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3 years ago

What is the value of x ?

Mathematics

1 answer:

valina [46]3 years ago

4 0

Answer:

The value of x = 9

Step-by-step explanation:

∵ The figure has right angle and a line ⊥ from the right angle to the hypotenuse

∴ There is a relation between the ⊥ line and the two parts of the hypotenuse

∴ (⊥)² = multiplication of the two parts of the hypotenuse

∴ (6)²= 4 × x

∴ 36 = 4 × x

∴ x = 36/4 = 9

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Help and explain plzzzzzz

nignag [31]

Its 2.59%. i mean i figured it out and i got 2.59%

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3 years ago

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,

scZoUnD [109]

Answer:

It is an arithmetic sequence and the common difference is 5

Step-by-step explanation:

4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)

7 0

3 years ago

Read 2 more answers

A semi-circle window can be used above a doorway or as an accent window

anzhelika [568]

A semicircle is a part of a circle, and it is referred to as half of a given circle. Thud the area of the semi-circle window is 982 $in^{2}$ .

A circle is a shape that is bounded by a curved path which is referred to as the circumference. Some parts of a circle are radius, diameter, sector, arc, semi-circle, circumference, etc.

A semicircle is a part of a circle, and it is referred to as half of a given circle.

such that:

Area of a circle = $\pi$ $r^{2}$

and

area of a semicircle = $\frac{\pi r^{2} }{2}$

where: r is the radius of the circle, and $\pi$ is a constant with a value of $\frac{22}{7}$ .

Thus from the given question, it can be inferred that;

r = $\frac{50}{2}$

= 25

r = 25 in

Thus, the area of the semi-circle can be determined as;

area of the semi-circle = $\frac{1}{2}$ * $\frac{22}{7}$ * $25^{2}$

= 982.1429

area of the semi-circle = 982.14 $in^{2}$

The area of the semi-circle window is approximately 982 $in^{2}$ .

for more clarifications on the area of a semi-circle, visit: brainly.com/question/15937849

#SPJ 1

8 0

2 years ago

As part of a company incentive, each sales person that sells over \$40{,}000$40,000dollar sign, 40, comma, 000 in merchandise th

worty [1.4K]

Answer:

$58,600

Step-by-step explanation:

Data provided in the question:

Commission on Sales upto and including $40,000 = 5%

Commission on Sales above $40,000 = 10%

Total commission = $3,860

Now,

For sales of $40,000

maximum commission = 5% of $40,000

= $2,000

Since the commission received is greater than $2,000

Therefore,

The value of s is greater than $40,000

Thus

Amount qualifying for 10% commission = s - $40,000

therefore,

Total commission = $2,000 + 10% of (s - $40,000)

$3,860 = $2,000 + 0.10 × (s - $40,000)

$1,860 = 0.10 × (s - $40,000)

s - $40,000 = $18,600

s = $18,600 + $40,000

s = $58,600

4 0

3 years ago

Read 2 more answers

Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .

Katyanochek1 [597]

Answer:

a)The component form is

$\vec {QP}=\binom{ - 1}{ - 8}$

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

$\vec {QP}=\vec {OP}-\vec{OQ}$

We substitute the position vectors to get:

$\vec {QP}=\binom{ - 8}{7} - \binom { - 7}{15}$

We subtract the corresponding components to obtain:

$\vec {QP}=\binom{ - 8 - - 7}{7 - 15}$

This gives:

$\vec {QP}=\binom{ - 8 + 7}{7 - 15}$

This simplifies to:

$\vec {QP}=\binom{ - 1}{ - 8}$

The magnitude of a vector in the component form:

$\binom{x}{y}$

$\sqrt{ {x}^{2} + {y}^{2} }$

This means:

$|\vec {QP}|= \sqrt{ {( - 1)}^{2} + {( - 8)}^{2} }$

This simplifies to:

$|\vec {QP}| = \sqrt{ 1 + 64 }$

$|\vec {QP}| = \sqrt{ 65 }$

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

7 0

3 years ago