How you make a Ten with 26+5

. Gold has a density of 19.32 g/cm3. If a square pyramid has a base edge length of 5 cm, height of 6 cm, and a mass of 942 g, is

trapecia [35]

Answer:

The answer to your question is: It is not made of gold.

Step-by-step explanation:

Data

density = 19.32 g/cm³

side = 5 cm

height = 6 cm

mass = 942 g

Formula

V = $\frac{1}{3} L^{2} h$

L² = 5 x 5 = 25 cm²

V = $\frac{1}{3} 25 x 6$

V = 50 cm³

density = 942 g / 50 cm³

= 18.84 g/cm³

It is not made of gold because the density calculated is lower than the density reported in books.

3 0

3 years ago

Read 2 more answers

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago

The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.

Tema [17]

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = $\frac{5+1}{k-4}$ = $\frac{6}{k-4}$ = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

3 0

3 years ago

Sara hiked down a mountain for 4 hours. Each hour her elevation decreased by 8 meters. Compute her change in elevation to her st

Fittoniya [83]

In order for me to figure out the answer I need the "starting point" all I get from this is how much she decreased in total, which is 32.

5 0

3 years ago

Solve for x: the quantity of x plus 4 over 3 = 2. (x+4) ------- = 12 3

vaieri [72.5K]

(x + 4) / 3 = 12.....multiply both sides by 3, cancelling the 3 on the left side
x + 4 = 12 * 3
x + 4 = 36
x = 36 - 4
x = 32

7 0

3 years ago