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3 years ago

Can you solve this equation?

Mathematics

2 answers:

Fofino [41]3 years ago

7 0

Answer: Triangle = 10 Circle=5 Half Square =2 therefore the ?=20

Step-by-step explanation:

Leya [2.2K]3 years ago

5 0

Answer:

$10 + 10 + 10 = 30 \\ 10 + 5 + 5 = 20 \\ 5 + 4 + 4 = 13 \\ 10 + 5 + 2 = 17$

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A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0

3 years ago

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

mote1985 [20]

Answer:

5 large boxes

3 small boxes

Step-by-step explanation:

Create two equations to represent the problem.

let "a" be the number of small boxes

let "b" be the number of large boxes

20a + 40b = 260 This equation shows the numbers of books

a + b = 8 This equations shows the number of boxes

Solve the system of equations (solve for a and b). We can solve using the substitution method.

Rearrange a + b = 8 to isolate one of the variables.

a = 8 - b New equation that represents "a"

Since we know an equation for "a", we can substitute what "a" equals into the other equation. There will only be one variable in the equation, so we can solve by isolating. Isolate by doing reverse operations.

Substitute "a" for 8 - b

20a + 40b = 260

20(8 - b) + 40b = 260 Distribute 20 over the brackets by multiplying

160 - 20b + 40b = 260 Collect like terms (numbers with same variables)

160 + 20b = 260 Start isolating "b". Subtract 160 from both sides

20b = 260 - 160

20b = 100 Divide both sides by 20

b = 5 Number of large boxes

Substitute "b" for 5 in the simplest equation

a + b = 8

a + 5 = 8 Subtract 5 from both sides to isolate "a"

a = 8 - 5

a = 3 Number of small boxes

Therefore there were 5 large boxes and 3 small boxes sent.

3 0

3 years ago

The product of two rational numbers is 34.77. If one of the numbers is 6.1, what is the other number?

erik [133]

Answer:

5.7

Step-by-step explanation:

6 0

3 years ago

Boxes of sticky hands popsicles are 4.50. The supermarket is offering a 30% off coupon. What is the price with the coupon?

ArbitrLikvidat [17]

Included in your weekly circular should be free coupons, so coupons are free (disregarding the price you have to pay to live around the area)

if you want to know how much discount the coupon give you then

4.5*3/10=1.35
takes off $1.35

proportion method

30/100=x/4.5
3/10=x/4.5
cross multiply or ties both sides by 10*4.5
3*4.5=10x
13.5=10x
divide both sides by 10
1.35=x

discount of $1.35 (coupon saves you $1.35)

3 0

3 years ago

Read 2 more answers

Which is bigger 100 or 10%

Elanso [62]

Answer: 10%

Step-by-step explanation:

even tho 100 is a bigger number the amount of 10% is 10 times bigger than 100%

4 0

3 years ago

Read 2 more answers

Can you solve this equation?​

Can you solve this equation?