uses 1 1/5 pounds of chicken for every 3 cherry tomatoes used, and 9 cherry tomatoes for every 2 bags of spinach used. If Samantha is making enough salad to use 4 bags of spinach, how many portions of salad will she make?

Answers

Answer:

48 portions of salad

Step-by-step explanation:

4 bags spinach = 18 cherry tomatoes = 7.2 lb of chicken

7.2/.75 = 9.6 x 5 = 48

The pH of 0.0001 M solution of Ca(OH)2 is

Answers

Step-by-step explanation:

Since Ca(OH)2 is Basic, we need to find pOH:

pOH = - log [OH-]

pOH = - log(0.0001)

pOH = - ( - 4)

pOH = 4

Since, pH + pOH = 14

Therefore,

pH of 0.0001M sol. of Ca(OH)2 = 10

Graham uses a hot water bottle on an injury to his back he incurred playing basketball. He fills the bottle with water that is 100°F. After 25 minutes, Graham finds that the bottle has cooled and stops using it. What is the domain and range?

Answers

Answer:

Domain= time

Range= temperature

Step-by-step explanation:

Initially hot water cools down over time.

This can be expressed as a function of a temperature by a time. It takes 25 minutes for water to cooled down from 100°F to body temperature.

For any value of the time (from zero to 25 minutes), the temperature has certain value (from 100°F to body temperature). As time value increases, temperature value decreases accordingly.

In this example, time is the domain and temperature is the range.

Find a formula for the 4th term of the following G.P.S a) 1, 2,4......... b)50, 20, 8......... Pls explain very well.. Thank you.

Answers

The nth term is (n-1)^2

The 4th term is (4-1)^2 = 9

Answer:

see below

Step-by-step explanation:

The formula for a geometric sequence is

an = a1 * r^ (n-1)  where a1 is the first term and r is the common ratio

The common ratio is  found by taking the second term and dividing it by the first term

a) 1, 2,4.........

a1 = 1

r = 2/1 = 2

an = 1 * ( 2) ^ (n-1)

Let n = 4

a4 = 1 * 2^ (4-1) = 1 * 2^3 = 8

b)50, 20, 8.........

a1 = 50

r = 50/20= 5/2

an = 50 * ( 5/2) ^ (n-1)

Let n = 4

a4 = 50 * (5/2)^ (4-1) = 50 * (5/2)^3 = 3125/4

A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?

Answers

Answer:

Each book weighs 1/2 lbs

Step-by-step explanation:

Take the total weight and divide by the number of books

10 lbs/20 books

1/2 lbs per book

Each book weighs 1/2 lbs

The work of a student to solve a set of equations is shown:
Equation A: y = 10 - 22
Equation B: 5y = 2 - 4z
Step 1: -5(y) = -5(10 – 2z) [Equation A is multiplied by -5.]
5y = 2 - 42 [Equation B]
Step 2: _5y = 10-22 [Equation A in Step 1 is simplified.]
5y = 2 - 4z [Equation B]
Step 3:
0 = 12 - 6 [Equations in Step 2 are added.]
Step 4:
z = 12
Step 5:
z = 12
In which step did the student first make an error?

Answers

Answer:

Step 2.

Step-by-step explanation:

Given the two equations,

Equation A: y = 10 - 2z

Equation B: 5y = 2 - 4z solved by a student, we are to determine the step where the student made an error in his/her calculation. Let's follow the steps;

Step 1: multiply equation A by -5. The essence of this is to be able to cancel out one of the variables and calculate for the other variable. On multiplication we have;

y = 10 - 2z × (-5)

5y = 2 - 4z × (1)

_____________________

-5y = -5(10-2z) .... A

5y = 2 - 4z..... B

Step 2: simplify equation A by opening the bracket.

-5y = -5(10)+5(2z)

-5y = -50+10z

The equations become;

-5y = -50+10z .... A

5y = 2 - 4z..... B

It can be seen that her simplified expression does not tally with what we got i.e -5y = -50+10z. This was the step the student made the first error.

Since this student step is wrong, the remaining calculation will be wrong.

Let us fix the calculation steps now.

We will continue from the previous step.

Step3: Add equation A and B in step 2 together.

-5y+5y = (-50+2)+(10z-4z)

0 = -48+6z

Step 4: Add 48 to both sides:

0+48 = -48+6z+48

48 = 0+6z

48 = 6z

Step 5: Divide both sides by 6

48/6 = 6z/6

6 = z

z= 6

Hence, the value of z = 6 not 12 and the student made his/her first error in step 2.

A 10 gram sample of a substance that’s used to detect explosives has a k-value of 0.1356.Find the substances half life in days.Round your answer to the nearest tenth.

Answers

Answer:

t ≈ 5.1 days

Step-by-step explanation:

A 10 gram sample of a substance thats used to detect explosives has a k-value of 0.1356. Find the substances half-life in days. round your answer to the nearest tenth. N=N₀ e^-kt N₀= initial mass (at time t = 0) N = mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t=time in days

The initial condition is that, at time t = 0, the amount of substance contains originally 10 grams

Find the value of N₀

N=N₀ e^-kt

We substitute:

10 = N₀ {e^(-0.1356)*0}

10 = N₀ (e^0)

10=N₀(1)

10=N₀

N₀ = 10

When the substance is in half-life

That is, half of the original substance (5 grams)

Find t

N=N₀ e^-kt

5 = 10 e^(-0.1356*t)

0.5 = e^(-0.1356*t)

Bring down t by multiplying natural log on both sides

ln(0.5) = -0.1356*t

Divide both sides by -0.1356

t = -(ln(0.5) / 0.1356

t ≈ 5.11 days

To the nearest tenth

t ≈ 5.1 days

Answer:

5.1 days in Plato

Step-by-step explanation:

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