What’s the value of x

Answer:

X= 67

Y= 6

Step-by-step explanation:

Triangle TRU is an equilateral triangle which means all sides are equal.

Triangles sum up to 180°.

180/3= 60

60+7= 67

x=67

Triangle TRS is an isosceles triangle which means it has two equal sides.

Triangles sum up to 180°.

180-60= 120

TRS= 120°

60/2= 30°

RTS=  30°

RST=  30°

30/5= 6

y= 6

Answer:

4

Step-by-step explanation:

because 7=3+4, so x=4 to make it 7

Answer:

132

Step-by-step explanation:

Answer:

384 cm²

Step-by-step explanation:

The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.

To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:

For parallelogram:

Height (H) = 7.5 cm

Base (B) = 24 cm

Area of parallelogram (A₁) =?

A₁ = B × H

A₁ = 24 × 7.5

A₁ = 180 cm²

For rectangle:

Length (L) = 24 cm

Width (W) = 8.5 cm

Area of rectangle (A₂) =?

A₂ = L × W

A₂ = 24 × 8.5

A₂ = 204 cm²

Finally, we shall determine the area of the shape.

Area of parallelogram (A₁) = 180 cm²

Area of rectangle (A₂) = 204 cm²

Area of figure (A)

A = A₁ + A₂

A = 180 + 204

A = 384 cm²

Therefore, the area of the figure is 384 cm²

Answer:

35.1

Step-by-step explanation:

We can multiply both sides by 9 to get x=35.1

Step-by-step explanation:

x/9=3.9

x=3.9*9

x=35.1

Answer:

see below

Step-by-step explanation:

9/10

To get as a fraction over 100, multiply the top and bottom by 10

9*10           90

------    = ------------

10*10          100

9/10   = 90/100

The decimal form for 9/10  is .9  and for 90/100 is .90

Answer:

24

Step-by-step explanation:

75% of x = 18

75/100 * x = 18 (x =  total number of students)

solving

x = 24

total number of students = 24

Checking:

75/100 * 24 = 18

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Agenda:

r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

Formluas:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Answer:just do 23 minus 6 and that should be the answer because the y-ccordinate is in the same place

Step-by-step explanation:

Answer: just do 23 minus 6 and that should be the answer because the y-ccordinate is in the same place

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

x+5x+4=3(2x-1)

First off, rearrange:

6x+4=6x-3

The '6x's cancel out (4=-3, incorrect), which means the equation has no solution.

Answer:

un death somthing

Step-by-step explanation:

Answer:

I think that its C

Step-by-step explanation:

I think it might be c because the two smaller(11,7) sides must add up to be longer than the longest side(18).And it would be the same length as the longest side,which means you wont be able to construct the triangle. (Eh my explanation wasnt that good but it is what it is)

Answer:

the answer I would say is ether B or C

Step-by-step explanation:

hope that helps

Answer:

The 95% confidence interval estimate of the true population proportion is (0.5249, 0.7151).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

From a simple random sample of 100 customers, 62 returned within 1 year after receiving the voucher.

This means that [tex]n = 100, \pi = \frac{62}{100} = 0.62[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.62 - 1.96\sqrt{\frac{0.62*0.38}{100}} = 0.5249[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.62 + 1.96\sqrt{\frac{0.62*0.38}{100}} = 0.7151[/tex]

The 95% confidence interval estimate of the true population proportion is (0.5249, 0.7151).

Answer:

d. Approximate the standard normal distribution with the Student's t distribution

(0.2199 ; 0.2327)

Step-by-step explanation:

Given that :

Sample size, n = 31

Sample mean, xbar = 0.2258

Sample standard deviation, s = 0.0188

Confidence interval (C. I) :

xbar ± margin of error

Margin of Error : Tcritical * s/sqrt(n)

Degree of freedom, df = n - 1 = 31 - 1 = 30

Tcritical value :

T0.05/2, 30 = 2.042

Margin of Error = 2.042 * 0.0188/sqrt(31)

Margin of Error = 0.0068949

C. I = 0.2258 ± 0.0068949

Lower boundary : (0.2258 - 0.006895) = 0.2189

Upper boundary : (0.2258 - 0.006895) = 0.2327

(0.2199 ; 0.2327)

Answer:

39

Step-by-step explanation:

You take 141 and divide it bye 3. Then you get 47 then subtract 8. Hope this helps!

Answer:

1/64

Step-by-step explanation:

1/64=(1/8)^2

1/64=(1/4)^3

Answer:

25

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

15 = 3*5

21 = 7*3

3, 5 and 7 are all prime numbers.

Answer:

No, product means multiplication, and the student wrote a division expression.

D

Step-by-step explanation:

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

Answer:

Step-by-step explanation:

x + (180-140) + (180-132) = 180

x = 92°

Answer:

[tex]SA=61.26\ \text{inches}^2[/tex]

Step-by-step explanation:

The surface area of a cylinder is given by :

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where

r is radius and h is height of the cylinder

We have, h = 5 inches and r = 3/2 = 1.5 inches

Put all the respected values.

[tex]SA=2\pi \times (1.5)^2+2\pi \times 1.5\times 5\\\\SA=61.26\ \text{inches}^2[/tex]

So, the surface area of the cylinder is equal to [tex]61.26\ \text{inches}^2[/tex].

Answer:

Answer: 61.23 / {I'm right trust me Acellus 2022}

Step-by-step explanation:

how much metal is needed to create a cylindrical can with a height of 5 inches and a base diameter of 3 inches

Answer:

a = -31

Step-by-step explanation:

According to the question,

-6a + 7a = -31

a = -31

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]