A right square pyramid is shown. The base has a side length, b, of 30 centimeters (cm). The height, h, is 10 cm.

What is the length, in centimeters, of l?

Draw and label a triangle to model how to find the length of l.
What are the lengths of the legs? How do you know?







What is the length, in centimeters, of l? Use your model to help you find this value.

Answer:

4

Step-by-step explanation:

split it in half u get a subtract sing makes that (8-4=4)

Answer:

6. x = 15

7. JL = 78

Step-by-step explanation:

6. 8x - 23 = ½(10x + 44) (midsegment theorem)

Multiply both sides by 2

2(8x - 23) = 10x + 44

16x - 46 = 10x + 44

Collect like terms

16x - 10x = 46 + 44

6x = 90

Divide both sides by 6

x = 90/6

x = 15

7. MN = 5x - 16

JL = 4x + 34

MN = ½(JL) (midsegment theorem)

5x - 16 = ½(4x + 34) (substitution)

2(5x - 16) = 4x + 34

10x - 32 = 4x + 34

Collect like terms

10x - 4x = 32 + 34

6x = 66

x = 66/6

x = 11

JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34 = 44 + 34

JL = 78

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

a = 180 - (90 + 28) = 180 - 118 = 62

b = a = 62 ( vertically opposite angles )

c = 180 - (90 + 62) = 180 - 152 = 28

Since a = b = 62 and c = 28

Then the triangles are similar by the AA postulate

Answer:

A=62 degrees

B= 45 degrees

C=45 degrees

Step-by-step explanation:

Answer: 5r-5s

Step-by-step explanation:

Hope this helps :)

Answer:

A) 5x² - 6x + 1

Step-by-step explanation:

In this question, you would have to simplify the expression.

Solve:

(3x² - 2) + (2x² - 6x + 3)

Combine like terms.

3x² - 2 + 2x² - 6x + 3)

5x² - 2 - 6x + 3

5x² - 6x + 1

Since there's no more like terms, we have completely simplified the expression.

Therefore, your answer would be A) 5x² - 6x + 1

Answer:

A is 60

AC is 150

BC is 120..........

Answer:

Center = (5,-3) and radius = 7

Step-by-step explanation:

(5) If Oskar bisects the diameter of a circle, what is he trying to construct the radius of the circle.

(6) The given equation is :

[tex](x-5)^2+(y+3)^2=49[/tex]

The general equation of circle is given by :

[tex](x-a)^2+(y-b)^2=r^2[/tex] ...(1)

Where

(a,b) are the coordinates of the centre and r is the radius.

The given equation can be written as :

[tex](x-5)^2+(y+3)^2=7^2[/tex] ..(2)

Comparing equation (1) and (2) we get :

a = 5, b = -3 and r = 7

So,

Center = (5,-3) and radius = 7

Hence, this is the required solution.

Answer:

[tex]16[/tex]

Step-by-step explanation:

Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:

[tex](a^{b}+b^{a})-1[/tex]

[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)

[tex]=(8+9)-1[/tex] (Evaluate exponents)

[tex]=17-1[/tex] (Evaluate expression in parentheses)

[tex]=16[/tex] (Simplify)

Hope this helps!

Answer:

16

Step-by-step explanation:

Given

([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16

This is how you would graph y=5x+1

Answer:

hannah is 47 and Anthony is 45

Step-by-step explanation:

Sum= 92= a+(a+1)

sum= 45+(46+1)

sum= 45+47

sum= 92

Answer:

a³+b³

Step-by-step explanation:

this is formula. You can also refer to the attachment

Answer:

Step-by-step explanation:

(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)

                               = a*a² - a*ab +a*b + b*a² - b*ab + b*b

                               = a³ - a²b + ab   + a²b -ab² + b²

                             = a³ - a²b + a²b + ab - a²b + b²

                            = a³  + ab - a²b + b²

Answer:

π radians

Step-by-step explanation:

The angle subtended at the centre by an arc, has the same measure as the arc subtending it, then

angle subtended = measure of arc = π radians

Answer:

Step-by-step explanation:

These represent the points on the graph with w as the x-axis and l as the y -axis. You only need two pairs to make a line, but it is always best to use a 3rd point as a check.

Answer:

64.58

Step-by-step explanation:

Answer:154.84%

Step-by-step explanation:

[tex]y=7+4x\\2(7+4x) +4x=2\\14+8x+4x=2\\14+12x=2\\12x=-12\\x=-1\\\\y-4(-1)=7\\y+4=7\\y=3[/tex]

(-1,3)

Answer:

11 cevapppppppppppppp bb

Answer:

9

Step-by-step explanation:

Answer:

x+5

Step-by-step explanation:

15+x-10=x+5

Answer:

C≈9.42m

Step-by-step explanation:

C=πd=π·3≈9.42478m

Answer:

-1

Step-by-step explanation:

2x² - 5x + 7 is subtracted from x² + 2x - 11, so

(x² + 2x - 11) - (2x² - 5x + 7)

x² + 2x - 11 - 2x² + 5x -7 (Distribute the negative)

-x² + 7x - 18 (Combine like terms)

The leading coefficient is the coefficient of the first term, so it is -1.

Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

Answer:

Step-by-step explanation:

area of base = π4² = 16π in²

lateral area = 2πrh = 2π·4·6 = 48π in²

surface area = 2×16π + 48π = 80π in² ≅ 251.3 in²

Answer: 100.54 in^2

Step-by-step explanation:

(the area of a circle*2) + (the circumference*the height) = the surface area of the circle

Area of a circle: Pi*r^2

Circumference: 2*Pi*r

Answer:

no. of consecutive integers--- X, X+1, X+2.

there sum is 60

X+X+1+X+2=60

3X+3=60

X+1=20

X=19

integers are=19, 20, 21

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = [tex]\frac{1}{3}x^{2}-2x+8[/tex]

Here x = rider's horizontal distance from the start of the ride

i). [tex]y=\frac{1}{3}x^{2}-2x+8[/tex]

      [tex]=\frac{1}{3}(x^{2}-6x+24)[/tex]

      [tex]=\frac{1}{3}[x^{2}-2(3x)+9-9+24][/tex]

      [tex]=\frac{1}{3}[(x^{2}-2(3x)+9)+15][/tex]

      [tex]=\frac{1}{3}[(x-3)^2+15][/tex]

      [tex]=\frac{1}{3}(x-3)^2+5[/tex]

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    [tex]8=\frac{1}{3}(x-3)^2+5[/tex]

    [tex]3=\frac{1}{3}(x-3)^2[/tex]

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

Answer:

it is 80°

cause it is coming from the same cord AB

O and C will be same

Answer:

x = 40

Step-by-step explanation:

x = 80÷2 = 40

Central angle theorem

Answer: C. 0 ≤ x ≤ 230

When the  A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].

Here the domain is the values of 'x' in the function f(x).

the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)

So, the domain of the function for this situation is [0,260].

Learn more about domain here: https://brainly.com/question/18573273